Lhe a(t) = 56(t – 7) + 46(t + 5) %3D 6(t) = 86(t + 15) – 86(t – 15) • c(t) = 211(§) d(t) = –5A(†) |3D The II(t), A(t) are the rectangular function and triangular function described in the text book. Find an expression and sketch each of the following (Label all axes, amplitudes and times) (a) x(t) = a(t) * b(t) (give expression in terms of delta functions) (b) y(t) = c(t) * b(t) (give expression in terms of c(t)) (c) z(t) = a(t) * b(t) * c(t) (give expression in terms of c(t)) (d) w(t) = a(t) * (c(t) + d(t)) (give expression in terms of c(t) and d(t)) where * is the convolution operation.
Lhe a(t) = 56(t – 7) + 46(t + 5) %3D 6(t) = 86(t + 15) – 86(t – 15) • c(t) = 211(§) d(t) = –5A(†) |3D The II(t), A(t) are the rectangular function and triangular function described in the text book. Find an expression and sketch each of the following (Label all axes, amplitudes and times) (a) x(t) = a(t) * b(t) (give expression in terms of delta functions) (b) y(t) = c(t) * b(t) (give expression in terms of c(t)) (c) z(t) = a(t) * b(t) * c(t) (give expression in terms of c(t)) (d) w(t) = a(t) * (c(t) + d(t)) (give expression in terms of c(t) and d(t)) where * is the convolution operation.
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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Transcribed Image Text:Consider the following functions:
a(t) = 58(t – 7) + 48(t + 5)
b(t) = 86(t +15) – 86(t – 15)
c(t) = 2II(;)
d(t) = -5A(4)
The II(t), A(t) are the rectangular function and triangular function described in the text book.
Find an expression and sketch each of the following (Label all axes, amplitudes and times)
(a) x(t) = a(t) * b(t) (give expression in terms of delta functions)
(b) y(t) = c(t) * b(t) (give expression in terms of c(t))
(c) z(t) = a(t) * b(t) * c(t) (give expression in terms of c(t))
(d) w(t) = a(t) * (c(t) + d(t)) (give expression in terms of c(t) and d(t))
where * is the convolution operation.
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