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COURSE FILE
ON

DIGITAL SIGNAL PROCESSING

Course Code - EC602PC

III B.Tech II-SEMESTER

A.Y.: 2022-2023

Prepared by

Mr. Y.RAJU
Assistant Professor
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DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING

Academic Year 2022-2023

Course Title DIGITAL SIGNAL PROCESSING
Course Code EC602PC
Programme B.Tech
Year & Semester III year II-semester
Branch & Section ECE-A
Regulation R18
Course Faculty Mr. Y. RAJU, Assistant Professor

Index of Course File

S. No. Name of the content

1 Institute vision and mission
2 Department vision and mission
3 Program Educational Objectives/ Program Specific Outcomes
4 Program Outcomes
5 Course Syllabus with Structure
6 Course Outcomes (CO)
7 Mapping CO with PO/PSO and Justification
8 Academic Calendar
9 Time table - highlighting your course periods including tutorial
10 Lesson plan with number of hours/periods, TA/TM, Text/Reference book
11 Web references
12 Lecture notes
13 List of Power point presentations
14 University Question papers
15 Internal Question papers, Key with CO and BT
16 Assignment Question papers mapped with CO and BT
17 Tutorial topics
18 Result Analysis to identify weak and advanced learners - 3 times in a semester
19 Result Analysis at the end of the course
20 Remedial class for weak students - schedule and evidences
21 CO, PO/PSO attainment sheets
22 Attendance register
23 Course file (Digital form)
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INSTITUTE VISION AND MISSION

Vision:

To become a premier institute of academic excellence by providing the world class education
that transforms individuals into high intellectuals, by evolving them as empathetic and
responsible citizens through continuous improvement.

Mission:

IM1: To offer outcome-based education and enhancement of technical and practical skills.
IM2: To Continuous assess of teaching-learning process through institute-industry
collaboration.
IM3: To be a centre of excellence for innovative and emerging fields in technology
development with state-of-art facilities to faculty and students’ fraternity.
IM4: To Create an enterprising environment to ensure culture, ethics and social responsibility
among the stakeholders.
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DEPARTMENT OF ELECTRONICS AND COMMUNICATION

ENGINEERING

DEPARTMENT VISION AND MISSION

Vision:

To become a recognized center in the field of Electronics and Communication Engineering by

producing creative engineers with social responsibility and address ever-changing global
challenges.

Mission:

DM1: To facilitate an academic environment that enables student’s centric learning.

DM2: To provide state-of-the-art hardware and software technologies to meet industry
requirements.
DM3: To continuously update the Academic and Research infrastructure.
DM4: To Conduct Technical Development Programs for overall professional caliber of Stake
Holders.
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PROGRAM EDUCATIONAL OBJECTIVES

Program Educational objectives are to Promote:

PEO1: Graduates with a strong foundation in Electronics and Communication Engineering,

Science and Technology to become successful in the chosen professional career.
PEO2: Graduates with ability to execute innovative ideas for Research and Development with
continuous learning.
PEO3: Graduates inculcated with industry based soft-skills to enable employability.
PEO4: Graduates demonstrate with ability to work in interdisciplinary teams and ethical
professional behavior.

PROGRAM SPECIFIC OUTCOMES

PSO 1: Design Skills: Design, analysis and development a economical system in the area of
Embedded system & VLSI design.
PSO 2: Software Usage: Ability to investigate and solve the engineering problems using
MATLAB, Keil and Xilinx.
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PROGRAM OUTCOMES

1. ENGINEERING KNOWLEDGE: Apply the knowledge of mathematics, science, engineering

fundamentals, and an engineering specialization to the solution of complex engineering problems.
2. PROBLEM ANALYSIS: Identify, formulate, research literature, and analyze complex engineering
problems reaching substantiated conclusions using first principles of mathematics, natural sciences, and
engineering sciences.
3. DESIGN/DEVELOPMENT OF SOLUTIONS: Design solutions for complex engineering
problems and design system components or processes that meet the specified needs with appropriate
consideration for the public health and safety, and the cultural, societal, and environmental
considerations.
4. CONDUCT INVESTIGATIONS OF COMPLEX PROBLEMS: Use research-based knowledge
and research methods including design of experiments, analysis and interpretation of data, and
synthesis of the information to provide valid conclusions.
5. MODERN TOOL USAGE: Create, select, and apply appropriate techniques, resources, and modern
engineering and IT tools including prediction and modelling to complex engineering activities with an
understanding of the limitations.

6. THE ENGINEER AND SOCIETY: Apply reasoning informed by the contextual knowledge to
assess societal, health, safety, legal and cultural issues and the consequent responsibilities relevant to
the professional engineering practice.
7. ENVIRONMENT AND SUSTAINABILITY: Understand the impact of the professional
engineering solutions in societal and environmental contexts, and demonstrate the knowledge of, and
need for sustainable development.
8. ETHICS: Apply ethical principles and commit to professional ethics and responsibilities and norms
of the engineering practice.
9. INDIVIDUAL AND TEAM WORK: Function effectively as an individual, and as a member or
leader in diverse teams, and in multidisciplinary settings.
10. COMMUNICATION: Communicate effectively on complex engineering activities with the
engineering community and with society at large, such as, being able to comprehend and write effective
reports and design documentation, make effective presentations, give and receive clear instructions.
11. PROJECT MANAGEMENT AND FINANCE: Demonstrate knowledge and understanding of
the engineering and management principles and apply these to one’s own work, as a member and leader
in a team, to manage projects and in multidisciplinary environments.
12. LIFE-LONG LEARNING: Recognize the need for, and have the preparation and ability to engage
in independent and life-long learning in the broadest context of technological change.
 R18 B.TECH ECE III YEAR

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY

HYDERABADB.Tech. in ELECTRONICS AND COMMUNICATION
ENGINEERING

III YEAR COURSE STRUCTURE AND SYLLABUS (R18)

Applicable From 2018-19 Admitted Batch

III YEAR I SEMESTER

Course
S. No. Course Title L T P Credits
Code
1 EC501PC Microprocessors & Microcontrollers 3 1 0 4
2 EC502PC Data Communications and Networks 3 1 0 4
3 EC503PC Control Systems 3 1 0 4
4 SM504MS Business Economics & Financial 3 0 0 3
Analysis
5 Professional Elective - I 3 0 0 3
6 EC505PC Microprocessors & Microcontrollers Lab 0 0 3 1.5
7 EC506PC Data Communications and Networks Lab 0 0 3 1.5
8 EN508HS Advanced Communication Skills Lab 0 0 2 1
9 *MC510 Intellectual Property Rights 3 0 0 0
Total Credits 18 3 8 22

III YEAR II SEMESTER

Course
S. No. Course Title L T P Credits
Code
1 EC601PC Antennas and Propagation 3 1 0 4
2 EC602PC Digital Signal Processing 3 1 0 4
3 EC603PC VLSI Design 3 1 0 4
4 Professional Elective - II 3 0 0 3
5 Open Elective - I 3 0 0 3
6 EC604PC Digital Signal Processing Lab 0 0 3 1.5
7 EC605PC e – CAD Lab 0 0 3 1.5
8 EC606PC Scripting Languages Lab 0 0 2 1
9 *MC609 Environmental Science 3 0 0 0
Total Credits 18 3 8 22

*MC - Environmental Science – Should be Registered by Lateral Entry Students Only.

Note: Industrial Oriented Mini Project/ Summer Internship is to be carried out during the summer vacation
between 6th and 7th semesters. Students should submit report of Industrial Oriented Mini Project/ Summer
Internship for evaluation.

Professional Elective – I
EC511PE Computer Organization & Operating Systems
EC512PE Error Correcting Codes
EC513PE Electronic Measurements and Instrumentation

Professional Elective – II
EC611PE Object Oriented Programming through Java
EC612PE Mobile Communications and Networks
EC613PE Embedded System Design
 R18 B.TECH ECE III YEAR

EC602PC: DIGITAL SIGNAL PROCESSING

B.Tech. III Year II Semester L T P C

3 1 0 4
Prerequisite: Signals and Systems

Course Objectives:
1. To provide background and fundamental material for the analysis and processing of digitalsignals.
2. To understand the fast computation of DFT and appreciate the FFT processing.
3. To study the designs and structures of digital (IIR and FIR) filters and analyze and synthesizefor a
given specifications.
4. To acquaint in Multi-rate signal processing techniques and finite word length effects.

Course Outcomes: Upon completing this course, the student will be able to
1. Understand the LTI system characteristics and Multirate signal processing.
2. Understand the inter-relationship between DFT and various transforms.
3. Design a digital filter for a given specification.
4. Understand the significance of various filter structures and effects of round off errors.

UNIT - I:
Introduction: Introduction to Digital Signal Processing: Discrete Time Signals & Sequences,conversion of
continuous to discrete signal, Normalized Frequency, Linear Shift Invariant Systems,Stability, and Causality,
linear differential equation to difference equation, Linear Constant CoefficientDifference Equations, Frequency
Domain Representation of Discrete Time Signals and Systems.
Multirate Digital Signal Processing: Introduction, Down Sampling, Decimation, Up sampling,Interpolation,
Sampling Rate Conversion.

UNIT - II:
Discrete Fourier series: Fourier Series, Fourier Transform, Laplace Transform and Z-Transform relation, DFS
Representation of Periodic Sequences, Properties of Discrete Fourier Series, Discrete Fourier Transforms:
Properties of DFT, Linear Convolution of Sequences using DFT, Computation of DFT: Over-Lap Add Method,
Over-Lap Save Method, Relation between DTFT, DFS, DFT and Z- Transform.
Fast Fourier Transforms: Fast Fourier Transforms (FFT) - Radix-2 Decimation-in-Time and Decimation-in-
Frequency FFT Algorithms, Inverse FFT.

UNIT - III
IIR Digital Filters: Analog filter approximations – Butterworth and Chebyshev, Design of IIR Digital Filters
from Analog Filters, Step and Impulse Invariant Techniques, Bilinear Transformation Method, Spectral
Transformations.

UNIT - IV
FIR Digital Filters: Characteristics of FIR Digital Filters, Frequency Response. Design of FIR Filters: Fourier
Method, Digital Filters using Window Techniques, Frequency Sampling Technique, Comparison of IIR & FIR
filters.

UNIT - V
Realization of Digital Filters: Applications of Z – Transforms, Solution of Difference Equations of Digital
Filters, System Function, Stability Criterion, Frequency Response of Stable Systems, Realization of Digital Filters
– Direct, Canonic, Cascade and Parallel Forms.
 R18 B.TECH ECE III YEAR

Finite Word Length Effects: Limit cycles, Overflow Oscillations, Round-off Noise in IIR Digital Filters,
Computational Output Round Off Noise, Methods to Prevent Overflow, Trade Off Between Round Off and
Overflow Noise, Measurement of Coefficient Quantization Effects through Pole-Zero Movement, Dead Band
Effects.

TEXT BOOKS:
1. Discrete Time Signal Processing – A. V. Oppenheim and R.W. Schaffer, PHI, 2009
2. Digital Signal Processing, Principles, Algorithms, and Applications: John G. Proakis, Dimitris G.
Manolakis, Pearson Education / PHI, 2007.

REFERENCES:
1. Digital Signal Processing – Fundamentals and Applications – Li Tan, Elsevier, 2008
2. Fundamentals of Digital Signal Processing using MATLAB – Robert J. Schilling, Sandra L.Harris,
Thomson, 2007
3. Digital Signal Processing – S. Salivahanan, A. Vallavaraj and C. Gnanapriya, TMH, 2009
4. Digital Signal Processing - A Practical approach, Emmanuel C. Ifeachor and Barrie W. Jervis,2nd
Edition, Pearson Education, 2009
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

COs and Mapping with PO/PSO

Course: Digital Signal Processing(C322) Class: III ECE-A

Course Outcomes
After completing this course the students will be able to:
C322. 1 Analyze the LTI system characteristics and Multirate signal processing. (Analysis)
C322. 2 Compare the inter-relationship between DFT and various transforms. (Evaluation)
C322.3 Design IIR digital filters for a given specification. (Synthesis)
C322.4 Design FIR digital filters for a given specification. (Synthesis)
C322.5 Express Z-transform analysis on signals and systems. (Comprehension)
C322.6 Interpret the significance of various filter structures and effects of round off errors.
(Applications)

Mapping of course outcomes with program outcomes:

High -3 Medium -2 Low-1

PO / CO PO P PO PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2
1 O2 3
C322. 1 3 3 1 2 2 1 - - 1 - - - 1 2

C322. 2 3 3 3 1 2 2 1 - 1 - - - 1 3

C322. 3 3 3 3 1 2 2 1 - 1 - - - 1 2

C322. 4 3 3 3 1 2 2 1 - 1 - - - 1 3

C322. 5 3 1 - 1 2 2 - - 1 - - - 1 2

C322. 6 3 1 - - 1 - - - 1 - - - 1 3

C322 3 3 3 1 1.83 2.2 1 - 1 - - - 1 2.50

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

CO- PO/PSO Mapping - Justification

Course: Digital Signal Processing(C322) Class: III ECE-A

PO1. ENGINEERING KNOWLEDGE: Apply the knowledge of mathematics, science,

engineering fundamentals, and an engineering specialization to the solution of
complex engineering problems.
PO2. PROBLEM ANALYSIS: Identify, formulate, research literature, and analyze
complex engineering problems reaching substantiated conclusions using first
principles of mathematics, natural sciences, and engineering sciences.
PO3. DESIGN/DEVELOPMENT OF SOLUTIONS: Design solutions for complex
engineering problems and design system components or processes that meet the
specified needs with appropriate considerations for the public health and safety, and
the cultural, societal, and environmental considerations.
PO4. CONDUCT INVESTIGATIONS OF COMPLEX PROBLEMS: Use research-
based knowledge and research methods including design of experiments, analysis
and interpretation of data, and synthesis of the information to provide valid
conclusions.
PO5. MODERN TOOL USAGE: Create, select, and apply appropriate techniques,
resources, and modern engineering and IT tools including prediction and modeling
to complex engineering activities with an understanding of the limitations.
PO6. THE ENGINEER AND SOCIETY: Apply reasoning informed by the contextual
knowledge to assess societal, health, safety, legal and cultural issues and the
consequent responsibilities relevant to the professional engineering practice.
PO7. ENVIRONMENT AND SUSTAINABILITY: Understand the impact of the
professional engineering solutions in societal and environmental contexts, and
demonstrate the knowledge of and need for sustainable development.
PO9. INDIVIDUAL AND TEAM WORK: Function effectively as an individual, and as
a member or leader in diverse teams, and in multidisciplinary settings.

PSO 1: Design Skills: Design, analysis and development a economical system in the area of

Embedded system & VLSI design.

PSO 2: Software Usage: Ability to investigate and solve the engineering problems using

MATLAB, Keil and Xilinx.

CO-PO mapping Justification

C322. 1 Analyze the LTI system characteristics and Multirate signal processing.
PO1 Apply the knowledge of mathematics, science and engineering fundamentals to
analyze the LTI system. (Level 3)

PO2 Analyze the problems on LTI system and Multirate Signal Processing.

PO3 Developing Solutions for LTI system Characteristics.

PO4 Analyzing and interpretation on LTI system Characteristics.

PO5 MATLAB tool used to predict and model the LTI system.

PO6 The responsibilities of LTI system towards the society

PO9 LTI signals and systems with MATLAB Tool.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB

C322. 2 Compare the inter-relationship between DFT and various transforms.

PO1 Apply the knowledge of mathematics, science and engineering fundamentals to

compare the DFT and various transforms

PO2 Analyze the problems on DFT and various transforms.

PO3 Develop a Solutions for DFT and various transforms.

PO4 Analyzing and interpretation on DFT and various transforms.

PO5 MATLAB tool used to convert DFT to IDFT and Vice versa.

PO6 DFT and IDFT are the powerful tool which enable us to find the spectrum of finite
duration signal

PO7 Human speech and hearing of signals are encoded with help of DFT, which is most
useful for society.

PO9 DFT and IDFT system can be executed with help of MATLAB Tool.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB
C322.3 Design IIR digital filters for a given specification.

PO1 Apply the knowledge of mathematics, science and engineering fundamentals to design
the IIR digital filters.

PO2 Analyze the problems on IIR digital filters.

PO3 Design and Develop a Solutions for IIR digital filters.

PO4 Analyze and interpretation on IIR digital filers.

PO5 MATLAB tool used to design the IIR digital filters.

PO6 IIR digital filter is used in Telecommunication, which is most important to the society.

PO7 Knowledge of IIR digital filter applied to environment.

PO9 IIR digital filter can be executed with help of MATLAB Tool.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB

C322.4 Design FIR digital filters for a given specification.

PO1 Apply the knowledge of mathematics, science and engineering fundamentals to design
the FIR digital filters.

PO2 Analyze the problems on FIR digital filters.

PO3 Design and Develop a Solutions for FIR digital filters.

PO4 Analyzing and interpretation on FIR digital filers.

PO5 MATLAB tool used to design the FIR digital filters.

PO6 FIR digital filter is used in Telecommunication, which is most important to the society.

PO7 Knowledge of FIR digital filter applied to environment.

PO9 FIR digital filter can be executed with help of MATLAB Tool.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB
C322.5 Express Z-transform analysis on signals and systems.

PO1 Apply the knowledge of mathematics, science and engineering fundamentals to Z

transforms analysis on signals and systems.

PO2 Problems on Z Transforms.

PO4 Interpretation on Z transform on signals and systems.

PO5 MATLAB tool used to interpret the Z transform on signals and systems.

PO6 Z transform is used in digital filter relevant to professional engineering practice.

PO9 Analysis of Z transforms on signals and systems can be done with help of MATLAB
Tool.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB

C322.6 Interpret the significance of various filter structures and effects of round off errors.

PO1 Apply the knowledge of mathematics, science and engineering fundamentals to various
filter structures.

PO2 Analyze various filter structures and effects of round off errors.

PO5 MATLAB tool used to analyze the various filter structures and effects of round off
errors.

PO9 MATLAB Tool used to analyze the various filter structures and effects of round off
errors.

PSO1 Student can design, analysis and development a system in the area of DSP

PSO2 Students can able to investigate and solve the engineering problems using MATLAB
1
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

LESSON PLAN

Programme: B.Tech Academic Year: 2022-23

Year: III Semester: II
Course Title: DIGITAL SIGNAL PROCESSING Course Code: EC602PC
Name of Faculty: Y.RAJU
Unit-I Syllabus
Introduction: Introduction to Digital Signal Processing: Discrete Time Signals & Sequences,
conversion of continuous to discrete signal, Normalized Frequency, Linear Shift Invariant
Systems, Stability, and Causality, linear differential equation to difference equation, Linear
Constant Coefficient Difference Equations, Frequency Domain Representation of Discrete Time
Signals and Systems Multirate Digital Signal Processing: Introduction, Down Sampling,
Decimation, Up sampling, Interpolation, Sampling Rate Conversion.
No. of Topics Reference Teaching
Sessions Method/
Planned Aids
Introduction to Digital Signal Processing: Discrete Time BB
3 Signals & Sequences T1, R 1,W1

conversion of continuous to discrete signal, Normalized T1, R 1, BB

2
Frequency W1
Linear Shift Invariant Systems, Stability, and Causality BB
3 T1, R 1
linear differential equation to difference equation, Linear BB
2 T1, R 2
Constant Coefficient Difference Equations
Frequency Domain Representation of Discrete Time Signals BB
2 T1, R2
and Systems
Multirate Digital Signal Processing: Introduction to BB
2 Multirate sampling R3

Down sampling and Decimation BB

2 T1, R 2
Up sampling and Interpolation BB
2 T1, R 2
Sampling Rate Conversion BB
2 T1, R 3
Gap beyond syllabus(if any):
Gap within the syllabus(if any)
Course Outcome 1: Analyze the LTI system characteristics and Multirate signal processing.

*Session Duration: 50 minutes

*Total Number of Hours/Unit: 20

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Unit-II Syllabus
Discrete Fourier series: Fourier Series, Fourier Transform, Laplace Transform and Z-Transform relation,
DFS Representation of Periodic Sequences, Properties of Discrete Fourier Series, Discrete Fourier
Transforms: Properties of DFT, Linear Convolution of Sequences using DFT, Computation of DFT: Over-Lap
Add Method, Over-Lap Save Method, Relation between DTFT, DFS, DFT and Z- Transform.
Fast Fourier Transforms: Fast Fourier Transforms (FFT) - Radix-2 Decimation-in-Time and Decimation-in-
Frequency FFT Algorithms, Inverse FFT.

No. of Topics Reference Teaching

Sessions Method/
Planned Aids
Discrete Fourier series: DFS Representation of R1 BB
1 Periodic Sequences, Properties of Discrete Fourier
Series

Discrete Fourier Transforms: Properties of DFT, Linear BB

2 Convolution of Sequences using DFT, R1,R2,W3

Computation of DFT: Over-Lap Add Method, BB

1 T1, R 1
Over-Lap Save Method, BB
1 T1, R 2
Relation between DTFT, DFS, DFT and Z- Transform. BB
2 T1, R 1
Related Problems BB
2 T1, R 2
Fast Fourier Transforms: Fast Fourier Transforms BB
2 (FFT) - Radix-2 Decimation-in-Time T1,R2

Decimation-in-Frequency FFT Algorithms, BB

2 T1, R 3
Inverse FFT.
FFT with General Radix-N BB
1 T1, R 2
Related Problems BB
1 T1, R2
Gap beyond syllabus (if any):
Gap within the syllabus (if any)
Course Outcome 1: Compare the inter-relationship between DFT and various transforms.
*Session Duration: 50 minutes

*Total Number of Hours/Unit: 15

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Unit-III Syllabus
IIR Digital Filters: Analog filter approximations – Butterworth and Chebyshev, Design of IIR Digital Filters
from Analog Filters, Step and Impulse Invariant Techniques, Bilinear Transformation Method, Spectral
Transformations.

No. of Topics Reference Teaching

Sessions Method/
Planned Aids
IIR Digital Filters: BB
2 R3
Analog filter approximations – Butterworth
Chebyshev, Design of IIR Digital Filters from Analog BB
3 R2
Filters,
2 Step and Impulse Invariant Techniques, T1, R1 BB
2 Bilinear Transformation Method, T1, R 1,W4 BB
2 Spectral Transformations. T1, R2 BB
2 Related Problems -1 T1, R1 BB
2 Related Problems -2 T1, R 3 BB
Gap beyond syllabus(if any):

Gap within the syllabus(if any)

Course Outcome 1: Design IIR digital filters for a given specification.

*Session Duration: 50minutes

*Total Number of Hours/Unit: 15

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Unit-IV Syllabus

FIR Digital Filters: Characteristics of FIR Digital Filters, Frequency Response. Design of FIR Filters:
Fourier Method, Digital Filters using Window Techniques, Frequency Sampling Technique, Comparison of IIR
& FIR filters.

No. of Topics Reference Teaching

Sessions Method/
Planned Aids
2 FIR Digital Filters: R2,W5 BB
Characteristics of FIR Digital Filters,
2 Frequency Response T1, R2 BB
2 Design of FIR Filters: Fourier Method, T1, R3 BB
2 Digital Filters using Window Techniques, R2 BB
1 Frequency Sampling Technique, R3 BB
1 Comparisonof IIR & FIR filters R3 BB
2 Related Problems -1 R4 BB
2 Related Problems -2 T1, R3 BB
1 Related Problems -3 T1, R 4 BB
Gap beyond syllabus(if any):

Gap within the syllabus(if any)

Course Outcome 1: Design FIR digital filters for a given specification.
*Session Duration: 50minutes

*Total Number of Hours/Unit: 15

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Unit-V Syllabus
Realization of Digital Filters: Applications of Z – Transforms, Solution of Difference Equations of Digital
Filters, System Function, Stability Criterion, Frequency Response of Stable Systems, Realization of Digital
Filters – Direct, Canonic, Cascade and Parallel Forms.
Finite Word Length Effects: Limit cycles, Overflow Oscillations, Round-off Noise in IIR Digital Filters,
Computational Output Round Off Noise, Methods to Prevent Overflow, Trade Off Between Round Off and
Overflow Noise, Measurement of Coefficient Quantization Effects through Pole-Zero Movement, Dead Band
Effects.

No. of Topics Reference Teaching

Sessions Method/
Planned Aids
1 Realization of Digital Filters: R3,R4 BB
Applications of Z – Transforms,
1 Solution of Difference Equations of Digital Filters, R4,R2 BB
1 System Function, Stability Criterion, R3 BB
Frequency Response of Stable Systems, Realization BB
2 of Digital Filters – Direct, Canonic, Cascade and R4,W6
Parallel Forms.
1 Finite Word Length Effects: Limit cycles, T1, R 4 BB
1 Overflow Oscillations, T1, R 2 BB
1 Round-off Noise in IIR Digital Filters, T1, R 3 BB
1 Computational Output Round Off Noise, T1, R 4 BB
1 Methods to Prevent Overflow, T1, R 4 BB
Trade Off Between Round Off and Overflow BB
1 T1, R 3
Noise,
Measurement of Coefficient Quantization Effects BB
1 T1, R 4
through Pole-Zero Movement,
1 Dead Band Effects T1, R 3 BB
1 Related Problems -1 T1, R 3 BB
1 Related Problems -2 T1, R 4 BB
Gap beyond syllabus(if any):
Gap within the syllabus(if any)
Course Outcome 1: Express Z-transform analysis on signals and systems.
Course Outcome 2: Interpret the significance of various filter structures and effects of round off
errors.
*Session Duration: 50minutes

*Total Number of Hours/Unit: 15

TEXT BOOKS:
1. Discrete Time Signal Processing – A. V. Oppenheim and R.W. Schaffer, PHI, 2009
2. Digital Signal Processing, Principles, Algorithms, and Applications: John G. Proakis, Dimitris
G. Manolakis, Pearson Education / PHI, 2007.

REFERENCES:

1. Digital Signal Processing – Fundamentals and Applications – Li Tan, Elsevier, 2008

2. Fundamentals of Digital Signal Processing using MATLAB – Robert J. Schilling, Sandra L.
Harris, Thomson, 2007
3. Digital Signal Processing – S. Salivahanan, A. Vallavaraj and C. Gnanapriya, TMH, 2009
4. Digital Signal Processing - A Practical approach, Emmanuel C. Ifeachor and Barrie W.
Jervis, 2nd Edition, Pearson Education, 2009

WEB REFERENCES:

+
S.No. Web Link

1 https://nptel.ac.in/courses/117102060/

2 https://www.elprocus.com/fir-filter-for-digital-signal-processing/

3 https://www.tutorialspoint.com/digital_signal_processing/dsp_discrete_fourier_transform_introduction.htm

4 https://www.mikroe.com/ebooks/digital-filter-design/bilinear-transformation

5 https://www.telecomtrainer.com/fir-finite-impulse-response/

6 https://www.dsprelated.com/freebooks/filters/Four_Direct_Forms.html
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Lecture notes

Unit 1 link:
https://drive.google.com/file/d/1bqqwaB6DMSwHI6Yz_vzJf0-
eDKQQAHfL/view?usp=sharing

Unit 2 link:
https://drive.google.com/file/d/1zXSHaApRX3egnrd25cx-
9OS39eOGqqAD/view?usp=sharing

Unit 3 link:
https://drive.google.com/file/d/1DE8WgmyVtLOWqY3Ya6lGJlG8s4
ZmY038/view?usp=sharing

Unit 4 link:
https://drive.google.com/file/d/1BOOk9ALJL0u67HZ3-
b9uluQeAgkDXazs/view?usp=sharing

Unit 5 link:

https://drive.google.com/file/d/1HCabbgVAdpjv4SIuo2gidZG5fdLJ
plHC/view?usp=sharing
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Power point presentation

PPT link:
https://drive.google.com/file/d/1so3BreCt4gViED68LkH2nui9UoNk
x5Yq/view?usp=sharing
Code No: 156AR R18
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
B. Tech III Year II Semester Examinations, August/September - 2021
DIGITAL SIGNAL PROCESSING
(Common to ECE, EIE)
Time: 3 Hours Max. Marks: 75
Answer any five questions
All questions carry equal marks
---

1.a) Calculate the total response of the system described by

y(n)  4y(n 1) 12y(n  2)  x(n) , y(1) =1, y(2) =2.
b) Calculate the transfer function of the system defined by y(n)  2y(n 1)  x(n) . [10+5]

2.a) Describe with mathematical equations, how sampling rate can be decreased by a factor
of D.
b) Briefly introduce the concepts of Multirate Digital Signal Processing. [10+5]

Derive the following properties of DFS.

i) Time shifting
ii) Time reversal
iii) Convolution.
b) Draw the butterfly diagram for DITFFT algorithm. [10+5]

4. Calculate the 8 point DFT of the sequence x(n)  {1, 2,3,1, 1, 2} using DIF-FFT and
DIT-FFT. [15]

5.a) Write the differences between bilinear transform and impulse invariant method.
b) Write the differences between analog and digital filters. [8+7]

6. Design butterworth high pass filter for the given specifications:

p  3dB, s  15dB, p  1000 rad / sec, s  500 rad / sec. [15]

7. Given the filter specifications as


for 0    
Hd (ei )  e  j 2
2

0    
2
using rectangular window, calculate causal impulse response coefficients. [15]

8.a) Realize the following system equation in direct form-I and direct -form II

y(n)  3 / 4y(n 1)  x(n)  2x(n 1)

b) Write the differences between direct form-I and canonical form. [10+5]

---ooOoo---
CodeNo: 156AR R18
JAWAHARLALNEHRUTECHNOLOGICALUNIVERSITY HYDERABAD
B.TechIIIYearIISemesterExaminations, February/March-2022 DIGITAL
SIGNAL PROCESSING
(CommontoECE,EIE)
Time:3Hours Max.Marks: 75
Answer any five questions
Allquestionscarryequalmarks
---

1. a) Whataretheconditions forstabilityand causalityof anLTIsystem?Explain.

b) Explainin detailthe classificationofdiscrete-time systems.
c) What is the need for multi-stage implementation of sampling rate converters? Explain
with an example. [5+5+5]

2. a) Find8-pointDFTX(K)ofthereal sequence.
(𝑛)={0.707,1,0.707,0,−0.707, −1, −0.707,0} byusingDIF radix-2 FFT
b) FindtheN-point DFT of(𝑛)=𝑏𝑛cos 𝑎𝑛usingthelinearityproperty. [8+7]

3. a) Stateandproveanytwoproperties ofDiscrete Fourier series.

b) Givenx(n) 2nand N=8, find X(k)usingDIT-FFT algorithm. [6+9]

4. a) Design a digital low pass filter using Chebyshev filter that meets the following
specifications: Passband magnitude characteristics that is constant to within 1dB for
recurrences below ω = 0.2𝜋 and stopband attenuation of atleast 15dB for frequencies
between ω = 0.3𝜋 and 𝜋. Use bilinear transformation.
b) Derivetherelationbetweendigitalandanalogfrequenciesinbilineartransformation.
[10+5]

5.a) DesignaButterworthanaloghighpass filterthatwillmeetthefollowingspecifications

i) Maximumpassbandattenuation=2dB
ii) Passbandedgefrequency=200rad/sec
iii) Minimumstopbandattenuation=20dB
iv) Stop band edgefrequency=100rad/sec.
b) Provethat foralinearphaseFIRfiltertheimpulseresponseis symmetric. [8+7]

6. a) ExplainthetypeIIfrequencysamplingmethodof designinganFIRdigital filter.

b) Design a band pass filter which approximates the ideal filter with cutoff-frequencies at
0.2rad/secand0.3rad/sec.ThefilterorderisM=7.UsetheHanningwindowfunction.
[5+10]

7 . a) ExplaincoefficientquantizationofIIR filters.
b) WhatisRound-offNoisein IIRDigitalFilters?Discussitseffectsin IIRfilters. [7+8]

8. a) DescribevariousStructuresof IIRfilterswithsuitablediagrams.
b) Explainthelimit cycleoscillationsduetoproductround-off andoverflowerrors.[10+5]

---ooOoo---
Code No: 156AR R18
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
B. Tech III Year II Semester Examinations, August - 2022
DIGITAL SIGNAL PROCESSING
(Common to ECE, EIE)
Time: 3 Hours Max.Marks:75
Answer any five questions
All questions carry equal marks
---

1.Find the impulse response ℎ[𝑛] of the system described by the difference equation8𝑦
[𝑛]+ 6𝑦[ 𝑛 – 1] = 𝑥[𝑛]
b) Discuss the sampling rate conversion by a factor I with the help of a neat block diagram.
c) Define time invariant system. Show that the interpolator is a time-variant system.
[5+5+5]

2.a) Check the following filter for time invariant, causal and linear.
(i) 𝑦(𝑛) = (𝑛 − 1)𝑥2(𝑛 + 1) (ii) 𝑦(𝑛) = 𝑛2𝑥(𝑛 − 2)
b) Explain the frequency domain representation of discrete time signals.
c) Explain the terms: i) Up – sampling ii) Down- sampling. [5+5+5]
1
3.a) Determine the Inverse Z-Transform of 𝑋(𝑍) = .
(1−𝑍−1)(1−𝑍−1)2
b) Find the linear convolution of the sequences x[n] = {1,4,0,9, -1} and h[n]= {-3, -4,0,7}.
c) Compute the DFT of the sequence x(n) = sin[nπ/4], where N=8 using DIT FFT algorithm.
[5+5+5]

4.a) Write five properties of DFS.

b) Find the Laplace transform of the following function 𝑓(𝑡) = 𝑡𝑒2𝑡𝑆𝑖𝑛(3𝑡).
c) Given x(n) = {1,2,3,4,4,3,2,1}, find X(k) using DIF FFT algorithm. [5+5+5]

5.a) Design a Chebyshev filter with a maximum passband attenuation of 2 dB; at

Ωp=20rad/sec and the stopband attenuation of 35 dB at Ωs=50 rad/sec.
b) Obtain the impulse response of digital filter to correspond to an analog filter with impulse
response ha(t) = 0.5 𝑒−2𝑡 and with a sampling rate of 1.0kHz using impulse invariant
method. [7+8]

6.a) Differentiate “maximally flat magnitude response” and “equiripple magnitude response”
filters.
1
b) Convert the analog filter to a digital filter whose system function is 𝐻(𝑆) = ,
(𝑆+2)2(𝑆+1)
Use bilinear transformation. [8+7]

7.a) What is a Kaiser window? In what way is it superior to other window functions?
b) Using a rectangular window technique, design a low pass filter with pass band gain of
unity, cut-off frequency of 1000Hz and working at a sampling frequency of 5 KHz. The
length of the impulse response should be 7. [7+8]

8.a) Using the z-transform, find the total solution to the following difference equation with
initial conditions, for discrete time 𝑛 ≥ 0.
5𝑦 [𝑛 + 2] − 3𝑦 [𝑛 + 1] + 𝑦 [n] = (0.8)𝑛𝑢 [𝑛], 𝑦 [0] = −1, 𝑦 [1] = 10
b) Determine direct form I and cascade realization of the following system: [8+7]

2 1 z  1 2z1  z2

1

H z 
1 0.5z1 1 0.9z1  0.81z2 
---ooOoo---
 Sri Indu Institute of Engineering & Technology
Sheriguda (V), Ibrahimpatnam (M), R.R.Dist-501 510
I- Mid Examinations, MAY-2023 Set – I

Year & Branch: III ECE Date: 08/05/2023(AN)

Subject: DSP (A, B&C) Max.Marks: 10 Time:60 mins
Answer any TWO Questions. All Question Carry Equal Marks 2*5=10 marks

1. Explain digital signal processing system with the help of a neat block diagram, list 5 Knowledge
the advantages, limitations and some applications of digital signal
processing.(C322.1)

2.Find the Forced Response of the system described by difference Equation, 5 Analysis

y(n)-4y(n-1)+4y(n-2)=x(n)-x(n-1)for the input x(n)=(1/2)n u(n). (C322.1)

3.Determine the Convolution sum of two sequence X(n)={3,2,1,2},h(n)={1,2,1,2}. 5 Analysis

(C322.1)

4.Find 8 –Point DFT of the given sequence x(n)= {1,1,1,1,1,1,0,0}.(C322.2) 5 Knowledge

QUESTION PAPER QUESTION PAPER

MAPPING WITH CO'S MAPPING WITH BT

C322.2
25%
C322.1 Knowled Analysis Analysis
C322.2 ge 50% Knowledge
C322.1 50%
75%
 Sri InduInstitute of Engineering & Technology
Sheriguda (V), Ibrahimpatnam (M), R.R.Dist-501 510
II- Mid Examinations, JUNE-2023 Set – II

Year & Branch: III ECE Date: 26/06/2023(AN)

Subject: DSP (A, B&C) Max.Marks: 10 Time: 60 mins
Answer any TWO Questions. All Question Carry Equal Marks 2*5=10 marks
2 5 Knowledge
1.An analog filter has a transfer function H(s)=10/s +7s+10 Design a digital filter
equivalent to their using impulse invariant method. (C322.3)

2 Design an ideal high pass filter with a frequency response 5 Analysis

Hd(ejω)= 1, for –π/4≤|ω|≤ π

0,for |ω|≤ π/4

Find the values of h(n)for N=11.Find H(z) and plot the magnitude response.
(C322.4)

3. Determine the impulse response of the described by the difference equation, 5 Analysis
y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)using z-transform. (C322.5)

4. Discuss about finite word length effects on Implementation of IIR filters. 5 Comprehension
(C322.6)

QUESTION PAPER QUESTION PAPER

MAPPING WITH CO'S MAPPING WITH BT

Compreh Knowled Knowledge

C322.6 C322.3 C322.3 ension ge
25% 25%
C322.4 25% 25%
Analysis
C322.5
C322.5 C322.4
C322.6 Analysis
25% 25% Comprehension
50%
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
DEPARTMENT OF ECE
B.Tech III Year II Sem I Mid –Term Examination, May 2023
DIGITAL SIGNAL PROCESSING
(Objective Exam)
DATE: 08/05/2023 (AN) TIME: 20 Min MAX.MARKS: 10

NAME...................................................... ROLL NO...............................................................

____________________________________________________________________________________

I. Choose the Correct Answers

1. If a signal satisfies x (N+n) = x (n) for all n, then the signal is [ ]
a) periodic b) non-periodic c) Symmetric d)Asymmetric

2. For a causal LTI system to be stable, all the poles of H(Z) must lie …… in the Z-plane. [ ]
a) Inside the unit circle b) outside the unit circle c) either a or b d) None of the above

3. Zero state response is also known as [ ]

a) Free response b) Forced Response c) Natural Response d) None of these
4. Zero input response is also known as [ ]
a) Free response b) Forced Response c) Natural Response d) None of these
5. FFT may be used to calculate [ ]
a) DFT& IDFT b) Direct Z transform c)In Direct Z transform d)None of these

6.The number of complex additions of direct DFT is [ ]

a)N (b) N (N-1) (c) N (N+1) (d) N2

7. The system described by the input-output equations y (n) =x2(n) [ ]
a)Causal b)linear c)Non-linear d)All Of These
8. If the system has bounded output for bounded input, it is called as [ ]
a) Causal b) linear c) Non-linear d) Stable
9. DTFT is the representation of [ ]

a. Periodic Discrete time signals b. Aperiodic Discrete time signals

c. Aperiodic continuous signals d. Periodic continuous signals

10. The total solution of difference equation [ ]

a)yp(n)-yh(n) b)yp(n)+yh(n) c)yp(n)=yh(n) d) None of the above
II. Fill in The Blanks:

11. If the response of the system depends on the past or future samples then the system is called
………….....................................

12. The DFT supports only ……………………............ convolution.

13. DFT{ x(n)} =X(K)=.....……………………...............

14. Bit reversal is required for …………………........ algorithm.

15. Twiddle factor WN= ………………………........

16. What is the relationship between DFT and Z-transform………………………………

17. Compute the 2- point DFT of given sequence x(n)= {1,0}, X(K)=…………………………….

18. The linear time invariant system is said to be stable if its impulse response is…………………………

19. Linear convolution of two sequences of length L and N produces an output sequence of
length …………………………………………….

20. State the Convolution Property of DFT ……………………………………………….

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
DEPARTMENT OF ECE
B.Tech III Year II Sem II Mid –Term Examination, JUNE-2023
DIGITAL SIGNAL PROCESSING
(Objective Exam)
DATE: 26/06/2023 (AN) TIME: 20 Min MAX.MARKS: 10

NAME :_______________________________ ROLL NO:_______________________________

I. Choose The Correct Answers

1 What is the value of gain at the pass band frequency, i.e., what is the value of KP? [ ]
a)-10 log[1−(ΩP/ΩC)2N] b)-10 log[1+(ΩP/ΩC)2N]
c)10 log[1−(ΩP/ΩC)2N] d) 10 log[1+(ΩP/ΩC)2N]

2 Which of the following equation is True? [ ]

a) [ΩP/ΩC]2N=10−KP/10+1 b) [ΩP/ΩC] =10
2N KP/10
+1
c) [ΩP/ΩC]2N=10−KP/10-1 d) None of the mentioned

3 What is the order N of the low pass Butterworth filter in terms of KP and KS? [ ]
a) [log((10KP/10−1)/(10Ks/10−1))] /2log(ΩP/ΩS)
b) [log((10KP/10+1)/(10Ks/10+1))] /2log(ΩP/ΩS)
c) [log((10−KP/10+1)/(10−Ks/10+1)]/2log(ΩP/ΩS)
d) [log((10−KP/10−1)/(10−Ks/10−1))]/2log(ΩP/ΩS)
4 What is the lowest order of the Butterworth filter with a pass band gain KP=-1 dB at [ ]
ΩP=4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS = 8 rad/sec?
a)4 b)5 c)6 d) 3
5 What is the value of chebyshev polynomial of degree 0? [ ]
a) 1 b) 0 c) -1 d) 2
6 Which of the following substitution is done in Bilinear transformations? [ ]
a)s= 1/2T[1+z−1/1−z-1] b)s= 2/T[1+z−1/1+z-1] c) s= 2/T[1−z−1/1+z−1]
d) None of the mentioned
7 In FIR Filter design, which among the following parameters is/are separately [ ]
controlled by using Kaiser window
a) order of filter(M) b) Transition width of main lobe
c) both a &b d) None of the above
8 For a linear phase filter, if Z1 is zero then what would be the value of Z1-1 OR 1/Z1 [ ]
a) Zero b) unity c) infinity d) unpredictable
9 In barlett window, the triangular function resembles the tapering of rectangular [ ]
window sequence from the middle to the ends
a) linearly b) elliptically
c) hyperbolically d) parabolically

10 In linear phase realization, equal valued coefficients are taken continuous are taken [ ]
common for reducing the requisite number of
a) adders (b) subtractors (c) multipliers (d) dividers
II. Fill in The Blanks:

1. FIR Stands
2. IIR Stands______________________________________
3. Chebyshev polynomials of odd orders are
4. If the factor of the form (s-a) in H(s) is mapped into 1-(eaTz-1 )in the z-domain, the that
kind of transformation is called as _
5. ROC does not have_____________________
6. Magnitude Response of Butterworth filter has__________________________
7.__________________are the values of z for which the value of X(z)=∞
8. If all the poles of H(z) are outside the unit circle, then the system is said to be

9. If M and N are the orders of numerator and denominator of rational system function
respectively, then______________________ Number of multiplications are required in
direct form-I realization of that IIR filter.
10. In the practical A/D converters, if the differences between transition values are not all
equal or uniformly changing, then such error is known as___________________
 Sri Indu Institute of Engineering & Technology
Sheriguda (V), Ibrahimpatnam (M), R.R.Dist-501 510
B-Tech I - Mid Examinations, MAY-2023
Year &Branch: III –ECE-A, B&C Date: 08/05/2023(AN)
Subject: DSP
ANSWER KEY
Descriptive paper key link:

https://drive.google.com/file/d/1fK3hd79073-alzePiXwUF4YEoe_-c7xf/view?usp=sharing

Objective Key Paper

I. Choose the correct alternative:

1. a) periodic

2. c) either a or b
3. b) Forced Response
4. c) Natural Response
5. a) DFT& IDFT
6. d) N2
7. c) Non-linear

8. d) Stable
9. a) Periodic Discrete time signals
10. b) yp(n)+yh(n)

Fill in the blanks:

1. Non causal

2. Linear and Circular

3. ∑ x(n) e−j2πkn/N

4. FFT

5. Exp (-j2pi/N)

6. R = 1

7. (1,1)

8. Less than infinity

9. L+N-1

10. X(ω)Y(ω)
 Sri Indu Institute of Engineering & Technology
Sheriguda (V), Ibrahimpatnam (M), R.R.Dist-501 510
B-Tech II - Mid Examinations, JUNE-2023
Year &Branch: III –ECE-A, B&C Date: 26/06/2023(AN)
Subject: DSP
ANSWER KEY
Descriptive paper key link:

https://drive.google.com/file/d/1FOEl3Lk0qwrpFwT6l3R8aDkL3RV7Wbjp/view?usp=shar
ing

Objective/Quiz Key Paper

I. Choose the correct alternative:

1. b)-10 log[1+(ΩP/ΩC)2N]

2. c) [ΩP/ΩC]2N=10−KP/10-1

3. d) [log((10−KP/10−1)/(10−Ks/10−1))]/2log(ΩP/ΩS)

4. b)5

5. a) 1

6. c) s= 2/T[1−z−1/1+z−1]

7. c) both a &b

8. a) Zero

9. a) linearly

10. c) multipliers

Fill in the blanks:

1. Finite Impulse response

2. Infinite Impulse response
3. Odd functions
4. Matched Z-transform
5. Poles
6. Flat stop band and Flat pass band
7. Poles
8. Neither causal or BIBO stable

9. M+N+1
10. Linearity Error.
SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

ASSIGNMENT- 1 SUBJECT: DSP

1. Determine the 8- Point DFT of the sequence x (n) = { 1, 1, 1, 1, 1, 1, 0, 0}.(C322. 2)

(Analysis)

2. Find DFT of the given sequence x (n) = { 1, 2, 3, 4, 4, 3, 2, 1 } using DIT algorithm.

(C322. 2) (Knowledge)

3. Find 8-point IDFT of the given sequence X (K) = { 5,0, 1-j, 0, 1, 0, 1+j, 0}. (C322. 2)
(Knowledge)

4. Determine the convolution sum of two sequence x(n) = {3, 2, 1, 2 }, h(n) = { 1,2,1,2 }.
(C322. 1) (Analysis)

5. Find the Total Response of the system described by difference equation.the input

y (n) – 4y (n-1) + 4 y(n-2) = x (n) - x(n-1) for input x(n) = (1/2)n u(n) with initial
conditions у(-1) = y(-2) = 1. (C322. 1) (Analysis)

6. Define linear and Non linear systems and test the system y (n) = a x(n) + b x (n-1).

(C322. 1) (Knowledge)
SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

ASSIGNMENT- 2 SUBJECT: DSP

1. Apply Bilinear transformation to H(S)=2/(S+1)(5+2) with T=1sec and find H(Z).

(C322.3) (Application)

2. Design an ideal low pass filter with a frequency response.

Hd (ejw) = 1, for - ≤w≤

= 0, for ≤w≤

Find the values of h(n) for N=11. find H(Z) and plot the magnitude response.(C322.4)
(Analysis)

3. H(S) = 10/S2+7S+10 Design a digital fitter using impulse invariant method (T=1 sec).
(C322.3) (Analysis)

4. H(S) = (S+ 0.2) /(s+0.2)² +9 Design a digital filter using impulse invariant method.
(T=1 sec). (C322.3) (Analysis)

5. A digital filter has following frequency specification.

Passband frequency Wp = 0.2π

Stopband frequency Ws = 0.3π

find analog specifications Ωp and Ωs using i) Impulse invariant method (ii) Bilinear
method. (C322.3) (Knowledge)

6. Design an ideal low pass filter with a frequency response.

Hd (ejw) = 1, for - /4 ≤ w ≤

= 0, for │w│≤ /4

Find the values of h(n) for N=11.find H(Z) and plot the magnitude response. (C322.4)
(Analysis)
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

TUTORIAL TOPICS SUBJECT:DSP

Number
of Teaching
S.NO Unit TOPIC
Sessions method/Aids
Planned
1. Find the linear convolution of two sequences x(n)={1,2,3,4} & 1 BB
h(n)={3,4,5,6}

2. Determine whether the following system are linear, time-invariant 1 BB

1 y(n)=A x(n) + B

3. Find the IDFT of Y (k) = {1, 0, 1, 0} 1 BB

4. Determine the Discrete Fourier transform x (n) = {1, 1, 1, 1} 1 BB

2

5 3 Apply Bilinear transformation to H(S)= 2/(S2+3S+2) with T=1 sec 1 BB

and find H(Z).
6 H(S)= 10/(S2+7S+10) Design a digital filter using impulse invariant 1 BB
method.
7 4 Design an ideal lowpass filter with a frequency response 1 BB
Hd(ejω)= 1, for –π/2≤|ω|≤ π/2
= 0,for π/2≤ |ω|≤ π
Find the values of h(n)for N=11.Find H(z) and plot the magnitude
response.
8 Design an ideal high pass filter with a frequency response 1 BB
Hd(ejω)= 1, for –π/4≤|ω|≤ π
 = 0,for |ω|≤ π/4
Find the values of h(n)for N=11.Find H(z) and plot the magnitude
response.
9 Determine the impulse response of the described by the difference 1 BB
equation, y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)using z-transform.
10 Discuss about finite word length effects on Implementation of FIR 1 BB
5
filters.
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

Course Title DIGITAL SIGNAL PROCESSING

Course Code EC602PC
Programme B.Tech
Year & Semester III year II-semester, A sec
Regulation R18
Course Faculty Y.RAJU, Assistant Professor, ECE

Slow learners:

S No Roll no No of backlogs Internal-I Status Internal-II Status

1 20X31A0402 3 19
23
2 20X31A0403 8 14 14

3 20X31A0406 4 20 17

4 20X31A0408 4 19 17

5 20X31A0410 5 15 14
6 20X31A0411 3 18 20

7 20X31A0412 5 20 14

8 20X31A0416 4 21 20

9 20X31A0418 8 14 15
10 20X31A0420 4 19 17
11 20X31A0423 5 20 19

12 20X31A0424 3 21 18

13 20X31A0427 3 22 19
14 20X31A0431 5 17 19

15 20X31A0435 5 17 16

16 20X31A0436 5 19 17

17 20X31A0440 3 22 19

18 20X31A0450 5 21 19

19 20X31A0454 5 14 14
 20 20X31A0455 6 21 19

22 20X31A0456 6 21 19

23 20X31A0458 3 23 22

Advanced learners:

S.NO ROLL.NO. Assigned work

1 20X31A0404
2 20X31A0407
3 20X31A0409
4 20X31A0414
5 20X31A0415
6 20X31A0417
7 20X31A0421
8 20X31A0422
9 20X31A0425
10 20X31A0428
11 20X31A0429 Advanced Concepts material
is provided for advanced
12 20X31A0432
learners, Subject seminars are
13 20X31A0434 presented by advanced
learners in the class., and
14 20X31A0437 Advanced learners are
encouraged to support slow
15 20X31A0438
learners.
16 20X31A0439
17 20X31A0442
18 20X31A0444
19 20X31A0446
20 20X31A0447
21 20X31A0449
22 20X31A0451
23 20X31A0452
24 20X31A0459
25 20X31A0460
SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

BATCH ECE-III BTECH II SEM ECE-A RESULT ANALYSIS

NUMBER OF QUESTION PAPER

STUDENTS SETTING
ACADAMIC COURSE
YEAR NAME PASS%
APPEARED PASSED INTERNAL EXTERNAL
DIGITAL SIGNAL COURSE
2022-23 57 32 FACULTY
JNTUH 56.14
PROCESSING

DIGITAL SIGNAL PROCESSING (C322) RESULT ANALYSIS

60

50

40

APPEARED
30
PASSED

20

10

0
2022-23
Scanned by CamScanner
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Department of Electronics and Communication Engineering

Course Outcome Attainment (Internal Examination-1)

Name of the faculty : Y RAJU Academic Year: 2022-23
Branch & Section: ECE - A Examination: I Internal
Course Name: DIGITAL SIGNAL PROCESSING Year: III Semester: II

S.No HT No. Q1a Q1b Q2a Q2b Q3a Q3b Q4a Q4b Obj1 A1
Max. Marks ==> 5 5 5 5 10 5
1 20X31A0401 3 8 5
2 20X31A0402 5 5 8 5
3 20X31A0403 4 5 5
4 20X31A0404 5 2 9 5
5 20X31A0405 5 2 9 5
6 20X31A0406 4 3 8 5
7 20X31A0407 4 2 8 5
8 20X31A0408 2 5 7 5
9 20X31A0409 5 5 9 5
10 20X31A0410 5 5 5
11 20X31A0411 1 3 9 5
12 20X31A0412 2 4 9 5
13 20X31A0413 4 1 9 5
14 20X31A0414 4 3 9 5
15 20X31A0415 5 4 9 5
16 20X31A0416 5 2 9 5
17 20X31A0417 5 5 9 5
18 20X31A0418 5 4 5
19 20X31A0419 3 2 9 5
20 20X31A0420 3 2 9 5
21 20X31A0421 5 3 9 5
22 20X31A0422 5 5 9 5
23 20X31A0423 2 4 9 5
24 20X31A0424 2 5 9 5
25 20X31A0425 2 5 9 5
26 20X31A0426 5 3 9 5
27 20X31A0427 5 3 9 5
28 20X31A0428 3 5 9 5
29 20X31A0429 5 2 9 5
30 20X31A0430 5 3 9 5
31 20X31A0431 3 9 5
32 20X31A0432 1 4 9 5
33 20X31A0433 1 2 9 5
34 20X31A0434 1 4 9 5
35 20X31A0435 1 2 9 5
36 20X31A0436 1 5 8 5
37 20X31A0437 4 5 9 5
38 20X31A0438 5 5 9 5
39 20X31A0439 5 3 9 5
40 20X31A0440 5 3 9 5
41 20X31A0441 5 3 9 5
42 20X31A0442 5 4 9 5
43 20X31A0444 5 4 9 5
44 20X31A0445 5 2 9 5
45 20X31A0446 5 5 9 5
46 20X31A0447 5 5 9 5
47 20X31A0448 5 5 9 5
48 20X31A0449 5 5 9 5
49 20X31A0450 5 2 9 5
50 20X31A0451 5 5 9 5
51 20X31A0452 5 5 9 5
52 20X31A0453 3 5 9 5
53 20X31A0454 5 4 5
54 20X31A0455 3 5 8 5
55 20X31A0456 3 5 8 5
56 20X31A0458 4 5 9 5
57 20X31A0459 5 5 9 5
58 20X31A0460 4 5 9 5
59 20X31A0461 4 5 9 5
60 20X31A0462 4 5 9 5

Target set by the faculty 3.00 0.00 3.00 0.00 3.00 0.00 3.00 0.00 6.00 3.00
/ HoD
Number of students
performed above the 1 0 23 0 48 0 19 0 56 60
target

Number of students 4 0 29 0 51 0 30 0 60 60
attempted

Percentage of students 25% 79% 94% 63% 93% 100%

scored more than target

CO Mapping with Exam Questions:

CO - 1 y y y y y
CO - 2 y y y
CO - 3 y y
CO - 4
CO - 5
CO - 6

% Students Scored
>Target % 25% 79% 94% 63% 93% 100%
CO Attainment based on Exam Questions:
CO - 1 25% 79% 94% 93% 100%
CO - 2 63% 93% 100%
CO - 3 93% 100%
CO - 4
CO - 5
CO - 6

CO Subj obj Asgn Overall Level Attainment Level

CO-1 66% 93% 100% 86% 3.00 1 40%
CO-2 63% 93% 100% 86% 3.00 2 50%
CO-3 93% 100% 97% 3.00 3 60%
CO-4
CO-5
CO-6
Attainment (Internal 1 Examination) = 3.00
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Department of Electronics and Communication Engineering
Course Outcome Attainment (Internal Examination-2)

Name of the faculty : Y RAJU Academic Year: 2022-23

Branch & Section: ECE - A Examination: II Internal
Course Name: DIGITAL SIGNAL PROCESSING Year: III Semester: II

S.No HT No. Q1a Q1b Q2a Q2b Q3a Q3b Q4a Q4b Obj2 A2
Max. Marks ==> 5 5 5 5 10 5
1 20X31A0401 4 7 5
2 20X31A0402 5 9 5
3 20X31A0403 4 5 5
4 20X31A0404 5 9 5
5 20X31A0405 5 3 9 5
6 20X31A0406 5 7 5
7 20X31A0407 2 2 8 5
8 20X31A0408 3 2 7 5
9 20X31A0409 5 5 10 5
10 20X31A0410 4 5 5
11 20X31A0411 5 10 5
12 20X31A0412 2 7 5
13 20X31A0413 5 8 5
14 20X31A0414 4 5 9 5
15 20X31A0415 5 5 10 5
16 20X31A0416 5 2 8 5
17 20X31A0417 4 4 9 5
18 20X31A0418 5 5 5
19 20X31A0419 3 2 7 5
20 20X31A0420 5 7 5
21 20X31A0421 5 8 5
22 20X31A0422 5 4 9 5
23 20X31A0423 5 2 7 5
24 20X31A0424 5 8 5
25 20X31A0425 5 7 5
26 20X31A0426 5 10 5
27 20X31A0427 5 2 7 5
28 20X31A0428 5 8 5
29 20X31A0429 5 1 7 5
30 20X31A0430 5 3 10 5
31 20X31A0431 5 1 8 5
32 20X31A0432 5 4 10 5
33 20X31A0433 4 5 5
34 20X31A0434 5 4 9 5
35 20X31A0435 4 7 5
36 20X31A0436 4 1 7 5
37 20X31A0437 5 2 8 5
38 20X31A0438 5 5 10 5
39 20X31A0439 5 9 5
40 20X31A0440 5 9 5
41 20X31A0441 5 4 8 5
42 20X31A0442 5 5 10 5
43 20X31A0444 5 5 10 5
44 20X31A0445 5 4 7 5
 45 20X31A0446 5 5 9 5
46 20X31A0447 5 5 9 5
47 20X31A0448 3 5 7 5
48 20X31A0449 5 5 10 5
49 20X31A0450 5 2 7 5
50 20X31A0451 5 5 10 5
51 20X31A0452 5 5 10 5
52 20X31A0453 5 3 8 5
53 20X31A0454 4 5 5
54 20X31A0455 3 4 7 5
55 20X31A0456 5 2 7 5
56 20X31A0458 5 4 8 5
57 20X31A0459 5 5 10 5
58 20X31A0460 4 4 7 5
59 20X31A0461 5 5 9 5
60 20X31A0462 5 3 7 5

3.00 0.00 3.00 0.00 3.00 0.00 3.00 0.00 6.00 3.00
Target set by the faculty
/ HoD

Number of students
55 0 29 0 1 0 0 0 55 60
performed above the
target

Number of students 56 0 39 0 4 0 0 0 60 60
attempted

Percentage of students 98% 74% 25% 92% 100%

scored more than target

CO Mapping with Exam Questions:

CO - 1
CO - 2
CO - 3 y y y

CO - 4 y y y

CO - 5 y y y

CO - 6 y y y

CO Attainment based on Exam Questions:

CO - 1
CO - 2
CO - 3 98% 92% 100%
CO - 4 74% 92% 100%
CO - 5 25% 92% 100%
CO - 6 92% 100%
CO Subj obj Asgn Overall Level Attainment Level
CO-1 1 40%
CO-2 2 50%
CO-3 98% 92% 100% 97% 3.00 3 60%
CO-4 74% 92% 100% 89% 3.00
CO-5 25% 92% 100% 72% 3.00
CO-6 92% 100% 96% 3.00
Attainment (Internal Examination-2) = 3.00
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Department of Electronics and Communication Engineering
Course Outcome Attainment (University Examinations)
Name of the faculty : Y RAJU Academic Year: 2022-23
Branch & Section: ECE - A Year / Semester: III / II
Course Name: DIGITAL SIGNAL PROCESSING
S.No Roll Number Marks Secured S.No Roll Number Marks Secured
1 20X31A0401 8 #REF! 36 20X31A0436 10
2 20X31A0402 10 #REF! 37 20X31A0437 36
3 20X31A0403 #REF! 38 20X31A0438 44
4 20X31A0404 32 #REF! 39 20X31A0439 33
5 20X31A0405 14 #REF! 40 20X31A0440 33
6 20X31A0406 0 #REF! 41 20X31A0441 33
7 20X31A0407 6 #REF! 42 20X31A0442 33
8 20X31A0408 14 #REF! 43 20X31A0444 30
9 20X31A0409 32 #REF! 44 20X31A0445 9
10 20X31A0410 4 #REF! 45 20X31A0446 27
11 20X31A0411 7 #REF! 46 20X31A0447 46
12 20X31A0412 0 #REF! 47 20X31A0448 26
13 20X31A0413 4 #REF! 48 20X31A0449 48
14 20X31A0414 12 #REF! 49 20X31A0450 5
15 20X31A0415 26 #REF! 50 20X31A0451 29
16 20X31A0416 11 #REF! 51 20X31A0452 32
17 20X31A0417 17 #REF! 52 20X31A0453 26
18 20X31A0418 #REF! 53 20X31A0454
19 20X31A0419 7 #REF! 54 20X31A0455 39
20 20X31A0420 7 #REF! 55 20X31A0456 26
21 20X31A0421 26 #REF! 56 20X31A0458 47
22 20X31A0422 30 #REF! 57 20X31A0459 54
23 20X31A0423 0 #REF! 58 20X31A0460 36
24 20X31A0424 5 #REF! 59 20X31A0461 30
25 20X31A0425 26 #REF! 60 20X31A0462 30
26 20X31A0426 35 #REF!
27 20X31A0427 7 #REF!
28 20X31A0428 10 #REF!
29 20X31A0429 17 #REF!
30 20X31A0430 16 #REF!
31 20X31A0431 26 #REF!
32 20X31A0432 30 #REF!
33 20X31A0433 32 #REF!
34 20X31A0434 43 #REF!
35 20X31A0435 16 #REF!
Max Marks 75
Class Average mark 26 Attainment Level % students
Number of students performed above the target 32 1 40%
Number of successful students 57 2 50%
Percentage of students scored more than target 56% 3 60%
Attainment level 2
 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Department of Electronics and Communication Engineering
Course Outcome Attainment

Name of the faculty :Y RAJU Academic Year: 2022-23

Branch & Section: ECE - A
Course Name: DIGITAL SIGNAL PROCESSING Year: III
Semester: II
1st
Course Outcomes Internal Internal
Exam 2nd Internal Exam Exam University Exam Attainment Level

CO1 3.00 3.00 2.00

2.25
CO2 3.00 3.00 2.00
2.25

CO3 3.00 3.00 3.00 2.00

2.25
CO4 3.00 3.00 2.00
2.25
CO5 3.00 3.00 2.00
2.25
CO6 3.00 3.00 2.00
2.25
Internal & University Attainment: 3.00 2.00

Weightage 25% 75%

CO Attainment for the course (Internal, University) 0.75 1.50

CO Attainment for the course (Direct Method) 2.25

Overall course attainment level 2.25

 SRI INDU INSTITUTE OF ENGINEERING & TECHNOLOGY
Department of Electronics and Communication Engineering
Program Outcome Attainment (from Course)

Name of Faculty: Y RAJU Academic Year: 2022-23

Branch & Section: ECE - A Year: III
Course Name: DIGITAL SIGNAL PROCESSING Semester: II

CO-PO mapping
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2
CO1 3 3 1 2 2 1 - - 1 - - - 1 2
CO2 3 3 3 1 2 2 1 - 1 - - - 1 3
CO3 3 3 3 1 2 2 1 - 1 - - - 1 2
CO4 3 3 3 1 2 2 1 - 1 - - - 1 3
CO5 3 1 - 1 2 2 - - 1 - - - 1 2
CO6 3 1 - - 1 - - - 1 - - - 1 3
Course 3.00 3.00 3.00 1.00 1.83 2.20 1.00 - 1.00 - - - 1.00 2.50

CO Course Outcome Attainment

2.25
CO1
2.25
CO2
2.25
CO3
2.25
CO4
2.25
CO5
2.25
CO6
Overall course attainment level 2.25

PO-ATTAINMENT
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2
CO
Attainme
nt 2.25 2.25 2.25 0.75 1.37 1.65 0.75 - 0.75 - - - - -

CO contribution to PO - 33%, 67%, 100% (Level 1/2/3)

 SRI INDU INSTITUTE OF ENGINEERING AND TECHNOLOGY
Accredited by NAAC with A+ Grade, Recognized under 2(f) of UGC Act 1956
(Approved by AICTE, New Delhi and Affiliated to JNTUH, Hyderabad)
Khalsa Ibrahimpatnam, Sheriguda (V), Ibrahimpatnam (M), Ranga Reddy Dist., Telangana – 501 510
Website: https://siiet.ac.in/

ASSIGNMENTS AND REGISTERS

Assignment 1 script link:

https://drive.google.com/file/d/1K-
ipZ1bqn1qkpe0a_UK9Wceysq4jPhSa/view?usp=sharing

Assignment 2 script link:

https://drive.google.com/file/d/1A7fkijfgjsTHvikqff7Tlhmf4rzmeODU/view?u
sp=sharing

Attendance register link:

https://drive.google.com/file/d/1INDqV75RSvPZ6AoXmiHVaxixTor
gj5BP/view?usp=sharing