The input-output relationships of two filters are described by (i) y[n] = -0.9 y[n- 1] +...

   

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The input-output relationships of two filters are described by (i) y[n] = -0.9 y[n- 1] + x[n] and (ii) y[n] = 0.9 y[n 1] + x[n]. For both cases, determine expressions for the system function H(z) and draw and label pole- zero plots. (b) Determine explicit expressions for the magnitude and the phase of the frequency response H(en) for both filters. Sketch and label the magnitude responses and state the type (highpass, lowpass, etc.) of each filter. The input-output relationships of two filters are described by (i) y[n] = -0.9 y[n- 1] + x[n] and (ii) y[n] = 0.9 y[n 1] + x[n]. For both cases, determine expressions for the system function H(z) and draw and label pole- zero plots. (b) Determine explicit expressions for the magnitude and the phase of the frequency response H(en) for both filters. Sketch and label the magnitude responses and state the type (highpass, lowpass, etc.) of each filter.

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a Determining the system function Hz and polezero plots for the two filters i yn 09yn1 xn Taking the ... View the full answer