The input-output pair shown as below is given for a stable LTI system: x[n] = 8[n+ 1] + 28[n] + 8[n 1]; - y[n] = -8[n+ 2] - 28[n+ 1] + 28[n 1] + 8[n-2]. - 4 (a) Determine the output yi[n] for input x₁[n] = 8[n 1] + 28[n − 2] + 38[n − 3] + 48[n − 4] + 38[n − 5] + 28[n-6] +8[n-7]. - (b) Determine the impulse response of the system.
The input-output pair shown as below is given for a stable LTI system: x[n] = 8[n+ 1] + 28[n] + 8[n 1]; - y[n] = -8[n+ 2] - 28[n+ 1] + 28[n 1] + 8[n-2]. - 4 (a) Determine the output yi[n] for input x₁[n] = 8[n 1] + 28[n − 2] + 38[n − 3] + 48[n − 4] + 38[n − 5] + 28[n-6] +8[n-7]. - (b) Determine the impulse response of the system.
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![The input-output pair shown as below is given for a stable LTI system:
x[n] = 8[n+ 1] + 28[n] + 8[n − 1];
-
y[n] = -8[n+ 2] - 28[n+ 1] + 28[n 1] + 8[n-2].
4
(a) Determine the output y₁[n] for input
x₁[n] = 8[n − 1] + 28[n − 2] + 38[n − 3] + 48[n − 4] + 38[n − 5] + 28[n-6] + 8[n - 7].
(b) Determine the impulse response of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2291e09-7fcf-4fac-bc31-e34a7ce4842f%2F6115019f-43e8-47be-8711-7334fe19d4f8%2Fx0uq3z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The input-output pair shown as below is given for a stable LTI system:
x[n] = 8[n+ 1] + 28[n] + 8[n − 1];
-
y[n] = -8[n+ 2] - 28[n+ 1] + 28[n 1] + 8[n-2].
4
(a) Determine the output y₁[n] for input
x₁[n] = 8[n − 1] + 28[n − 2] + 38[n − 3] + 48[n − 4] + 38[n − 5] + 28[n-6] + 8[n - 7].
(b) Determine the impulse response of the system.
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