Problem 1. [15 Minutes] Consider the difference equation. y[n] = 3x[n] – 2x[n − 1] – x[n – 4]. a) (2 pt) Plot the impulse response h[n]. b) (1 pt) Is this IIR or FIR? c) (2 pt) Obtain the output sequence y[n] for n = 0:6 if input x[n] is a step sequence. (i.e., first seven output sample values, y[0], y[1], y[2], y[3], y[4], y[5], y[6]).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Problem 1. [15 Minutes] Consider the difference equation.
y[n] = 3x[n] – 2x[n − 1] – x[n – 4].
a) (2 pt) Plot the impulse response h[n].
b) (1 pt) Is this IIR or FIR?
c) (2 pt) Obtain the output sequence y[n] for n = 0:6 if input x[n] is a step sequence.
(i.e., first seven output sample values, y[0], y[1], y[2], y[3], y[4], y[5], y[6]).
Transcribed Image Text:Problem 1. [15 Minutes] Consider the difference equation. y[n] = 3x[n] – 2x[n − 1] – x[n – 4]. a) (2 pt) Plot the impulse response h[n]. b) (1 pt) Is this IIR or FIR? c) (2 pt) Obtain the output sequence y[n] for n = 0:6 if input x[n] is a step sequence. (i.e., first seven output sample values, y[0], y[1], y[2], y[3], y[4], y[5], y[6]).
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