(a) Comutatividade: x[n] * h[n] = h[n] * x[n]. (b) Associatividade: (x[n] * h1[n]) * h2[n] = x[n] * (h1[n] * ha[n]). (c) Distributividade à adição: (x1[n] + x2[n]) * h[n] = (x1[n] * h[n]) + (x2[n] * h[n]). y/n] = x[n] * h[n] =E x[k] h[n – k]. (3.53) k=-00
(a) Comutatividade: x[n] * h[n] = h[n] * x[n]. (b) Associatividade: (x[n] * h1[n]) * h2[n] = x[n] * (h1[n] * ha[n]). (c) Distributividade à adição: (x1[n] + x2[n]) * h[n] = (x1[n] * h[n]) + (x2[n] * h[n]). y/n] = x[n] * h[n] =E x[k] h[n – k]. (3.53) k=-00
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter16: Inductance In Ac Circuits
Section: Chapter Questions
Problem 1PP: Inductive Circuits Fill in all the missing values. Refer to the following formulas:...
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Question
The convolution sum is defined by Equation 3.53. Show that this operation has
the following properties:
(a)commutativity
(b) Associativity
c) Addition distributivity
obs.: see at image attached
![(a) Comutatividade: x[n] * h[n] = h[n] * x[n].
(b) Associatividade: (x[n] * h1[n]) * h2[n] = x[n] * (h1[n] * ha[n]).
(c) Distributividade à adição: (x1[n] + x2[n]) * h[n] = (x1[n] * h[n]) + (x2[n] * h[n]).
y/n] = x[n] * h[n] =E x[k] h[n – k].
(3.53)
k=-00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1e90cb2-d7a3-4312-85f0-874cb48d4dad%2F724a5b8c-34b8-405d-8468-b29129ea1a2a%2Fo2osz7e_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Comutatividade: x[n] * h[n] = h[n] * x[n].
(b) Associatividade: (x[n] * h1[n]) * h2[n] = x[n] * (h1[n] * ha[n]).
(c) Distributividade à adição: (x1[n] + x2[n]) * h[n] = (x1[n] * h[n]) + (x2[n] * h[n]).
y/n] = x[n] * h[n] =E x[k] h[n – k].
(3.53)
k=-00
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