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Problem 2. For y=x[n]-2x[n-11+x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. (b) What are h[n] and its Fourier transform?

Problem 2. For y=x[n]-2x[n-11+x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. (b) What are h[n] and its Fourier transform?

Introductory Circuit Analysis (13th Edition)
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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Problem 2. For y=x[n]-2x[n-1]±x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. e (b) What are h[n] and its Fourier transform? (c) Sketch the magnitude of the frequency response function. e (d) Write a Matlab program to obtain the H(jw). Compare the theoretical and experimental H(w) both in amplitude and in phase. e (e) For an input function x[n]=2sin(2 n/2)+3*cos(2 n/8), predict its output based on theoretical Hjw). In Matlab, obtain output y[n] and compare Matlab output with your theoretical prediction." kf) What is the expected auto-correlation coefficient for y at lags -3 to 3. if x is a random sequence. Verify it in Matlab.
Transcribed Image Text:Problem 2. For y=x[n]-2x[n-1]±x[n-2]e (a) Derive the frequency response function in theory by doing a z transform to the time domain equation. Express the result in polar form. e (b) What are h[n] and its Fourier transform? (c) Sketch the magnitude of the frequency response function. e (d) Write a Matlab program to obtain the H(jw). Compare the theoretical and experimental H(w) both in amplitude and in phase. e (e) For an input function x[n]=2sin(2 n/2)+3*cos(2 n/8), predict its output based on theoretical Hjw). In Matlab, obtain output y[n] and compare Matlab output with your theoretical prediction." kf) What is the expected auto-correlation coefficient for y at lags -3 to 3. if x is a random sequence. Verify it in Matlab.
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