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Model Question Paper EI 010 602 Digital Signal Processing Part A ...

Model Question Paper EI 010 602 Digital Signal Processing Part A ...

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<strong>Model</strong> <strong>Question</strong> <strong>Paper</strong>SIXTH SEMESTER B.TECH ELECTRONICS & INSTRUMENTATION ENGINEERING<strong>EI</strong> <strong>010</strong> <strong>602</strong> <strong>Digital</strong> <strong>Signal</strong> <strong>Processing</strong><strong>Part</strong> A1. List out any four properties of DFT.2. What is the significance of group delay in LTI system?3. Define quantization error.4. Why impulse invariant method is not preferred in the design of IIR filter other than lowpass filter?5. In what case the resultant of linear convolution and circular convolution will be the same?Explain.(5x3 = 15 marks)<strong>Part</strong> B6. The sequence x[n]= cos(πn/4), -- ∞ < n < ∞ was obtained by sampling a continuoustimesignal x c (t) = cos(Ω 0 t), -- ∞ < t < ∞ at a sampling rate of 1000samples/s. Whatare two possible positive values of Ω 0 that could have resulted in the sequence x[n]?7. Consider a stable linear time –invariant system with input x[n] and output y[n].The inputand output satisfy the difference equationY[n-1] – 10/3 y[n] + y[n+1] = x[n].Find the impulse response h[n] and plot the poles and zeros in the z-plane.8. Obtain the cascade realization of( =) ( − 1)( − 5 + 6)( − 3)( + 6 + 5)( − 6 + 8)9. A continuous time causal system with impulse response h c (t) has system function + () =( + ) + Use impulse invariance to determine H 1 (z) for a discrete-time system such that h 1 [n]=h c (nT).10. Find the N-point DFT of the finite length sequence x[n]. = , 0 ≤ ≤ − 10 , h (5 x 5 =25 marks)<strong>Part</strong> C11. Explain reconstruction of band limited analog signal from it’s samples in time andfrequency domain.OR12. Explain the process of down sampling?13. (a) Determine the group delay for 0 < w < π for the sequence − 1 , 1 ≤ ≤ 5 = 9 − , 5 ≤ ≤ 90 , h(b) A system function is given as(4 marks)


= || > Draw a labelled pole-zero diagram and determine h[n] .OR14. Explain four types of linear phase systems15. A causal linear time invariant system is given1 − =1 − + 1 + (8 marks)Draw the signal flow graphs for implementations of the system in each of the followingforms:(a)Direct form I(b)Direct form II(c)Parallel form using first - and second - order direct form II sectionsOR16. Design a Chebyshev filter with a maximum passband attenuation of 2.5dB at Ω p =20rad/sec and the stop band attenuation of 30dB at Ω s =50 rad/sec.17. Design a digital bandpass Butterworth filter with the following specificationsSampling frequency F= 8KHzPassband attenuation is 2 dB in the pass band 800Hz ≤ f ≤ 1000HzStopband attenuation is 20dB in the stop band 0 ≤ f ≤ 400Hz and 2000Hz ≤ f ≤∞OR18. A discrete time filter with generalized linear phase is to be designed with Kaiser window tomeet the following specifications:|H(e jw )| ≤ 0.01, 0 ≤ |w| ≤ 0.25π0.95 ≤| H(e jw ) |≤ 1.05, 0.35π ≤ |w| ≤ 0.6π| H(e jw ) |≤0.01, 0.65π ≤ |w| ≤ π(a) Determine the minimum length (M+1)of the impulse response and the value of theKaiser window parameter for the filter .(b) What is the delay of the filter?(c) Determine the ideal impulse response h d [n] to which the Kaiser window should beapplied.19. Given the sequences x 1 (n)={2,1,1,2} and x 2 (n)={1,-1,-1,1} . Compute :(a)The circular convolution x 1 (n) © x 2 (n) and(b)The linear convolution using DFT.OR20. Find the DFT of the sequence x[n]=[1,2,3,4,4,3,2,1] using radix-2,DIT-FFT algorithm.(5 x 12 = 60 marks)

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