STUPIDSID
1 (a)
What are the advantages of DSP over ASP?
7 M
1 (b)
Explain classification of system.
7 M
2 (a)
Define ROC and explain its properties for the z-transform.
7 M
Answer any two question from Q2 (b) or Q2 (c)
2 (b)
Prove the following properties of Fourier transform.
i) Time shifting
ii) Convolution
iii) Frequency shifting.
i) Time shifting
ii) Convolution
iii) Frequency shifting.
7 M
2 (c)
Obtain the trigonometric Fourier series of triangular waveform, having an amplitude +A at T/2 and -A at -T/2.
7 M
Answer any two question from Q3 (a), (b) or Q3 (c), (d)
3 (a)
Perform convolution of given sequence \[ h(n)= \{1 ,1,\underset{\uparrow } {0}, 1, 1 \}. x(n)=\{1, -2, -3, \underset {\uparrow}{4}\} \]
7 M
3 (b)
Find Inverse z-transform using partial fraction method: \[ H(z)= \dfrac {-4+8z^{-1}}{1+6z^{-2}+8z^{-2}} \]
7 M
3 (c)
Determine the Z-transform of
i) 2n u(n-2) ii) n2 u(n) iii) cosωn
i) 2n u(n-2) ii) n2 u(n) iii) cosωn
7 M
3 (d)
Find inverse z-transform using Residue method: \[ X(Z)= \dfrac {1}{(Z-0.25)(Z-0.5)} \]
7 M
Answer any two question from Q4 (a), (b) or Q4 (c), (d)
4 (a)
Find IDFT of X(k)={3,(2+j),1,(2-j)}
7 M
4 (b)
Given X(n)={0,1,2,3,4,5,6,7}, find X(k) using DIT-FFT algorithm.
7 M
4 (c)
Determine the DFT of the sequence x(n)=(1/4, 1/4,1/4).
7 M
4 (d)
Differentiate between decimatior-in-time FFT and decimation-in-frequency FFT algorithm.
7 M
Answer any two question from Q5 (a), (b) or Q5 (c), (d)
5 (a)
Discuss various steps for design FIR digital filter using Kaiser window.
7 M
5 (b)
Discuss bilinear transformation technique for IIR digital filter design.
7 M
5 (c)
Find H(z) By using bilinear transfomation method where \[ H(s)= \dfrac {s}{(s+1)(s+3)} \] and T=0.1 sec.
7 M
5 (d)
Discuss the stability of the impulse invariant mapping technique.
7 M
More question papers from Discrete Time Signal Processing