JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III DIGITAL SIGNAL PROCESSING Previous Question Paper (May - 2018 - R15)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit.
Part A
Define discrete time system.
Answer
A discrete-time system is a mathematical model or physical device that transforms an input sequence x[n] into an output sequence y[n]. It operates by processing discrete-time signals, where the independent variable n is restricted to integer values, and it is typically represented by the mapping y[n] = T{x[n]}, where T denotes the transformation or rule of the system.
Define causal and anticausal system.
Answer
A system is causal if its output at any time instant depends only on the present and past values of the input signal. For a discrete-time system, the output y[n] must not depend on any input x[k] where k > n. Mathematically, a system is causal if its impulse response h[n] = 0 for all n < 0.
A system is anticausal if its output at any time instant depends only on the present and future values of the input signal. In this case, the output y[n] does not depend on any past input values x[k] where k < n. For a discrete-time system, this implies that the impulse response h[n] = 0 for all n > 0.
What are the analysis and synthesis equations of DFT?
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Define circular convolution.
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List different IIR filter design techniques.
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How one can design digital filters from analog filters?
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What are the different types of filters based on frequency response?
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Give the equation for hanning window.
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Define interpolation.
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What are overflow oscillations?
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Part B
Determine the Fourier transform of the signal.
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Determine the even and odd parts of the signals.
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Find the Fourier transform of x(n) where x(n) =1 ;0<=n <=5; = 0; otherwise.
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Determine whether the following systems are periodic or not.
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An 8-point sequence is given by x(n)= {2,1,2,1,1,2,1,2}. Compute 8-point DFT by radix-2 DIT FFT.
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Find DFT of { 1 1 0 0} by DIT FFT.
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Compute the DFT of the sequence x(n) for the period N=16.
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Find DFT of {1 2 1 2} by DIF FFT.
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Design a Butterworth digital IIR lowpass filter using bilinear transformation by taking T=0.1 second.
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Differentiate between analog and digital filter.
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Design a Butterworth digital IIR highpass filter using bilinear transformation by taking T=0.1 second.
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Differentiate between butterworth and Chebyshev filter.
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Design a FIR bandstop filter to reject frequencies in the range 1.5kHz to 3kHz and sampling frequency of 8kHz with 7 samples using Fourier series method.
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Explain Kaiser Window.
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Design a FIR bandpass filter to reject frequencies in the range 1.5kHz to 3kHz and sampling frequency of 8kHz with 7 samples using Fourier series method.
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Explain Blackman window.
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What is mean by multirate digital signal processing? Describe with examples.
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What are limit cycles? Describe.
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Discuss dead band effects.
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