HW 2 Questions

HW 2 Questions - ECE 408 HOMEWORK#2(CH 13 1 The transfer...

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ECE 408 HOMEWORK #2 (CH. 13) 1. The transfer function of an analog filter is given by 1000 2 × + = π s s ) s ( H . This filter is transformed to digital filter using bilinear transformation. The sampling rate is f sampling = 8000 Hz. (a) Plot the pole-zero diagram of H(s). (b) Plot the magnitude response |H( ω )| of the analog filter. (c) Plot the phase response H( ω ) of the analog filter. (d) Find the digital poles and zeros and plot the pole-zero diagram. (e) Find the digital filter transfer function H(z) such that H(e j π ) = 1. (f) Plot the magnitude response |H( θ )| of the digital filter. (g) Plot the phase response H( θ ) of the digital filter. 2. The transfer function of an analog filter is given by 1000 2 × + = s s ) s ( H . This filter is transformed to digital filter using matched-z transformation. The sampling rate is f sampling = 8000 Hz. (a) Find the digital poles and zeros and plot the pole-zero diagram. (b) Find the digital filter transfer function H(z) such that H(e

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HW 2 Questions - ECE 408 HOMEWORK#2(CH 13 1 The transfer...

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