how to find equation for steady state

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thanglong

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Dear Friends:

I have a problem that I can't solve it. I need your help.

Problem:
A digital notch filter can be modeled by: y + 0.90y(n-2) = x + x(n-2)
where y represents the filter output and x is its input. the input sequence x = 1+2cos(n*pi/2) is applied to this filter.

find the equation for the steady state output voltage Yss.
verify answer by using matlab.

Thanks a lot for your help.
 

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