Question Paper: Discrete Time Signal Processing Question Paper - May 18 - Electronics And Telecomm (Semester 6) - Mumbai University (MU)
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Discrete Time Signal Processing - May 18

Electronics And Telecomm (Semester 6)

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) Solve any four.

1(a) Determine the zeros of the following systems and indicate whether the system is minimum, maximum or mixed phase.

1) $H_1(z) = 6+Z^{-1} + 6Z^{-2}$

1) $H_2(z) = 1-Z^{-1} - 6Z^{-2}$

(5 marks) 00

1(b) What is multirate DSP? State its applications.
(5 marks) 00

1(c) Compare BLT and impulse invariant method.
(5 marks) 00

1(d) Explain concept of decimation by integer D.
(5 marks) 00

1(e) If X(K) = {16, -4, 0, -4}, determine x[n] using IFFT.
(5 marks) 00

2(a) If x(n) = {1,2,3} and h(n) = {1,0}

1. Find linear convolution using circular convolution.
2. Find circular convolution using DFT-IDFT.
(10 marks) 00

2(b) Show the mapping from S plane to Z plane using impluse invariant method. Explain its limitations. Using this method determine H(z) if

$$H(s) = \frac{2}{(s+1) (s+2)} \space\space\space\space if \space T_s=1s$$

(10 marks) 00

3(a) Compute DFT of sequence x(n) = {1,2,3,4,5,6,7,8} using DIT-FFT algorithm.
(10 marks) 00

3(b) Design low pass IIR Butterworth filter for following specifications

Passband attenuation = 1 dB

Stopband attenuation = 40dB

Passband edge frequency = 200 Hz

Stopband edge frequency = 540 Hz

Sampling frequency = 8 KHz

Use Bilinear transformation method.

(10 marks) 00

4(a) A low pass filter is to be designed with following desired frequency response.

$$Hd(e^{j\omega}) \space\space\space\space \frac{-\pi}{4} \le w \le \frac{\pi}{4}$$

$$= 0\space\space\space\space \frac{\pi}{4} \le w \le \pi$$

Detemine the filter coefficients $h_d(n)$ if the window function is defined as

$$w(n) = 1 \space \space \space \space 0 \le n \le 4$$

$$= 0 \space \space \space \space otherwise$$

Also determine the frequency response $H(e^{j\omega})$ of the designed filter.

(10 marks) 00

4(b) Find DFT of x(n) = {1,2,3,4} Using these results not otherwise find DFT.

i) $x_1(n)$ = {4,1,2,3}

ii) $x_2(n)$ = {2,3,4,1}

iii) $x_3(n)$ = {6,4,6,4}

(10 marks) 00

5(a) Explain subband coding of speech signal as a application of multirate signal processing.
(10 marks) 00

5(b) Determine the Direct form-I and Direct form-II realization for the system

$y(n) = -0.1y(n-1) + 0.2y(n-2) + 3x(n) + 3.6x(n-1) + 0.6x9n-2)$

(10 marks) 00

Q6) Write short notes on:

6(a) Dual Tone Multifrequency Detection using Goertzel's algorithm
(7 marks) 00

6(b) The effects of coefficients quantization in FIR filters.
(7 marks) 00

6(c) Concept of interpolation by integer factor I
(6 marks) 00

 modified 8 months ago  • written 8 months ago by Yashbeer ★ 160