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1. Write a short notes on Time and Frequency domain input-output relationship of an LTI system. (Dec 2013). 2. An LTI system is characterized by its impulse response h(n) = (1/2) n u(n). Determine the spectrum and energy density spectrum of the output signal when the system is excited by the signal x(n) =(1/4) n u(n). (Dec 2013). 3. Discuss the procedure of computing linear convolution using Over-lap add method. (Dec 2013). 4. Perform linear convolution of the two sequences x(n) = {1, 2, 3, -1, 2,-3,4,5,6} and h(n)={2,1,-1} using Over-lap add method. (Dec 2013). 5. How the computational speed of FET algorithm has been improved over DFT. (Dec 2013). 6. Give the general procedure of computing FFT using DIF algorithm and develop the basic butterfly structure and necessary equations. (Dec 2013). 7. Explain briefly the frequency response of LTI system. (Dec 2013). 8. Discuss direct form-I and II IIR realization structures in detail with necessary flow graphs. (Dec 2013). 9. List out the merits and demerits of Butterworth and Chebyshev filter approximation techniques. (Dec 2013, May 2012).

Yojana Mam

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1. Write a short notes on Time and Frequency domain input-output relationship of an LTI system. (Dec 2013).2. An LTI system is characterized by its impulse response h(n) = (1/2)n u(n). Determine the spectrum and energy density spectrum of the output signal when the system is excited by the signal x(n) =(1/4)n u(n). (Dec 2013).3. Discuss the procedure of computing linear convolution using Over-lap add method. (Dec 2013).4. Perform linear convolution of the two sequences x(n) = {1, 2, 3, -1, 2,-3,4,5,6} and h(n)={2,1,-1} using Over-lap add method. (Dec 2013).5. How the computational speed of FET algorithm has been improved over DFT. (Dec 2013).6. Give the general procedure of computing FFT using DIF algorithm and develop the basic butterfly structure and necessary equations. (Dec 2013).7. Explain briefly the frequency response of LTI system. (Dec 2013).8. Discuss direct form-I and II IIR realization structures in detail with necessary flow graphs. (Dec 2013).9. List out the merits and demerits of Butterworth and Chebyshev filter approximation techniques. (Dec 2013, May 2012).10. Prove that the relationship between analog () and digital () frequency in bilinear transformation is given by = (2/T) Tan (/2). (Dec 2013).11. Compare various windowing techniques with respect to side lobes and beam width. (Dec 2013).12. Design an FIR digital high pass filter using of digital systems with different sampling rates with a neat block diagram. (Dec 2013).13. Discuss the process of interpolation by a factor I with a neat block diagram. (Dec 2013).14. Explain the process of interfacing of digital systems with different sampling rates with a neat block diagram. (Dec 2013).15. Discuss quantization errors occurring in the computation of DFT. (Dec 2013).16. What are limit cycles and explain the types of it and also give their remedies. (Dec 2013).17. Determine the impulse and unit step response of the systems described by the following difference equation. y(n) = 0.6Y (n-1)-0.008(n-2)+x(n). (June 2013).18. State and prove circular convolution property of DFT. (June 2013).19. Perform linear convolution of the two sequences x(n) ={1,-1,2,-2,3,-3,4,-4} and h(n)={-1,1} using over-lap add method. (June 2013).20. How the computational complexity is reduced in FFT over DFT. (June 2013).21. Find the four point DFT of the sequence x(n) =(-1)n using DIF-FFT. (June 2013).22. Compare direct form-I and direct form-II structures with respect to hardware requirements. (June 2013).23. Obtain the parallel and cascade realization structures for the system function given by H(Z)=(1+1/4Z-1)/(1+1/2Z-1)(1+1/2Z-1+1/4Z-2). (June 2013).24. What is bilinear transformation and sketch the mapping of S-plane into Z-plane in bilinear transformation. (June 2013,Dec 2012).25. Explain how to convert an analog filter transfer function into digital filter transfer function using bilinear transformation. (June 2013).26. Design an FIR digital high pass filter using Hamming window whose cutoff frequency is 1.2 rad/s and length of window N=5. Compare the same using rectangular window .Draw the frequency response curve for both the cases. (June 2013).27. Discuss the sampling rate conversion by a factor I/D. (June 2013).28. A sequence x(n) is up sampled by I=2, it passes through an LTI system H1(Z), and then down sampled by D=2. Can we replace this process with a single LTI system H2(Z)? If yes, determine the system function of this system. (June 2013).29. Discuss the effects due to finite word length in direct form-I and II structures. (June 2013).30. What is meant by over flow error and how it can be avoided? (June 2013).31. Derive the necessary and sufficient condition for the system to be stable and discuss the importance of stable system. (Dec 2012).32. Define an LTI system and derive the expression for the output response of an LTI system whose input sequence is x(n) and impulse function of the system is h(n). (Dec 2012).33. Define DFT and IDFT and state all properties of DFT. (Dec 2012).34. Determine the response of the system whose input x(n) and impulse response h(n) are given by x(n)={1,2} and h(n)={1,2} using DFT and IDFT. (Dec 2012).35. Discuss Radix-2 algorithm in detail. (Dec 2012).36. Compute 8-point DFT of the given sequence x(n) ={1,2,1,2,1,2,1,2} using DIF-FFT algorithm. (Dec 2012).37. What are the various building blocks required in realization of digital systems. (Dec 2012).38. Discuss parallel and cascade realization structures and implement them for the transfer function given by H(Z)=(0.28Z2+0.319Z+0.04)/(0.5z3+0.3Z2+0.17Z-0.2). (Dec 2012).39. Discuss the problems encountered in design of digital filter using impulse invariant and bilinear transformation techniques. (Dec 2012).40. What are the desirable features of the window functions and explain the effects of it. (Dec 2012).41. Design an FIR digital band pass filter using hanning window whose upper and lower cut off frequencies are 4 and 5 rad/s and lengh of window N=9.Realize the filter using linear phase realization structure. (Dec 2012). 42. What is meant by multirate signal processing? What are the applications of it? (Dec 2012).43. Discuss the process of decimation by a factor D and hence explain how the aliasing effect can be avoided. (Dec 2012). 44. Define limit cycles and discuss its types. (Dec 2012).45. Discuss finite word lengh effects of implementation of FFT algorithm. (Dec 2012).46. Give the differences between analog and digital system. (May 2012).47. Give the block diagram of analog signal processing and compare with digital signal processing system and list out the applications of each. (May 2012).48. Define DFT and IDFT. Prove circular convolution, circular correlation and Time reversal properties of DFT. (May 2012).49. Find the IDFT of the sequence X (K) = { 2,2-3j,4,2+3j }.(May 2012).50. Design a digital Butterworth LPF using Bilinear transformation technique for the following specifications 0.07|H(w)|1;0w0.2 |H(w)|0.08;0.4w. (May 2012). 51. Compare DIT and DIF FFT algorithms. (May 2012).52. Develop the signal flow graph in computing 16-point FFT using DIT-FFT algorithm. (May 2012).53. Define phase delay and group delay. (May 2012).54. The following transfer function characterizes an FIR filter (M=11). Determine the magnitude response and show that the phase and group delays are constant. H(Z)=-n. (May 2012).55. Define frequency response, magnitude spectrum, phase spectrum and time delay. (May 2012).56. Determine the frequency response, magnitude response and phase response of the second order system. y(n)+1/2y(n-1)=x(n)-x(n-1). (May 2012).57. Discuss the effect of ADC Quantization noise on signal quality. (May 2012).58. Discuss finite word length effects of implementation of FFT algorithm. (May 2012).59. Design a poly phase filter structure for a sequence x(n)={x(0),x(1),x(2),x(3)} interpolated by a factor 3 and consider the filter length N=9. (May 2012).60. Explain the process of performing sub band coding for speech signals. (May 2012).