2.5. Let 1, 0sns9 0, elsewhere and h[n] = { 1, 0sns N 0, elsewhere x[n] %3D where N s 9 is an integer. Determine the value of N, given that y[n] and = x[n] + h[n]
2.5. Let 1, 0sns9 0, elsewhere and h[n] = { 1, 0sns N 0, elsewhere x[n] %3D where N s 9 is an integer. Determine the value of N, given that y[n] and = x[n] + h[n]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer the questions, clearly
![Dr. Y. KALKAN
2.3. Consider an input x[n] and a unit impulse response h[n] given by
()
n-2
x[n] =
u[n – 2],
h[n] = u[n+ 2].
Determine and plot the output y[n] =
x[n] * h[n].
2.5. Let
[ 1, 0sns9
0, elsewhere
[ 1, 0 sn s N
0, elsewhere
x[n] =
and h[n] =
where N s 9 is an integer. Determine the value of N, given that y[n] = x[n] * h[n]
and
y[4] = 5, y[14] = 0.
2.7. A linear system S has the relationship
y[n] = *[k]g[n – 2k]
k=-0
between its input x[n] and its output y[n], where g[n] = u[n] – u[n - 4].
8[n - 1].
8[n – 2].
(a) Determine y[n] when x[[n]
(b) Determine y[n] when x[n]
(c) Is S LTI?
(d) Determine y[n] when x[n]
%3D
%3D
u[n].
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbef6c05b-8de1-459f-b2bc-ebc3c245fbb1%2F6e4d5af0-918c-4a45-a967-ecb12de2a5b1%2Fripi34a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Dr. Y. KALKAN
2.3. Consider an input x[n] and a unit impulse response h[n] given by
()
n-2
x[n] =
u[n – 2],
h[n] = u[n+ 2].
Determine and plot the output y[n] =
x[n] * h[n].
2.5. Let
[ 1, 0sns9
0, elsewhere
[ 1, 0 sn s N
0, elsewhere
x[n] =
and h[n] =
where N s 9 is an integer. Determine the value of N, given that y[n] = x[n] * h[n]
and
y[4] = 5, y[14] = 0.
2.7. A linear system S has the relationship
y[n] = *[k]g[n – 2k]
k=-0
between its input x[n] and its output y[n], where g[n] = u[n] – u[n - 4].
8[n - 1].
8[n – 2].
(a) Determine y[n] when x[[n]
(b) Determine y[n] when x[n]
(c) Is S LTI?
(d) Determine y[n] when x[n]
%3D
%3D
u[n].
%3D
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