Given an LTI system with the transfer function H(jΩ)= e-jΩ (2+2cosΩ), the input signal X(n)=4+3cos(π/3 n-π/2) + 3cos (20π/21n). (Ω=2πF,F=digital frequency)  Find the output y(n) to the input X(n). hint: use superposition to the three components in the input x(n).

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Given an LTI system with the transfer function H(jΩ)= e-jΩ (2+2cosΩ), the input signal X(n)=4+3cos(π/3 n-π/2) + 3cos (20π/21n). (Ω=2πF,F=digital frequency) 

  1. Find the output y(n) to the input X(n). hint: use superposition to the three components in the input x(n).
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