BC:2.3 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: and specify limits of the summation.) a.) b.) fo[n] = { c.) faln] = { fe[n] = = d.) sin (0.55mm + 17º) 0 sin(0.55mm + 17º) 0 fa[n] = 1- { { (-0.25j/(0.5 -0.5j))¹-1 1+j√3, 0 for n≤5 otherwise n-1 for -3≤ n ≤8 otherwise for n ≥ 0 otherwise for n>-5 otherwise
BC:2.3 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: and specify limits of the summation.) a.) b.) fo[n] = { c.) faln] = { fe[n] = = d.) sin (0.55mm + 17º) 0 sin(0.55mm + 17º) 0 fa[n] = 1- { { (-0.25j/(0.5 -0.5j))¹-1 1+j√3, 0 for n≤5 otherwise n-1 for -3≤ n ≤8 otherwise for n ≥ 0 otherwise for n>-5 otherwise
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![BC:2.3 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:
and specify limits of the summation.)
a.)
b.)
c.)
folm] = {
d.)
fa[n]
e.)
=
fe[n]
=
{
fa[n]
sin(0.55mm + 17º)
0
sin(0.55mm + 17º)
0
fe[n] =
n-1
-{ (₁7) ²
0
{
(-0.25j/(0.5 -0.5j))"-1
for n≤5
otherwise
for 3≤n≤ 8
(0.5+√31)1-n
0
otherwise
for n ≥ 0
otherwise
for n > -5
otherwise
for n ≥ 3
otherwise](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028a22e8-f094-478d-95cf-e0334af4f4a7%2F49523b3f-9fbc-42c5-8712-da163d92dc3e%2Fscc3vp_processed.png&w=3840&q=75)
Transcribed Image Text:BC:2.3 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:
and specify limits of the summation.)
a.)
b.)
c.)
folm] = {
d.)
fa[n]
e.)
=
fe[n]
=
{
fa[n]
sin(0.55mm + 17º)
0
sin(0.55mm + 17º)
0
fe[n] =
n-1
-{ (₁7) ²
0
{
(-0.25j/(0.5 -0.5j))"-1
for n≤5
otherwise
for 3≤n≤ 8
(0.5+√31)1-n
0
otherwise
for n ≥ 0
otherwise
for n > -5
otherwise
for n ≥ 3
otherwise
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Step 1: Analysis and Introduction
VIEWStep 2: Express the signal into summation form for the first two signals.
VIEWStep 3: Express the signal into summation form for the signal in part c)
VIEWStep 4: Express the signal into summation form for the signal in part d)
VIEWStep 5: Express the signal into summation form for the signal in part e)
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