SRM University 2007 B.Tech Electronics and Communications Engineering BANK : EC303 – DIGITAL SIGNAL PROCESSING - Question Paper

4. Determine the response of the system whose input and impulse response are




5. Given h(n)={1,2,4} and x(n)={1,2}.Find linear convolution through circular convolution.
6. Determine the response of the system whose input x(n) and impulse response h(n) are provided by x(n)={1,2,3,1}; h(n)={1,2,1,-1} using graphical method.
7. Find the convolution of the signals
x(n) = one ; n=-2,0,1
two ; n= -1
0 ; elsewhere
h(n) =d(n)- d(n-1)+ d(n-2)- d(n-3).

8. Obtain DF I and II of the LTI system governed by the formula
y(n)= -3/8 y(n-1)+3/32 y(n-2)+1/64y(n-3)+x(n)+3x(n-1)+2x(n-2).
9. Determine impulse response for the system defined by 2nd order difference formula y(n)-4y(n-1)+4y(n-2)= x(n-1).
10. Find the output y(n) of a filter whose impulse response is h(n)={1,1,1} and input signal x(n)={3,-1,0,1,3,2,0,1,2,1}.using overlap add method and overlap save method.
11. Perform linear convolution of the sequences x(n)={-1,1,2,-1,1,2,-1,1,-1} and h(n)={2,3,-2} using overlap add and overlap save method.
12. Using linear convolution, obtain y(n)for the sequences x(n)={1,2,-1,2,3,-2, -3,-1, 1,1,2,-1} and h(n)={1,2} .Compare the outcome by solving the issue using overlap add method and overlap save method.
13. a) obtain the circular convolution of two finite duration sequences
x1(n)={1, -1, -2, 3,-1}, x2(n)={1,2,3}.
b) Perform the circular convolution of the sequences x1(n)={1,1,2,1}, x2(n) = {1,2,3,4} using concentric circle method.
14. Compute the DFT of the sequence x(n) = one ; 0? n ? 7
0 ; otherwise
using DIT-FFT algorithm.

15. Compute the 8-point DFT of the sequence
x(n) = {0.5,0.5,0.5,0.5,0,0,0,0} using DIT-FFT algorithm.
16. Compute the 8-point DFT of the sequence x(n) = {1,1,1,1,1,1,1,1} using DIF-FFT algorithm.
17. Compute the 8-point DFT of the sequence
x(n) = {0.5,0.5,0.5,0.5,0,0,0,0} using DIF-FFT algorithm.
18. Compute the IDFT of the sequence X(K) = {7,-0.707-j0.707,-j, 0.707-j0.707,1, 0.707+j0.707,j, -0.707+j0.707} using DIT-FFT algorithm.
19. Given x(n)={ 1,2,3,4,4,3,2,1} obtain X(K) using DIT-FFT algorithm.
20. Given x(n)={0,1,2,3,4,5,6,7}. obtain X(K) using DIT-FFT algorithm.
21. Given x(n)= 2n and N=8. obtain X(K) using DIT-FFT algorithm.
22. Given x(n)= n +1 and N=8. obtain X(K) using DIT-FFT algorithm.
23. Given x(n)={ 1,2,3,4,4,3,2,1} obtain X(K) using DIF-FFT algorithm

Earning:   Approval pending.