Rajasthan Technical University 2010-7th Sem B.Tech Electronics and Communications Engineering Digital Signal Processing for ECE Main - Question Paper
Digital Signal Processing for ECE B.Tech 7th Semester Main examination 2010. This paper is for Rajasthan tech. University Kota Students and common for EIC and Aeronautical engineering Branch. Total Printed Pages
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B. Tech. VII Semester (Main) Examination, December 2010 (Common for 7EI2,7EC 2,7AI2,7EX 6-1)
DIGITAL SIGNAL PROCESSING
Time : 3 Hours] [Total Marks : 80
[Min. Passing Marks: 24
Instructions to Candidates:
Attempt overall Five Questions selecting any one question from each unit.
All questions carry equal marks. (Schematic diagrams must be shown wherever necessary. Any data you feel missing may suitably be assumed and stated clearly.
Units of quantities used / calculated must be stated clearly.)
UNIT-I
Q. 1. (jj.) Derive an expression to calculate frequency response of a discrete time signal which is compressed by a factor of M.
Draw the frequency response also. (10)
(b) x(n) = cos()+CoS|j
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Given signal x(n) is down sampled bv a factor of 2. Discuss whether down sampled signal will loose any information? |
 |
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for the given svstem where |
(6)
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xc(.jft) |
 |
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-27ex5x103 2tcx5x103Q |
P.T.O.
i
< (jfl) is frequency domain of xc(l)
T= : 7 seconds, 104
I |w
L = 2
H(eJW) = -
0, |w|rc
Draw the frequency domain of signals x(n). u(n), y (n) and
alongwith writing their mathematical representations. (4+4+4+4=16)
UNIT-II
Q.3.
(a, Design a linear phase FIR system having sequence length 7 and
Antisymmetric impulse response. . .
(l+0*2z*) (l-9z-2) ,-2>
(b) H(z)
(1 + 0-81 z )
Decompose given H(a) in all pass and minimumphase system. (8)
OR
(a) Discuss Minimum phase and All Pass systems along with suitable examples. (4+4=8)
Q.4.
(b) Calculate the group delay of the system having impulse response as shown
-2
2
(8)
(8)
UNIT-III
Q. 5. (a) Draw the Direct form - T1 structure for the system
y(n) = -0ly(n-l) + 0 2y(n-2) + 3x(n) + 2x(n-l) + 32x(n-2)
(b) Draw the Direct form structure for the system
(8)
y(n) == 4 x (n) + 5 x (n - l) + 3x (n -2)+ 5 x (n -3)+ 4 x (n -4)
OR
Draw the cascade structure for the system
Q.6.
H (z) =
-2-
(l+05z_1) (l-0-9z 1 +0-81 z A)
(10)
Draw the transposed form structure for the given structure
|
x(") a2 y(n) |
 |
UNIT-IV
Q* 7. (a) Determine the lowest order of a low'pass filter with 1 dB cutoff
frequency at 1 KHz and minimum attenuation of 40 dB at 5 KHz. (10)
(b) Discuss Bilinear transform method of digital HR filter design. (6)
P. TO.
OK
Qv8. Design a digital FIR filter using rectangular window where desired frequency response of a low pass filter is given by
e-Mwlsi
4
Hd(w) =
0 ; < I w I < JC 4 1 1
Where rectangular window is defined as fl 0 < n < 4
w(n)
0 Otherwise
(16)
UNIT - V
Q. 9. (a) Prove that DFT of Real and Odd sequence is imaginary and odd- (8)
(b) Calcula te DFT of a sequence
x (n) =25 (n) + 3S (n-l) + 45 (n-2)+S (n-3) (8)
OR
Q. 10. (a) Discuss 8 point Decimation in time FFT Algorithm along with
' suitable mathematical expression and flow graph. (10)
b) Discuss linear predictive coding by drawing a suitable model. (6)
4
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Attachment: |
| Earning: Approval pending. |
