Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation The input to this system is H₂(e) = {1; 1, || < 0.5€, and the second system is described by the equation 0, 0.5ml <7, y[n] Figure P2.53-1 y[n] = w[n] - w[n 1]. x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.
Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1. LTI system #1 LTI system #2 w[n] The first system is described by the equation The input to this system is H₂(e) = {1; 1, || < 0.5€, and the second system is described by the equation 0, 0.5ml <7, y[n] Figure P2.53-1 y[n] = w[n] - w[n 1]. x[n] = cos(0.67n) +38[n- 5] +2. Determine the output y[n]. With careful thought, you will be able to use the properties of LTI systems to write down the answer by inspection.
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Author:Robert L. Boylestad
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![Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1.
LTI system
#1
LTI system
#2
w[n]
The first system is described by the equation
H₂(ei) = {1;
1,
and the second system is described by the equation
The input to this system is
|| < 0.5€,
0, 0.5 < 1,
y[n] = w[n] - w[n 1].
y[n] Figure P2.53-1
-
x[n] = cos(0.67n) +38[n- 5] +2.
Determine the output y[n]. With careful thought, you will be able to use the properties of
LTI systems to write down the answer by inspection.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61bd648f-a198-4096-9f99-76f87b8c3430%2F1dd8edf6-43bd-4933-897a-deda742234ca%2Fnawibcb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the cascade of LTI discrete-time systems shown in Figure P2.53-1.
LTI system
#1
LTI system
#2
w[n]
The first system is described by the equation
H₂(ei) = {1;
1,
and the second system is described by the equation
The input to this system is
|| < 0.5€,
0, 0.5 < 1,
y[n] = w[n] - w[n 1].
y[n] Figure P2.53-1
-
x[n] = cos(0.67n) +38[n- 5] +2.
Determine the output y[n]. With careful thought, you will be able to use the properties of
LTI systems to write down the answer by inspection.
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