Perform the linear convolution of following sequences using graphical method. x[n]= {1,2,-1} and h[n] = {2,0,-2}
[7 marks]State and prove the following properties of DTFT. (1) Frequency Shifting (2) Differentiation in Frequency
[7 marks]Explain the following properties of a discrete time system with suitable example. (1) Linearity (2) Causality (3) Time invariance
[7 marks]What is ROC in context of Z-transform? List various properties of ROC.
[7 marks]Define DTFT. Using DTFT, find impulse response of a LTI system described11 by difference equationy[n]− y[n−1] = x[n]− x[n−2]24
[7 marks]Find inverse Z-transform of following: X(z) = |z| > 31 (1+ z−1)(1−2z−1)(1−3z−1)2
[7 marks]Write short note on Structures for linear phase FIR systems.
[7 marks]Find Z Transform and ROC of following signals. (1) x[n] = nanu[n] n n11 (2) x[n] = (− ) u[n]−( ) u[−n−1]32
[7 marks]Draw Direct form-Iand Direct form-II structures for the system whose system function is (1−2z−1)(1−4z−1) H(z) =1 z(1− z−1)2
[7 marks]What is circular convolution? How is it different from linear convolution? Determine the circular convolution of two sequences x(n) = cos(πn/2) for n=0,1,2,3 h(n) = 2n for n= 0,1,2
[7 marks]Discuss frequency domain representation of sampling.
[7 marks]With help of block diagram explain architecture of TMS320C6XXX processor.
[7 marks]Define DFT. Show relationship between DFT and DTFT. Prove any one property of DFT.
[7 marks]Describe the decimation in frequency algorithm, with the help of a flow graph, for 8-point DFT computation.
[7 marks]Explain windowing method of designing FIR filter.
[7 marks]Describe the decimation in time algorithm, with the help of a flow graph, for 8- point DFT computation.
[7 marks]List the various methods of designing IIR filter. Explain IIR filter design using Bilinear Transformation method
[7 marks]