Express the following sampled signals using a sum of weighted impulses (delta functions). If the weights are complex valued (not purely real), then express the weights in polar form with the angle in degrees. (You can use the “summation” symbol: Σ and specify limits of the summation.)
Express the following sampled signals using a sum of weighted impulses (delta functions). If the weights are complex valued (not purely real), then express the weights in polar form with the angle in degrees. (You can use the “summation” symbol: Σ and specify limits of the summation.)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Express the following sampled signals using
a sum of weighted impulses (delta functions). If the
weights are complex valued (not purely real), then
express the weights in polar form with the angle in
degrees. (You can use the “summation” symbol: Σ
and specify limits of the summation.)
![a.)
fa[n] = {
b.)
fi[n] = {
c.)
d.)
e.)
= {
fe[n] =
fa[n]
=
cos(0.125mm - 30°)
0
cos(0.125mm -30°)
0
(-j2 exp (j0.25π))"
0
{
fe[n] =
=
n-1
( √/2₂2 + √2/₂2) ²
0
{ (4)
1+
0
1-n
for n ≤2
otherwise
for 5 ≤ n ≤ 1
otherwise
for n0
otherwise
for n ≥-3
otherwise
for n ≥ 4
otherwise](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb989860-4d1c-4fb5-9e6b-42a4528dce9c%2Ff01b61d8-e364-4147-b571-69de258e6fc7%2Fxg3clpe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a.)
fa[n] = {
b.)
fi[n] = {
c.)
d.)
e.)
= {
fe[n] =
fa[n]
=
cos(0.125mm - 30°)
0
cos(0.125mm -30°)
0
(-j2 exp (j0.25π))"
0
{
fe[n] =
=
n-1
( √/2₂2 + √2/₂2) ²
0
{ (4)
1+
0
1-n
for n ≤2
otherwise
for 5 ≤ n ≤ 1
otherwise
for n0
otherwise
for n ≥-3
otherwise
for n ≥ 4
otherwise
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