The impulse responses of four linear-phase FIR filters h [n], h [n], h3 [n], and h...

 

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The impulse responses of four linear-phase FIR filters h₁ [n], h₂ [n], h3 [n], and h₁ [n] are given below. h₁ [n] = -6[n] -0.58[n 1] +8[n-2] - 8[n-4] +0.58[n - 5] + [n-6] h₂ [n] = 0.48 [n] -0.38 [n 1] +0.58[n-2] -0.38[n- 3] +0.48 [n-4] h3 [n] = 0.58[n] -0.78[n 1] +0.58[n-2] -0.58[n- 3] +0.78[n-4] -0.58 [n- 5] h4[n] = 0.68[n] + 1.58[n 1] + [n-2] + [n- 3] +1.58[n - 4] +0.68[n - 5] - 1) Plot the magnitude and phase responses of each filter ii) Sketch the pole-zero plot of each filter iii) Determine the type of each filter (i.e Type I, Type II, Type III or Type IV). Explain your answer. The impulse responses of four linear-phase FIR filters h₁ [n], h₂ [n], h3 [n], and h₁ [n] are given below. h₁ [n] = -6[n] -0.58[n 1] +8[n-2] - 8[n-4] +0.58[n - 5] + [n-6] h₂ [n] = 0.48 [n] -0.38 [n 1] +0.58[n-2] -0.38[n- 3] +0.48 [n-4] h3 [n] = 0.58[n] -0.78[n 1] +0.58[n-2] -0.58[n- 3] +0.78[n-4] -0.58 [n- 5] h4[n] = 0.68[n] + 1.58[n 1] + [n-2] + [n- 3] +1.58[n - 4] +0.68[n - 5] - 1) Plot the magnitude and phase responses of each filter ii) Sketch the pole-zero plot of each filter iii) Determine the type of each filter (i.e Type I, Type II, Type III or Type IV). Explain your answer.

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i Plot the magnitude and phase responses of each filter To plot the magnitude and phase responses of each filter we need to calculate the frequency re... View the full answer