Given an LTI  system with the transfer function H(jΩ)= e-jΩ (2+2cosΩ), the input signal X(n)=4+3cos(π/3n-π/2) + 3cos (20π/21n). (Ω=2πF,F=digital frequency) Find and approximately draw |H(Ω)|, the magnitude response of the filter. Find and approximately draw ∠H(Ω), the phase response of the filter.

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

  1. Find and approximately draw |H(Ω)|, the magnitude response of the filter.
  2. Find and approximately draw ∠H(Ω), the phase response of the filter.
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