11-06-2013, 02:30 PM
SEMESTER EXAMINATIONS FOR DIGITAL SIGNAL PROCESSING
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Answer any five questions
All questions carry equal marks
1.a) Define the following terms as referred to LTI discrete time system
i) Stability
ii) Causality
iii) Time Invariance
iv) Linearity
b) A causal LTI system is defined by the difference equation
2y(n)-y(n-2)=x(n-1)+3x(n-2)+2x(n-3).
Find the frequency response, magnitude response and phase response.
2.a) State and prove time and frequency shifting properties of Fourier transform.
b) Compute the DFT of the three point sequence x(n)={2,1,2}.Using the same sequence, compute the 6 point DFT and compare the two DFTs.
3.a) Compute the DFT of the sequence given below using Radix-2, DIT-FFT algorithm X(n)={1,1,1,1,0,0,0,0}
b) Explain the inverse DFT using DIF-FFT radix-2 algorithm.
4.a) Determine the impulse response of the system described by the difference equation, y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1) using z-transform.
b) Realize the given system in parallel form of 2nd order systems.
H(z)= (1+1/2z-1) / [1- z-1+1/4z-2] [1- z-1+1/2z-2]
5.a) Compare the Butterworth and Chebyshev approximations.
b) Discuss impulse invariance method and bring out its merits and demerits.
6.a) Use a hamming window to find fourth order linear phase FIR filter to approximate ideal low pass filter e-j2ω for | ω | ≤ 1 and zero for ≤ | ω | ≤ π.
b) Compare FIR and IIR filters.
7.a) What are the advantages of DSP processors compared to other conventional Processors?
b) Explain the architecture of TMS 320C5X Processor with suitable block diagram.
8. Write short notes on any two of the following
a) Multiplier Accumulator (MAC)
b) Spectrum Analyzer of Sinusoidal
c) On-Chip peripherals