A linear time-invariant filter is described by the difference equation y[n] = x[n]+x[n-1] x[n - 3]...

  

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A linear time-invariant filter is described by the difference equation y[n] = x[n]+x[n-1] x[n - 3] - x[n 4] (a) Derive a simple expression for H(), the frequency response of this system. (b) Sketch the frequency response (magnitude and phase) versus frequency for -. (c) What is the output if the input is x[n] = cos [0.3(n-2)] - 3 cos[0.2n] A linear time-invariant filter is described by the difference equation y[n] = x[n]+x[n-1] x[n - 3] - x[n 4] (a) Derive a simple expression for H(), the frequency response of this system. (b) Sketch the frequency response (magnitude and phase) versus frequency for -. (c) What is the output if the input is x[n] = cos [0.3(n-2)] - 3 cos[0.2n]