Question Paper: Digital Signal Processing : Question Paper May 2016 - Computer Engineering (Semester 7) | Mumbai University (MU)
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Digital Signal Processing - May 2016

Computer Engineering (Semester 7)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1(a) Fro the given causal sequences x(n) = {8, 9, 2, 3} and h(n) = {4, 3, 6} find the cross correlation.(5 marks) 1(b) State the condition for stability of LTI system and determine for the given discrete time system h(n) = (0.3)nu(n) + 5δ(n), is stable or not.(5 marks) 1(c) Differentiate IIR and FIR systems.(5 marks) 1(d) For the causal signal x(n) = {2, 2, 4, 4} compute four point DFT using DIT-Fft.(5 marks) 2(a) Check whether following system y(n) = 2x(n-1) + x(2n) is:
a. Linear or non Linear
2. Causal or non-causal
3. Time variant or Time invariant
4. Static or Dynamic
(10 marks)
2(b) Draw the radix 2 DIT flow graph and find the DFT of the sequence x(n) = {10, 11, 8, 5} using FFT flow graph.(10 marks) 3(a) A For x(n)={2 3 →4 5 1 3}, plot the following Discrete Time Signals:
1) x(n-1)   2) x(n)u(-n)   3)x(n-1)u(n-1)   4) x(-n)u(n)   5) x(2n)
(10 marks)
3(b) Determine whether or not the following signals are periodic.
If periodic specify its fundamental peroid,
1. x(n) = sin(0.25πn+0.4)
2. x(n) = cos(0.5nπ) + sin(0.25nπ)
(10 marks)
4(a) For the FIR digital filter with impluse response given by
h(n) = 2δ (n-4) sketch the magnitude response of the filter.
(10 marks)
4(b) State any five DFT properties.(10 marks) 5(a) Find circular convolution of x1(n) = {5, 6, 2, 1} and x2(n) = {3, 2, 1, 4} by computing DFT of x1(n) and x2(n).(10 marks) 5(b) Compute Linear Convolution of causal sequence x(n) = {7, 6, 4, 5, 2, 4, 5, 2, 3} and h(n) = {1 2 3 1} using fast overlap save method.(10 marks) 6(a) Write a detailed note on Carl's Correlation Coefficient Algorithm.(10 marks) 6(b) Write a detailed note on DSP Processor and Architecture.(10 marks)

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