Consider a system with the input/output relationship y(t) = x(t)cos(15πt). (a) Is this system (i) linear,...

Consider a system with the input/output relationship y(t) = x(t)cos(15πt).
(a) Is this system (i) linear, (ii) causal, (iii) stable, (iv) memoryless, (v) time-invariant, and (vi) invertible. Justify each answer with a clear mathematical argument. (b) Find the Fourier Transform Y (f) of y(t) in terms of the transform X(f) of x(t).

Repeat problem (2) for the system with the input-output relationship y(t) =R1 τ=0(1−τ)2x(t−τ)dτ.

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Colby Messinger answered 1 year ago

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