DTFT question Find the output signal? need solution

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ahmadaltaan

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DTFT question

x=2cos(0.5n), H(Ω)=(1+2cos(2Ω))exp(-j2Ω). Find the output signal?

I need solution to this problem. Can anyone help me?
 

DTFT question

convert x(t) to X(Ω),multiply with H(Ω) u'll get Y(Ω)

Added after 21 seconds:

is there any problem in solving this?????
 

Re: DTFT question

I know that but I want mathematical solution (step by step).

Thanks
 

DTFT question

ok let me do it,then i'll send u the scaned copy of it
 

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