# 2007 Anna University Chennai B.E Electronic Instrumentation & Control Engineer DIGITAL SIGNAL PROCESSING Question paper

** University Question Papers **

**
**2007 Anna University Chennai B.E Electronic Instrumentation & Control Engineer DIGITAL SIGNAL PROCESSING Question paper

B.E. INSTRUMENTATION ENGINEERING

DIGITAL SIGNAL PROCESSING

MAX :100

ANSWER THE FOLLOWING:

PART A-(10*2=20)

1. What is the condition for discrete time signal to be periodic.

2. If the sequence x(n) is given by x(n) = { 1, 1.5, .5, -.5, 1 } sketch x(2n) and x(n/2).

3. What is the z transform of a sequence an u(n) including the ROC?

4. Write the Circular correlation property of DFT.

5. Why FFT is needed?

6. Compute the DFT of a sequence x(n) = { 1, -1, 1, -1} using DIT algorithm.

7. Define FIR filters? What are its features?

8. What are the limitations of IIR filters?

9. How data memory is organized in TMS and ADSP signal processing chips?

10. What are the functions of the memory mapped registers available in TMS processor?

PART B-(5*16=80)

11.(a). List the status register bits of 5X and their functions and What are the On-chip peripherals in 5X and explain their functions.

(Or)

(b) . Explain the memory organization and bus structure of a typical ADSP signal processor.

12.(a) Check for causality and stability y(n) = n2 x(n).and find the solution to the following linear constant coefficient difference equation y(n) -3/2y(n-1)+ 1/2y(n-2) =(1/4) n n=0 with initial conditions y(-1)=4 and y(-2)=10. (Or)

(b).Given a linear shift invariant system specified by the difference equation y(n)+1/2y(n-1)= x(n)-x(n-1),n=0.

(i). find the frequency response of the system

(ii). Find the magnitude and phase response. And also sketch them.

13. (a).Find the z transform of the following discrete time signal including ROC x(n) = cosw0n for n =0. & By using partial fraction expansion method find the inverse z-transform of H(z) = (-4+8z-1)/(1+6z-1 +8z-2)(or)

(b) Using linear convolution find y(n) = x(n)*h(n) for sequence x(n)={1,1,1,1,-2,-2,-2,-2,1,2,3,4} and h(n) ={1,-1,1}. Compare the result by solving the problem using overlap and method & overlap save method.

14. (a). Find the DFT of a sequence x(n) = {1,2,3,4,4,3,2,1} using in-place radix 2 decimation in time and radix 2 decimation in frequency algorithm . Follow exactly the corresponding signal flow graphs.

(b)Explain the decimation in time FFT algorithm. & From first principle explain the periodogram method of spectral estimation associated with a discrete random process.

15. (a) Discuss the merits and Demerits of the FIR filter.& Convert the analog filter with sytem Ha(s) = (S+0.1)/(S+0.1)2 +9.into a digital IIR filter by means of impulse invariance method.(Or)

(b). Derive conditions to be satisfied by a casual digital filter to exhibit linear phase response. & Discuss the design procedure of FIR filter employing windowing technique.