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a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[n]= (-1/4)"u[n] and initial condition y[-1] = 1. 4.

a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[n]= (-1/4)"u[n] and initial condition y[-1] = 1. 4.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(b.ii) Determine and sketch the step response of this LTI system. X[n] hin] -3 -2 -1 -3 -2 -1 1 2 3 4n Figure 2
Transcribed Image Text:(b.ii) Determine and sketch the step response of this LTI system. X[n] hin] -3 -2 -1 -3 -2 -1 1 2 3 4n Figure 2
4. a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[R]= (-1/4)"u[n] and initial condition y[-1]= 1. b) An LTI system has an impulse response h[n] and input x[n] displayed in Figure 2 below. (b.i) Apply the method of convolution by superposition to find and sketch the convolution output y[n] of the system. (b.ii) Determine and sketch the step response of this LTI system.
Transcribed Image Text:4. a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[R]= (-1/4)"u[n] and initial condition y[-1]= 1. b) An LTI system has an impulse response h[n] and input x[n] displayed in Figure 2 below. (b.i) Apply the method of convolution by superposition to find and sketch the convolution output y[n] of the system. (b.ii) Determine and sketch the step response of this LTI system.
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