Problem 12-4 Consider a particular LTI system. When the input signal is ri[n] = 3u|n], the corresponding output signal is given by yın] = [n]-38[n-1] - 36[n-2]. (a) Determine the output when the input to the LTI system is 2n = 3u|n] - 6un - 2]. Give your answer as a formula expressing y2|n] in terms of known sequences and give a list values for -∞
Problem 12-4 Consider a particular LTI system. When the input signal is ri[n] = 3u|n], the corresponding output signal is given by yın] = [n]-38[n-1] - 36[n-2]. (a) Determine the output when the input to the LTI system is 2n = 3u|n] - 6un - 2]. Give your answer as a formula expressing y2|n] in terms of known sequences and give a list values for -∞
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![Problem 12-4
Consider a particular LTI system. When the input signal is ri[n] = 3u|n], the corresponding output
signal is given by
yın] = [n]-38[n-1] - 36[n-2].
(a) Determine the output when the input to the LTI system is 2n = 3u|n] - 6un - 2]. Give
your answer as a formula expressing y2|n] in terms of known sequences and give a list values for
-∞<n< ∞.
(b) It is possible to write the unit impulse as the difference of two unit step signals un]. Determine
constants a and b such that the following holds:
S[n]=aun]+bun-1].
(c) Use the result of part (b) to determine the impulse response h[n] of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea56b2d3-976b-48ba-b1de-ef5a4d536379%2F2b4fd092-6f91-4748-978a-30f21e75f84d%2F7bnbcbo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 12-4
Consider a particular LTI system. When the input signal is ri[n] = 3u|n], the corresponding output
signal is given by
yın] = [n]-38[n-1] - 36[n-2].
(a) Determine the output when the input to the LTI system is 2n = 3u|n] - 6un - 2]. Give
your answer as a formula expressing y2|n] in terms of known sequences and give a list values for
-∞<n< ∞.
(b) It is possible to write the unit impulse as the difference of two unit step signals un]. Determine
constants a and b such that the following holds:
S[n]=aun]+bun-1].
(c) Use the result of part (b) to determine the impulse response h[n] of the system.
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