STUPIDSID
1(a)
With the block diagram explain typical Digital Signal Processing system and also
mention the advantages of DSP over ASP.
7 M
1(b)
For each of the following systems, determine whether the system is
Static /dynamic, Causal/ Noncausal, Linear/ Nonlinear, Time invariant / Time Varient
(i) y[n] = x[n]+ 3u[n+1]
(ii) y[n] = x[a n] where 'a' is any integer greater than 1.
Static /dynamic, Causal/ Noncausal, Linear/ Nonlinear, Time invariant / Time Varient
(i) y[n] = x[n]+ 3u[n+1]
(ii) y[n] = x[a n] where 'a' is any integer greater than 1.
7 M
2(a)
Define Discrete Fourier series, Discrete time Fourier transform and Discrete Fourier transform and explain the relation between them.
7 M
Solve any one question from Q.2(b) & Q.2(c)
2(b)
i. The impulse response of the LTI system is (h(n)=left { underset{uparrow}{2},4,5,6
ight })
Determine the response of the system to the input signal (x(n)=left { underset{uparrow}{1},1,2,3 ight })
ii. Find the auto correlation of the discrete sequence
x (n)= an u(n) for 0 < a <1
Determine the response of the system to the input signal (x(n)=left { underset{uparrow}{1},1,2,3 ight })
ii. Find the auto correlation of the discrete sequence
x (n)= an u(n) for 0 < a <1
7 M
2(c)
What is ROC? Explain the properties of the ROC in Z-Transform.
7 M
Solve any one question from Q.3 & Q.4
3(a)
Find the z transform of x(n) = n2 e-2n u(n) using the necessary properties.
7 M
3(b)
Find the solution for the given the difference equation
y(n) + b2 y(n-2)=0 for n ≥ 0 where |b|< 1
and initial conditions are y(-1) = 0, y(-2) = -1
y(n) + b2 y(n-2)=0 for n ≥ 0 where |b|< 1
and initial conditions are y(-1) = 0, y(-2) = -1
7 M
4(a)
Draw the structures of the following discrete time system defined by the difference equation [y(n)-dfrac{3}{4}y(n-1)+dfrac{1}{8}y(n-2)=x(n)+dfrac{1}{3} imes(n-1)]
(i) Direct Form-I
(ii) Direct Form-II
(iii) Cascade Form
(i) Direct Form-I
(ii) Direct Form-II
(iii) Cascade Form
7 M
4(b)
Explain Inverse system, minimum phase system and all pass system. Determine Inverse of the system characterized by y(n)=0.5y(n-1)+x(n) assuming zero initial
conditions.
7 M
Solve any one question from Q.5 & Q.6
5(a)
Explain Impulse invariant method for IIR Filter design.
Determine H(z) by using by using Impulse invariant method if
[H(s)=dfrac{10}{s+2}] and sampling time is 0.01sec
[H(s)=dfrac{10}{s+2}] and sampling time is 0.01sec
7 M
5(b)
Determine the Circular convolution of the two sequences x1 (n)={2,7,5,8,9} and x2 (n)={1,3,2,4,5}
7 M
6(a)
Using DFT and IDFT method compute linear convolution of two sequences x1 (n)={2,3,5 } and x2 (n)={1,3 }
7 M
6(b)
Explain the window functions used in FIR filter design.
7 M
Solve any one question from Q.7 & Q.8
7(a)
A digital low pass Butterworth filter with a 3db bandwidth of 0.2π is to be designed from analog filter whose system response is [H(s)=dfrac{Omega _c}{s+Omega _c}] Use bilinear transformation & obtain H(z).
7 M
7(b)
State and prove any four properties of DFT
7 M
8(a)
Derive the 8 point Radix 2 DITFFT algorithm to compute DFT. Also explain the bit reversal concept in it.
7 M
8(b)
Explain multiplier-Accumulator (MAC) hardware in DSP processors
7 M
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