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The function (1) is usually referred to as the autocorrelation function of the signal x(1), while oy(t) is often called a cross-correlation function. (a) What is the relationship between xy(t) and øy+(t)? (b) Compute the odd part of þx«(1). (c) Suppose that y(t) = x(t + T). Express (t) and yy(1) in terms of (1).

The function (1) is usually referred to as the autocorrelation function of the signal x(1), while oy(t) is often called a cross-correlation function. (a) What is the relationship between xy(t) and øy+(t)? (b) Compute the odd part of þx«(1). (c) Suppose that y(t) = x(t + T). Express (t) and yy(1) in terms of (1).

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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My Signals and Systems question is attached. I don't understand how to figure out parts b and c mostly, but help with a would also be appreciated.  The problem is from Alan V. Oppenheim by Alan S. Willsky. Thank you!

1.37. An important concept in many communications applications is the correlation be- tween two signals. In the problems at the end of Chapter 2, we will have more to say about this topic and will provide some indication of how it is used in practice. For now, we content ourselves with a brief introduction to correlation functions and some of their properties. Let x(t) and y(t) be two signals; then the correlation function is defined as Pay(1) = x(1 + 7)y(7)dr. The function xx(1) is usually referred to as the autocorrelation function of the signal x(t), while pxy(t) is often called a cross-correlation function. (a) What is the relationship between øxy(1) and øy«(1)? (b) Compute the odd part of xx(1). (c) Suppose that y(t) = x(t + T). Express xy(t) and oyy(1) in terms of xx(1). %3D
Transcribed Image Text:1.37. An important concept in many communications applications is the correlation be- tween two signals. In the problems at the end of Chapter 2, we will have more to say about this topic and will provide some indication of how it is used in practice. For now, we content ourselves with a brief introduction to correlation functions and some of their properties. Let x(t) and y(t) be two signals; then the correlation function is defined as Pay(1) = x(1 + 7)y(7)dr. The function xx(1) is usually referred to as the autocorrelation function of the signal x(t), while pxy(t) is often called a cross-correlation function. (a) What is the relationship between øxy(1) and øy«(1)? (b) Compute the odd part of xx(1). (c) Suppose that y(t) = x(t + T). Express xy(t) and oyy(1) in terms of xx(1). %3D
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