Question: Determine our discussions it is apparent that an LTI system cannot produce frequencies at its output that are different from those applied in its input.

Determine our discussions it is apparent that an LTI system cannot produce frequencies at its output that are different from those applied in its input. Thus, if a system creates “new” frequencies, it must be nonlinear and/or time varying. Determine the frequency content of the outputs of the following systems to the input signal

x(n) = A cosπ/4 n

(a) y(n) = x(2n)

(b) y(n) = x²(n)

(1) x(n ) = cos in + 3 sin ( 3 10 (2) x(n) = 10+5 cos (

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