x[n]andh₁ [n]h₂[n]h[n]Figure 1▼+→y[n]A digital system consists of the input signal, x[n], system impulse response, h[n], andthe output signal, y[n] as shown in Figure 1. Givenh₁[n] = 28[n] + [n - 2]h₂[n] = u[n] + r[n] − 2r[n − 1] + r[n − 2] − u[n − 3].By assuming that the input signal, x[n] is = 2,0,0,0 b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.

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Answered: b) Calculate autocorrelation, rhh [n]…

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b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

x[n]
and
h₁ [n]
h₂[n]
h[n]
Figure 1
▼+
→y[n]
A digital system consists of the input signal, x[n], system impulse response, h[n], and
the output signal, y[n] as shown in Figure 1. Given
h₁[n] = 28[n] + [n - 2]
h₂[n] = u[n] + r[n] − 2r[n − 1] + r[n − 2] − u[n − 3].
By assuming that the input signal, x[n] is = 2,0,0,0

b) Calculate autocorrelation, rhh [n] and cross-correlation, rxh [n] of the system above.

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