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

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

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