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# Consider a discrete-time system that is linear (but not necessarily time-invariant), and where: - if the...

Consider a discrete-time system that is linear (but not necessarily time-invariant), and where:

- if the input x[n] is even, then the output is y[n]= x[n-1]

- if the input x[n] is odd, then the output y[n]= x [n=1]

Find the ouput of this system if the inpus is (a) δ [n] (b) u[n]. (Do not use la place transform)

Hint: if a signal is neither even nor odd, then you can write it as a sum of an even signal and an odd signal.

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