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Problem 2. Suppose the impulse response function h[n] of a DT system is: h[n] = (-−0.5)^u[n]. Determine the transfer function / eigenvalue H(z) of this DT system through its definition: assuming the input signal is the eigenfunction x[n] = z^, and calculate the absolute value and the phase angle of the eigenvalue H(z) at: 1 (a) z = √(1 + j) (Q5, Q6); (b) z = −0.5 + j; (Q7, Q8)

Problem 2. Suppose the impulse response function h[n] of a DT system is: h[n] = (-−0.5)^u[n]. Determine the transfer function / eigenvalue H(z) of this DT system through its definition: assuming the input signal is the eigenfunction x[n] = z^, and calculate the absolute value and the phase angle of the eigenvalue H(z) at: 1 (a) z = √(1 + j) (Q5, Q6); (b) z = −0.5 + j; (Q7, Q8)

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. Suppose the impulse response function h[n] of a DT system is: h[n] = (-−0.5)^u[n]. Determine the transfer function / eigenvalue H(z) of this DT system through its definition: assuming the input signal is the eigenfunction x[n] = z^, and calculate the absolute value and the phase angle of the eigenvalue H(z) at: 1 (a) z = √(1 + j) (Q5, Q6); (b) z = −0.5 + j; (Q7, Q8)
Transcribed Image Text:Problem 2. Suppose the impulse response function h[n] of a DT system is: h[n] = (-−0.5)^u[n]. Determine the transfer function / eigenvalue H(z) of this DT system through its definition: assuming the input signal is the eigenfunction x[n] = z^, and calculate the absolute value and the phase angle of the eigenvalue H(z) at: 1 (a) z = √(1 + j) (Q5, Q6); (b) z = −0.5 + j; (Q7, Q8)
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