Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 5th Sem 2150307 Digital Signal Processing Previous Question Paper

Enrolment No.___________

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**BE - SEMESTER? V EXAMINATION ? SUMMER 2020**

**Subject Code: 2150307**

**Date:29/10/2020**

**Subject Name: Digital Signal Processing**

**Time: 02:30 PM TO 05:00 PM**

**Total Marks: 70**

**Instructions:**

**1. Attempt all questions.**

**2. Make suitable assumptions wherever necessary.**

**3. Figures to the right indicate full marks.**

**MARKS**

**Q.1 (a)**Define following signals with proper example:

**03**

1. Digital Signal

2. Continuous Time Signal

3. Power Signal

**(b)**Draw the following signals, if

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x(n) = {1, 2, 3, 4, 5, 6}

1. x(-n)

2. x(-n-1)

3. x(n/2)

4. 2x(n)

**(c)**List out different properties of Z-Transform. Explain any three in detail.

**07**

**Q.2 (a)**Sketch the following Signals.

**03**

1. (n-3)

2. (n+3)

3. (-n)

4. (-n+2)

**(b)**Check y(n)= nx(n-1) is

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1. Static or Dynamic

2. Time variant or Time In-variant

3. Linear or Non Linear

4. Causal or Anti Causal

**(c)**For the system

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Y (n)-3/4y (n-1) +1/8y (n-2) =x (n) +1/2x (n-1). Derive the direct form I

and direct form II structures.

**OR**

**(c)**Draw the pa

rallel form realization of following signal

**07**

y(n) = 5y(n -1) -2y(n -2) + x(n) + 4x(n -1).

**Q.3 (a)**What do you mean by correlation? Explain with examples.

**03**

**(b)**Find out convolution of following sequences

**04**

x(n)= 5nu(n) and h(n)= u(n-5).

**(c)**Consider a sequence x[n]={1,1,-1,-1,-1,1,1,-1} determine the DFT X[k] of

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x[n] using the decimation-in-time FFT algorithm.

**OR**

**Q.3 (a)**Obtain the inverse z-transform of the following:

**03**

X(z) = log(1 + a z-1) , |z| > |a|

**(b)**Find out the Z-transform of following: X(n) = anu(n)

**04**

**(c)**Given x(n)={1,2,3,4,4,3,2,1}, find X(k) using Decimation-In-Frequency

**07**

FFT algorithm.

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**Q.4 (a)**Explain Mapping between S-plane and Z-plane.

**03**

**(b)**Explain Goertzel algorithm to compute DFT.

**04**

**(c)**Obtain the lattice filter implementation for the all-pole filter

**07**

**OR**

**Q.4 (a)**What is Equiripple Approximation?

**03**

**(b)**What is aliasing? Explain various methods to eliminate aliasing effect.

**04**

**(c)**Find out 8-point DFT of x(n)={1,2,1,2} using Radix -2 DIF-FFT

**07**

algorithm.

**Q.5 (a)**List the advantages of digital filter.

**03**

**(b)**Compare Butterworth and Chebyshev filters.

**04**

**(c)**Explain IIR filter design by bilinear transformation method.

**07**

**OR**

**Q.5 (a)**What is "twiddle factor" of DFT?

**03**

**(b)**What is Gibbs Phenomena?

**04**

**(c)**Explain how to remove baseline drift in ECG using Digital filters.

**07**

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This post was last modified on 04 March 2021