Code No. 2052

FACULTY OF ENGINEERINGB.E. 3/4 (E & EE / Inst.) II Semester (Suppl.) Examination, December 2012

Subject: Digital Signal Processing

Time: 3 Hours Max.Marks: 75Note : Answer all questions from Part A. Answer any Five questions from Part B.

PART – A (25 Marks)

1. Represent the sequence x(n) = {2, -1, 1, 3, 2} as shifted unit step sequence. (3)2. Define energy signal and power signal. (2)3. Determine the DFT X(0) & X(4) for the signal x(n) = {1,1,1,1,1,1,1,1}. (2)4. Compute the linear convolution of the following signals using circular convolution.

x(n) = {1,3,5}, h(n) = {1,-2}. (3)5. Find the inverse Z transform of the following transfer function.

zX(z) = ROC: 1< | z | < 2(z -1) (z - 2)

(3)

6. Write shifting property of z-transform. (2)7. Determine Butterworth poles for n=3. (3)8. What is prewarping? (2)9. Write advantages of FIR filters. (3)10.What is the advantage of dual access RAM in digital signal processor. (2)

PART – B (5x10 = 50 Marks)

11.Determine the impulse response and step response of the following discrete timesystems. y(n) = 0.6y(n-1) – 0.08y(n-2) + x(n) (10)

12.Determine whether each of the following system defined below is (i) causal (ii) linear(iii) time invariant (iv) stable (10)(a) y(n) = log x2(n)(b) y(n) = e-x(n)

(c) y(n) = x(-n-2)(d) y(n) = x(n) sinbon.

13.Obtain the direct from II and cascade form realizations for the following transfer function-1 -1

-1 -1 -1

(1 + z )(1+2z )H(z) = 1 1 1(1+ z ) (1- z )(1+ z )2 4 8

(10)

14.(a) Determine the DFT of the following sequence using DIFFFT algorithm. (6)x(n) = {2, 2, 2, 2, 1, 1, 1, 1}

(b) What is periodic convolution? (4)

15.(a) Find the digital filter H(z) from given analog filter below using step invariant method.1H(s) =

s(s+1)(5)

(b) Determine Bilinear transformation from trapezoidal rule. (5)16.What are the features which made Digital signal processor faster than microprocessor?

Explain in detail. (10)17.Write short notes on the following:

(a) Sampling theorem (4)(b) Design procedure of FIR filter (3)(c) Stability in Z-domain (3)

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