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5.8 (a) A pair of signals s(t) and sa(t) have a common duration T. Show that the inner product of this pair of signals is given by s,(t)s,{t)dt = ss where s, and s, are the vector representations of s,(e) and sa(t), respectively. (b) As a followup to part (a), show that (s.(t) - sa(t)*dt = |s - s |2

5.8 (a) A pair of signals s(t) and sa(t) have a common duration T. Show that the inner product of this pair of signals is given by s,(t)s,{t)dt = ss where s, and s, are the vector representations of s,(e) and sa(t), respectively. (b) As a followup to part (a), show that (s.(t) - sa(t)*dt = |s - s |2

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
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5.8 (a) A pair of signals s(t) and sat) have a common duration T. Show that the inner product of this pair of signals is given by | s,(t)s,(t)dt = ss where s, and s, are the vector representations of s,(t) and sz(t), respectively. (b) As a followup to part (a), show that (s(t) - sa(t))*dt = |s, - s || 2
Transcribed Image Text:5.8 (a) A pair of signals s(t) and sat) have a common duration T. Show that the inner product of this pair of signals is given by | s,(t)s,(t)dt = ss where s, and s, are the vector representations of s,(t) and sz(t), respectively. (b) As a followup to part (a), show that (s(t) - sa(t))*dt = |s, - s || 2
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