STUPIDSID
1 (a)
Classify the following system on the basis of linearity and time variance/invariance:
(i) y[n] = 4x[n] - 2y[n-1]
(ii) y[n] - 2ny[n-1] = x[n]
(iii) y[n] + 2 y2[n] = 2x[n] - x[n-1]
(iv) y[n] - 2 y[n-1] = 2x[n] x[n]
(v) y[n] = x[-n]
(i) y[n] = 4x[n] - 2y[n-1]
(ii) y[n] - 2ny[n-1] = x[n]
(iii) y[n] + 2 y2[n] = 2x[n] - x[n-1]
(iv) y[n] - 2 y[n-1] = 2x[n] x[n]
(v) y[n] = x[-n]
5 M
1 (b)
Find the number of complex addition and complex multiplication required to find DFT for 16 point signal. Compare them with number of computations required, if FFT algorithm is used.
5 M
1 (c)
Prove that discrete time harmonics are not always periodic in frequency.
5 M
1 (d)
Compare IIR and FIR.
5 M
2 (a)
Determine causal, non-causal and both sided signal associated with z-transform.
x(z) = [1 + 1.5z-1 + 0.5z-2]-1
x(z) = [1 + 1.5z-1 + 0.5z-2]-1
10 M
2 (b)
If x[n] = [3,2,1,2] and h[n] = {1,2,1,2}, then determine linear convolution.
10 M
3 (a)
Consider a sequence x[n] = {1,2,1,2,0,2,1,2}. Determine DFT using DITFFT.
10 M
3 (b)
Find DFT of the sequence x[n] = {1,2,3,4} and using this result and not otherwise, find DFT of
(i) x1[n] = {1,0,2,0,3,0,4,0}
(ii) x2[n] = {1,2,3,4,0,0,0,0}
(iii) x3[n] = {1,2,3,4,1,2,3,4}.
(i) x1[n] = {1,0,2,0,3,0,4,0}
(ii) x2[n] = {1,2,3,4,0,0,0,0}
(iii) x3[n] = {1,2,3,4,1,2,3,4}.
10 M
4 (a)
The transfer function of discrete time system has poles at z=(1/3),z=(+-j/2) and z=-2(+-)j and zeros at z=0 and z=-1.
(i) Sketch pole-zero diagram.
(ii) Derive the system transfer function.
(iii) Develop difference equation.
(iv) Find if the system is stable.
(i) Sketch pole-zero diagram.
(ii) Derive the system transfer function.
(iii) Develop difference equation.
(iv) Find if the system is stable.
10 M
4 (b)
Derive the composite radix for δ=2.3 algorithm. Draw the flow chart.
10 M
5 (a)
Explain Overlap add and Overlap save method.
10 M
5 (b)
Determine the steady state response of the system
H(z) = (3z2)/(z2 -z + 1)for the input
x[n]=(0.6)n + 2(0.4)n cos(0.5nπ - 1000).
H(z) = (3z2)/(z2 -z + 1)for the input
x[n]=(0.6)n + 2(0.4)n cos(0.5nπ - 1000).
10 M
6 (a)
Show DF-I, DF-II, cascade and parallel realization for
10 M
6 (b)
Let
let the input x[n] = 4 u(n) and the initial conditions be
y[-1]= 0, y[-2] = 12. Find:-
(i) Zero input response.
(ii) Zero state response.
(iii) Total response.
let the input x[n] = 4 u(n) and the initial conditions be
y[-1]= 0, y[-2] = 12. Find:-
(i) Zero input response.
(ii) Zero state response.
(iii) Total response.
10 M
Write short notes on any four:-
7 (a)
Properties of DTFT.
5 M
7 (b)
Goertzel Algorithm.
5 M
7 (c)
Mapping between s-plane and z-plane.
5 M
7 (d)
Applications of DSP to Biomedical field.
5 M
7 (e)
TMS 320C5X series processor.
5 M
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