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If a system is such that its input X(t) ind its put Y(1) are related by a convolution integral, i.e., if Y(t) = ] h(u) X(t – u) du, then the system is - 00 a linear time-invariant system.

If a system is such that its input X(t) ind its put Y(1) are related by a convolution integral, i.e., if Y(t) = ] h(u) X(t – u) du, then the system is - 00 a linear time-invariant system.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 5CC
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Prove the property

1. If a system is such that its input X(t) and its output Y(t) are related by a 8. convolution integral, i.e., if Y(t) = | h(u) X(t – u) du, then the system is - 80 a linear time-invariant system.
Transcribed Image Text:1. If a system is such that its input X(t) and its output Y(t) are related by a 8. convolution integral, i.e., if Y(t) = | h(u) X(t – u) du, then the system is - 80 a linear time-invariant system.
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