Andhra University 2007 B.E Electronics & Tele-Communication Engineering Digital Signali Processing - Question Paper

First ques. is compulsory
ans any 4 out of the remaining ques.
All ques. carry equal Marks

1)
a)what are energy and power signals?
b)Define static and dynamic systems.
c)List any 2 properties of convolution.
d) elaborate FIR and IIR system?
e) elaborate the various methods of evaluating inverse z-transfor?
f) List any 2 properties of DFT
g) elaborate the applications of FFt algorithm

2)
a) Determine the impulse response and the step response of the subsequent causal system. explain on stability
y(n)+4y(n-1)+4y(n-2)=x(n)
b) A system gas the unit sample response h(n) provided by h(n)=1/4f(n+1)+1/2f(n)-1/2f(n-1)
(i) Is the filter causal
(ii) Plot |H(e (pow) jw|; [H(e (pow) jw)] !


3)
(a)Find the i/p x(n) of the system, if the impulse response h(n) and the o/p y(n) as shown beneath
h(n)={1,2,3,2}

y(n)={1,3,7,10,10,7,2}
(b) Determine the convolution of the pairs of signals by mean of z-transform x1(n)=(1/2)pow(n) u(n);
x2(n)=cos (pie)n u(n)


4)
a) Determine the 8-poing DFT of the sequence x(n)={1,1,1,1,1,1,0,0}
b) Fubd the circular convolution of the 2 sequences x1(n)={1,2,2,1} and x2(n)={1,2,3,1} using the matrix metheod

5)
a) calculate the 8 point DIT of the sequence

x(n)={ one 0<=n<=7
0 otherwise by using DIT algorithm

b) obtain the IDFT of the 4-pt sequence x(k)={10,-2,+i2,-2,-2,-j2}

6)
a) find the direct form I, direct form II, Cascade and parallel form relization for thefollowing system
y(n)= -0.14(n-1)+0.2y(n-2)+3x(n)+3.6x(n-1)+0.6x(n-2)
b)Explain the effect of Finite word length

7)
a) Design a 3rd order B.W digital filter using impulse invariant technique. presume sample period t=1 sec.
b) Desing a Chebyshev filter for thefollowing specifications using bilinear transfaormation
0.8<=|H(e (pow) jw)|<=1 0<=w<=0.2pie
|H(e (pow) jw)|<=0.2 0.6(pie)<=w<=(pie)
8)
a) Design an ideal bandpass filter with a frequency response
Hd (e (pow) jw ) = one for (pie)/4 <= |w| <= 3(pie)/4
0 otherwise
obtain the values of h(n) for N=11 and plot frequency response
b) Compare FIR and IIR filters.

Earning:   Approval pending.