Question

Consider a system defined by the input-output relationship given below: y(t) = x(t)x(t-2) a) Is the...

Consider a system defined by the input-output relationship given below:

y(t) = x(t)x(t-2)

a) Is the system memoryless? Why?

b) Is the system stable? Why?

c) Is the system causal? Why?

d) Is the system invertible? Show why?

e) Find the impulse response of the system.

PLEASE ANSWER ALL QUESTIONS!

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