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10.4 - The first order analog low pass filter H(s) = 1500/(s + 1500) must be...

10.4 - The first order analog low pass filter H(s) = 1500/(s + 1500) must be transformed into a digital filter operating with an 8 kHz sampling rate.

a. Prewarp the cut-off frequency for the filter and modify the analog transfer function accordingly.

b. Find the transfer function for the digital filter.

c. Find the difference equation for the filter.

d. Find the frequency response and draw the filter shape.

e. Find the digital filter shape directly from the magnitude |H(?)| of the analog filter, and show that the shape matches the filter shape obtained in (d).

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