3) Impulse response of an FIR and LTI system with linear phase is given as: h(n)={-1, 1/2, -2, 1/2, -1}, n=0,1,2,3,4. a) Calculate the frequency response of the system using DFT. Write the magnitude response, phase response and the group delay of the system. b) Let h'(n)={-1, 1/2, -2, 1/2, -1, 0} signal be the periodic version of h(n) with period N=6. Find DFS coefficients of h'(n). Find and compare the computational loads of DFT and FFT algorithms. (Computational load for DFT is N2,and for FFT is NlogaN.) c) The input signal x(n)={-1, 2} is applied to the system in (a). Find the 5 points circular convolution of x(n) and h(n) in time domain: c(n) = x(n) *s h(n) d) Now, calculate the output of the system, y(n), firstly with linear convolution: yı(n) = x(n) * h(n), then calculate the output with 6 points in time domain: yz(n) = x(n) *6 h(n). Compare the results.

3) Impulse response of an FIR and LTI system with linear phase is given as: h(n)={-1, 1/2, -2, 1/2, -1}, n=0,1,2,3,4. a) Calculate the frequency response of the system using DFT. Write the magnitude response, phase response and the group delay of the system. b) Let h'(n)={-1, 1/2, -2, 1/2, -1, 0} signal be the periodic version of h(n) with period N=6. Find DFS coefficients of h'(n). Find and compare the computational loads of DFT and FFT algorithms. (Computational load for DFT is N2,and for FFT is NlogaN.) c) The input signal x(n)={-1, 2} is applied to the system in (a). Find the 5 points circular convolution of x(n) and h(n) in time domain: c(n) = x(n) s h(n) d) Now, calculate the output of the system, y(n), firstly with linear convolution: yı(n) = x(n) h(n), then calculate the output with 6 points in time domain: yz(n) = x(n) *6 h(n). Compare the results.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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