SRM University 2007 B.Tech Electronics and Communications Engineering BANK : Signals and Systems - Question Paper
Wednesday, 30 January 2013 07:25Web
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7. Find the frequency response of the RC circuit shown
Plot the phase response for RC =1 (use Fourier transform.)
8. Find the time domain signal x (t) provided X(s) =2s+1/ (s+1) (s2+2s+2).
9. Using laplace transform solve the subsequent differential formula
D3y(t)/dt3 + six d2y(t)/dt2 + 16 dy(t)/dt +12y(t) = x(t)
10. Using graphical convolution procedure obtain the output of the system. provided
x (t) = u (t-3) – u (t-5);
h(t) = e- three t u (t)
UNIT-IV
Part - A
1. Define DTFT
2. State the condition for existence of DTFT
3. State the time shift property of DTFT.
4. State the scaling property of DTFT.
5. What is convolution in DTFT?
6. State Parsavel’s theorem.
7. Find the fourier transform of the unit sample x[n] = d[n].
8. Write any 2 properties of DFT.
9. What is linear convolution?
10. what is circular convolution?
11. Define a unilateral Z transform
12. Mention the 4 various methods used to find inverse Z transform.
13. What is a region of convergence?
14. State the convolution property of Z transform.
15. What is the Z transform of A d[n-m]?
16. State modulation theorem.
17. State correlation theorem.
Part – B
1. Write the properties of DTFT.
2. Find the fourier transform of x[n] = an u[n] for -1
and length L i.e x[n] = A for 0= n=L-1
0 otherwise
4. Determine the discrete time sequence where DTFT is provided as
X(w) = one for –wc = w = wc
0 for wc < | w | < ?
5. Determine the fourier transform of unit step sequence x[n] = u[n].
6. Compute the DFT of the subsequent sequence x[n] = { 0,1,2,3}
7. Compute the eight point DFT of the subsequent signal x[n] = { 1,1,1,1 }
8. Compute the N-point DFT of x[n] = an for 0
10. State and prove convolution theorem of Z transform
11. Find the inverse Z transform of
2Z
F(Z) = ------------------------------------------
Z2+ 2Z +1
12. What is the inverse Z transform of 1/(1-az-1)
13. State and prove the time delay theorem of z transform.
14. Find the z transform of the subsequent and determine ROC x[n] = {8,3,-2,0,4,-6}
15. obtain the DTFT of the subsequent
(i) x[n] = {1,-1,2,2 }
(ii) x[n] = 2n u[n]
(iii) x[n] = (0.5) n + two –n u[-n-1)
16. Find the frequency response of the subsequent causal system
| Earning: Approval pending. |
