Question

Determine if the system ?[?]=sin⁡(0.2?∙?[?])is (1) linear, (2) time-invariant.

Answer 1

Given system

?[?]=sin⁡(0.2?∙?[?])

1) Linear

For input x₁[n] output is  

For input x₂[n] output is

For input x₁[n] + x₂[n] , output is   

So system is non-linear.

2) Time - variant

for delay in input for n_o output will be  

for delay in output by no input will be  

Both are equal, so the system is time invariant system.

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