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(a) Suppose T is a time invariant (LTI) system with frequency response H(ed) = 2 , if > | 2 4 . Find the impulse

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(a) Suppose T is a time invariant (LTI) system with frequency response H(ed) = 2 , if > | 2 4 . Find the impulse response of the system. (b) Determine the output of the system defined in (a) when the signal input is given by In = sin -sin n (c) Find the inverse of the following discrete time fourier transform (DTFT) X(ed) = sin(A)cos(3A) + cos(X)

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