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DSP Syllabus

This document outlines the syllabus for a digital signal processing course. The syllabus covers 5 units: [1] Introduction to digital signals and systems; [2] Discrete Fourier series and fast Fourier transforms; [3] IIR digital filters; [4] FIR digital filters; and [5] Realization of digital filters. Some of the main topics included are discrete time signals, sampling, filtering techniques, Fourier analysis, filter design methods, and implementations. Mastering the concepts in this syllabus will provide students with a solid foundation in digital signal processing theory, algorithms, and applications.

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56 views3 pages

DSP Syllabus

This document outlines the syllabus for a digital signal processing course. The syllabus covers 5 units: [1] Introduction to digital signals and systems; [2] Discrete Fourier series and fast Fourier transforms; [3] IIR digital filters; [4] FIR digital filters; and [5] Realization of digital filters. Some of the main topics included are discrete time signals, sampling, filtering techniques, Fourier analysis, filter design methods, and implementations. Mastering the concepts in this syllabus will provide students with a solid foundation in digital signal processing theory, algorithms, and applications.

Uploaded by

Marupaka
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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DSP SYLLABUS

UNIT I: Introduction to Digital Signal Processing

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

Down Sampling

Decimation

Up Sampling

Interpolation

Sampling Rate Conversion

UNIT II: Discrete Fourier Series and Fast Fourier Transforms

Discrete Fourier Series (DFS)

Fourier Series

Fourier Transform

Laplace Transform and Z-Transform Relation

DFS Representation of Periodic Sequences

Properties of Discrete Fourier Series

Discrete Fourier Transforms (DFT)

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 (FFT)

Radix-2 Decimation-in-Time FFT Algorithms

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 Form

Canonic Form

Cascade Form

Parallel Form

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

Each of these topics covers various aspects of digital signal processing, including theory, algorithms, and
practical implementations. Studying these topics will provide you with a comprehensive understanding
of digital signal processing.

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