The input-output equation for an analog averager is let x(t) = e j Ω0t . Since the
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let x(t) = ejΩ0t. Since the system is LTI then the output should be y(t) = ejΩ0t H(jΩ0).
(a) Find the integral for the given input and then compare it with the above equation to find H(jΩ0), the response of the averager at frequency 0.
(b) Find the impulse response h(t), from the input-output equation, and its Laplace transform H(s) to verify that H(jΩ0) obtained above is correct.
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Н. У() пp(1)х л-т т
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a Replacing x e j in the integral for the averager we get where according to the eigenfunction p...View the full answer
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