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P. R. Pote (Patil) College of Engineering and Management, Amravati. Department of Electrical Engineering

This document provides instructions and questions for an exam on digital signal processing (DSP). Students must solve one question from part 1 and one from part 2. Part 1 includes questions on the discrete-time Fourier transform (DTFT) properties and deriving a 4-point discrete Fourier transform (DFT). Part 2 includes questions on circular convolution, designing a radix-2 decimation-in-time fast Fourier transform algorithm, direct form realizations of infinite impulse response (IIR) filters, designing an IIR filter, cascade and parallel realizations of IIR filters. The exam is 3 hours long and covers various topics in DSP.

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Aman Deole
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308 views1 page

P. R. Pote (Patil) College of Engineering and Management, Amravati. Department of Electrical Engineering

This document provides instructions and questions for an exam on digital signal processing (DSP). Students must solve one question from part 1 and one from part 2. Part 1 includes questions on the discrete-time Fourier transform (DTFT) properties and deriving a 4-point discrete Fourier transform (DFT). Part 2 includes questions on circular convolution, designing a radix-2 decimation-in-time fast Fourier transform algorithm, direct form realizations of infinite impulse response (IIR) filters, designing an IIR filter, cascade and parallel realizations of IIR filters. The exam is 3 hours long and covers various topics in DSP.

Uploaded by

Aman Deole
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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P. R. Pote (Patil) College of Engineering and Management, Amravati.

Department of Electrical Engineering


Final Year (VIIIth SEM) Second Unit Test Sub: DSP
(8EP03)
Max. Marks: - 30 SHIFT-I Max. Time: - 3 hr.

Note: Solve Q1. OR Q2 And Q3. OR Q4.


Instruction to Candidate:
1) Assume Suitable Data Whenever Necessary.
2) Illustrate your answer whenever necessary with the help of neat sketch.
3) Use pen of Blue/Black ink/Refill only for writing the answer book.

Q1.a]State and explain following properties of DTFT (8M)


i) Time shifting ii) Convolution iii) Time Reversal iv) Linearity
b] Derive4 point DFT of signal x (n) = cosn (7M)
OR

Q2.a] Determine circular convolution of the sequences x1 (n) = [2, 3, 1, 1] h (n) = [1, 3, 5,3] (7M)

b]Design Radix 2 DITFFT Algorithm (8M)


Q3.a] Explain Direct Form 1 and direct form 2 for realization of IIR filters (7M)
b] Design a filter with Hd(ejw)= e-j3w , -π/4 ≤ w ≤ π/4
=0 , π/4 ≤ w ≤ π
Using rectangular window with N=7 (8M)
OR

Q4. a]Construct Cascade realization for IIR Filter. (7M)


H(z)=

b]Construct the parallel form realization for the


y(n)= -0.1 y(n-1)+ 0.72 y(n-2) + 0.7 x(n)– 0.25 x(n-2) (8M)

*** Best of Luck**

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