Anna University of Technology Tirunelveli 2010 B.E Computer Science and Engineering /B.Tech (Regulations 2007) - Question Paper
Saturday, 02 February 2013 04:50Web
B.E/B.Tech. Degree exam
November/December 2010
Sixth Semester
COMPUTER SCIENCE AND ENGINEERING
IT1252-DIGITAL SIGINAL PROCESSSING
(Regulations 2007)
Part A
1.State sampling theorem and obtain Nyquist rate of the signal.
x(t)=5sin250pi t+6cos300pi t
2.Define causality and test the causality of the subsequent system
y(n)=x(n^2)
3.Draw the basic butterfly diagram for radix-2-DIT-FET and DIF-FFt.
4.Define 'phase factor' or 'twiddle factor' of FET.
5.An LTI system defined by the difference formula y(n)=ay(n-1)+x(n)+b(n-1).Realize itin direct from-1 structure.
6.Sketch the magnitude3 response of kind I & kind II Chebyshev filter.
7.What is meant by Gibbs Phenomenon?
8.List The merits and demerits of FIR and IIR filter.
9.What is called dead band of the filter?
10.Write the difference ranging from fixed point hardware and floating point hardware.
Part B
11(a) A discrete system can be (i)Static or Dynamic (ii)Linear or Nonlinear (iii)Time invariant or time varying (iv) Causal or non Causal. Exaamine the subsequent systems with respecct to the properties above.
(1) y(n)=x(n)cos[W0n]
(2) y(n)=x(-n).
Or
(b) Determine the cross correlation sequence Rxy(l) of the sequences
x(n)={2, -1, 3, 7, ->1<-, 2, -23}
y(n)={1, -1, 2, -2, ->4<-, 1, -2,5}
12(a) calculate the eight point DFT of the sequence x(n)={1/2,1/2,1/2,1/2,0,0,0,0} using radix two decimation in time and radix two decimation in frequency algorithm.
Or
(b) (i) Determine the response of the system using filtering method based on DFT for the provided sequence x(n)={1,0,5} and h(n){0,5,,1}
(ii) By means of DFT and IDFT, Determine the sequence x(n) corresponding to the circular convolution of the sequence x1 and x2 provided by x1={2,1,2,1} x2={1,2,3,4}.
13(a) (i) For the analog transfer function Ha(s)=2/((s+1)(s+2)),Determine H(z) if T=1sec by means of the impulse invariant method.
(ii) Convert the analog filter with system transfer function Ha(s)=(s+0.1)/((s+0.1^2)+9) into digital IIR bilinear transformation.
Or
(b)(i) Determine the order and poles of allow pass Butterworth filter that has a -3dB bandwidth of 500Hz and an attenuation of 40dB at 1000Hz
(ii)Determine the order and poles of a kind I Chebyshev lowpass filter that has a 1dB ripple in the passband, a cutoff frequency of 1000Pi, a stopband frequency of ohm=2000Pi and attenuation of 40dB or more for ohm>ohms.
14(a) Consider an FIR filter with system function H(z)=1+2.88z^-1 +3.4048z^-2 +1.74z^-3 +0.4z^-1
Sketch the direct form and lattice realizations of the filter and determine in detail the corresponding input-output equations
Or
(b) Design an ideal high pass filter with a frquency responce Hd(e^jw)={1 pi/4 <|w|
15 (a) THe input to the system y(n)=0.999y(n-1)+x(n) is quantized to b=8bits. What is the power produced by the quantization noise at the output of the filter?
Or
(b) discuss vocoder in detail.
| Earning: Approval pending. |
