Dsp_question_bank.docx

EC2302 DIGITAL SIGNAL PROCESSING

Question Bank

Department of ECE – Part B - Question Bank UNIT- I 1. Given x(n) = {1,2,3,4,4,3,2,1} ,find X(K) using DIT,DIF FFT Radix 2 algorithm. (16) 2. Compute the DFT and IDFT for the sequence x(n)=cos n π/4 ; 0≤ n≤ 7.

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3. Perform convolution of the following finite duration sequence h(n) = {-1,1 } and x(n)={1,-1,2,-2,3,-3,4,-4} by (i) Over-lap add (ii) overlap save methods. (16)

UNIT-II 1.Design a Chebyshev digital low pass filter with the following specifications. pass band ripple ≤ 1 dB, pass band edge = 4Khz,stop band attenuation ≥ 40 dB, stop band edge = 6Khz & sampling rate = 24Khz. Use bilinear transformation. (16) 2. Design a Butter worth filter for satisfying the constraints 0.8 ≤ | H( )| ≤ 1 for 0 ≤ w ≤ 0.2π | H( ) | ≤ 0.2 for 0.6π ≤ w ≤ π With T=1 second. Using Impulse Invariant Method. 3.

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UNIT-III 1.

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EC2302 DIGITAL SIGNAL PROCESSING

Question Bank

3.Design an ideal differentiator with frequency response, H d (e jw ) = jw ; -π≤ w ≤π using Hanning window with N=8

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UNIT-IV 1.i) Consider the transfer function H(Z)=H 1 (Z) H 2 (Z) where H 1 (Z)=1/1-a 1 Z 1 H 2 (Z)=1/ 1-a 2 Z 1 . Find the output Round of noise power Assume a= 0.5 and a= 0.6 and find output round off noise power. (8) ii) Consider a second order IIR filter with H(z)= 1/(1-0.5 Z) (1-0.45 Z). Find the effect on pole locations of the given system function in direct form and cascade form. Take b=3 bits. (8) 2.i) Derive the expression for steady state input & output Noise Power (8) ii) Explain the characteristics of a limit cycle oscillation with respect to the system described by the difference equation y(n) = 0.95 y(n-1) + x(n). Determine dead band of the filter. (8) 3.i) Disscuss in detail the errors resulting from rounding and truncation (6) ii) Explain how reduction of product round-off error is achieved in digital filters (5) iii) Explain the effects of coefficient quantization in FIR filters

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UNIT-V 1. i) Explain sampling rate increase by an integer factor I and derive the input-output relationship in both time and frequency domains. (10) ii) Explain the functional blocks of sub-band coding (6) 2. i) Explain sampling rate decrease by an integer factor D and derive the input-output relationship in both time and frequency domains (10) ii) Explain the functional blocks of Quadrature Mirror Filter (6) 3. i) Explain the multistage implementation of sampling rate conversion with a block diagram (8) ii) Explain the applications of Multi-rate signal Processing (8)