Question Paper: Digital signal processing Question Paper - Dec 17 - Electronics Engineering (Semester 7) - Mumbai University (MU)
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## Digital signal processing - Dec 17

### Electronics Engineering (Semester 7)

Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.

Q1. Attempt any four

1.a. Differentiate between butterworth and chebyshev filter.
(5 marks) 00

1.b. Explain frequency wrapping effect in beginning IIR Filters.
(5 marks) 00

1.c. State the relationship between DFS, DFT and z transform.
(5 marks) 00

1.d. What is the DTFS. Find DTFS of X(n)={0,1,2,3} with period N=4.
(5 marks) 00

1.e. Compare DSP processor and microprocessor.
(5 marks) 00

2.a. Comute IDFT of the following sequence using inverse FFT algorithm X(k) = {3,0,3,0,3,0,3,0)
(10 marks) 00

2.b. Write down the design steps for FIR filter using the window techniques. Compare windows.
(10 marks) 00

3.a. Design analog butterworth filter then has -2 db passband attention of 20 rad/sec and at least -10 db stopband attention at 30 rad/sec.
(10 marks) 00

3.b Compute the circular convolution of the sequence using DFT and IDFT, X1(n)={1, 2, 0} and X2(n)= (2,2,1,1)
(10 marks) 00

4.a. Given H(s)=[1/(s+1)(s+3)], T=2 seconds. Design digital IIR filter using BLT method. Explain advantage of BI.T method over IIM method.
(10 marks) 00

4.b. Design 6th linear phase LPF with cutoff frequency $\pi/2$ using blackman window.
(10 marks) 00

5.a. Design butterworth LPF to meet following specification

Passband gain is 0.89

Passband frequency edge 30Hz

Attenuation 0.20

Stopband edge 75Hz

(10 marks) 00

5.b. Design the symmetric FIR LPF where desired frequency response is given as

$\operatorname{Hd}(w)=\left\{\begin{array}{ll}{e^{(-jw)}} & \\ 0 \end{array}\right.$ for $|\mathrm{w}| \leq \mathrm{w}_{0}$ otherwise

(10 marks) 00

Q6. Write the short note on following (any two)

6.a. Gibb's phenomenon.
(10 marks) 00

6.b. Application of DSP in speech and radar Processing
(10 marks) 00

6.c. Limit cycle oscillations.
(10 marks) 00