Consider the following causal difference equation, which operates at a sample rate of 8 kHz: 5 3 y[n] − ² y[n − 1] + ²y[n − 2] = {x[n] - a) Find the system transfer function H(z)= Y(z) X(z) b) Plot the system's poles and zeros in the complex z-plane. Is the system stable? c) Determine the frequency response H(w) = H(z = ejw) for this system. d) Plot the magnitude and phase of the system's frequency response H(w). The frequency axis should be labeled in Hz. How would you characterize this system? e) Find a closed form expression for the system impulse response h[n]. Plot h[n] for n = 0:20.
Consider the following causal difference equation, which operates at a sample rate of 8 kHz: 5 3 y[n] − ² y[n − 1] + ²y[n − 2] = {x[n] - a) Find the system transfer function H(z)= Y(z) X(z) b) Plot the system's poles and zeros in the complex z-plane. Is the system stable? c) Determine the frequency response H(w) = H(z = ejw) for this system. d) Plot the magnitude and phase of the system's frequency response H(w). The frequency axis should be labeled in Hz. How would you characterize this system? e) Find a closed form expression for the system impulse response h[n]. Plot h[n] for n = 0:20.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter16: Inductance In Ac Circuits
Section: Chapter Questions
Problem 1PP: Inductive Circuits Fill in all the missing values. Refer to the following formulas:...
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Please answer parts D and E. Thank you!!
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