Download AKTU B-Tech 5th Sem 2018-2019 REC 503 Digital Signal Processing Question Paper

SECTION A

1. Attempt all questions in brief. 2 x 7 = 14

1. a) What is the main disadvantage of direct form realization?
2. b) What is the wraping effect?

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3. c) Compare FIR and IIR filter?
4. d) What are the advantages of Kaiser window?
5. e) What is window and why it is necessary?
6. f) What is down sampling and up sampling?
7. g) Define decimation?

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SECTION B

2. Attempt any three of the following: 7 x 3 = 21

1. a) Obtain the Cascade form realization: y(n) = y(n-1)-1/2y(n-2)+1/4y(n-2) + x(n)-x(n-1)+x(n-2)
2. b) Find the order and cut off frequency of a digital filter with the following specification: 0.89 <= | H (e^j? )| <= 1 0 <= ? <= 0.4p |H (e^j? )| <= 0.18 0.6p <= ? <= p use the impulse invariance method?
3. c) The desired response low-pass filter is H_d(e^j?) = e^-3j? , -3p/4 <= ? <= 3p/4. Determine H(e^j?) for M=7 using a hamming window.
4. d) Discuss about Quadrature mirror filters in detail?

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5. e) Find the 8 point DFT of the sequence x(n)={1,0,0,0,0,0,0,0} using DIT FFT?

SECTION C

3. Attempt any one part of the following. 7 x 1 = 7

1. a) Obtain the parallel form realization: H(z) = (1+1/2z^-1) / ((1-z^-1+1/4z^-2)(1-z^-1+1/2z^-2))
2. b) Obtain the Direct form I and II form realization H(z) = (1+z^-1)(1+2z^-1) / ((1+1/2z^-1)(1-1/4z^-1)(1+1/8z^-1))

4. Attempt any one part of the following: 7 x 1 = 7

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1. FirstRanker.com a) Using bilinear transformation, design a Butterworth filter which satisfies the following condition: 0.8 <= |H(e^j?)| <= 1, 0 <= ? <= 0.2p |H(e^j?)| <= 0.2, 0.6p <= ? <= p
2. b) What is the difference between Butterworth and Chebyshev filters? Explain how frequency transformation is done?

5. Attempt any one part of the following: 7 x 1 = 7

1. FirstRanker.com a) Using a rectangular window technique, design a low pass filter with a passband gain of unity, a cutoff frequency of 1000 Hz, and working at a sampling frequency of 5 kHz. The length of the impulse response should be 7.
2. b) Discuss the Finite Word length effects in digital filters?

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6. Attempt any one part of the following: 7 x 1 = 7

1. a) Find the linear convolution using circular convolution of the following sequences: x(n)={1,2,1} h(n)={1,2}?
2. b) Find the 8 point DFT of the sequence x(n)={1,2,3,4,4,3,2,1} using DIF FFT?

7. Attempt any one part of the following: 7 x 1 = 7

1. FirstRanker.com a) What is multirate digital signal processing? Discuss about application areas of it

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2. b) Discuss about Interpolation and Sampling rate conversion in detail?