Find an explicit time domain expression for the output y(t) when the signal r(t) is passed through an LTI system with impulse response h(t) = sinc(12t+3) for the following two scenarios: (a)r(t) = cos(80nt) + 4 sin(90nt +)-3. (b) r(t) = sinc(2t)sinc(5t).
Find an explicit time domain expression for the output y(t) when the signal r(t) is passed through an LTI system with impulse response h(t) = sinc(12t+3) for the following two scenarios: (a)r(t) = cos(80nt) + 4 sin(90nt +)-3. (b) r(t) = sinc(2t)sinc(5t).
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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as of right nowt this is what i have:the cos component .5 e^-jpi/4 δ(f−40)+ .5 e^-jpi/4 δ(f+40). the sin component: .5j e^-jpi/3 δ(f−45)- .5j e^-jpi/3 δ(f+45). the cosntant should be 3δ(f). and i combined it to make:
x(t)= .5 e^-jpi/4 δ(f−40)+ .5 e^-jpi/4 δ(f+40) + .5j e^-jpi/3 δ(f−45)- .5j e^-jpi/3 δ(f+45)- 3δ(f). and the h(t) sinc function should turn into a rect function. then i should convolute x(t) and h(t). please let me know if my approach is correct and show the work with the final answer.

Transcribed Image Text:Find an explicit time domain expression for the output y(t) when the signal z(t)
is passed through an LTI system with impulse response h(t)= sinc(12t+3) for the following two
scenarios:
(a)x(t) = cos(80πt) + 4 sin(90nt +) - 3.
(b) x(t) = sinc(2t)sinc(5t).
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