202_HW_set6 - DUE MONDAY APRIL 6 QUOTE Let each person pass their days in that wherein the skill is greatest Sextus Propertius 57-58 Work in MATLAB

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DUE MONDAY APRIL 6 QUOTE : Let each person pass their days in that wherein the skill is greatest. –Sextus Propertius 57-58. Work in MATLAB to the extent possible. A HP filter has specs Amax = 1 dB, Amin = 35 dB, fs = 800 Hz, and fp = 4000 Hz. The minimum Butterworth filter order is 3. (a) Determine the equivalent NLP specs. (b) Verify that the minimum order Butterworth fitler is 3. (c) Compute the 3 rd order 3dB NLP Butterworth transfer function and write it as the product of two transfer functions, one of which has a second order denominator and the other a first order denominator, i.e., H 3 dBNLP ( s ) = H 2 ndOrder ( s ) H 1 storder ( s ) . (d) Compute the NLP transfer function by frequency scaling using K f = ! c as defined in class: H NLP ( s ) = H 2 NLP ( s ) H 1 NLP ( s ) = H 2 ndOrder s ! c " # \$ % H 1 storder s ! c " # \$ % (e) Compute the NHP transfer function H NHP ( s ) = H 2 NHP ( s ) H 1 NHP ( s ) = H 2 NLP 1 s ! " # \$ % H 1 NLP 1 s ! " # \$ % and provide a frequency response plot of H NHP ( s ) for 0 ! " ! 4

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202_HW_set6 - DUE MONDAY APRIL 6 QUOTE Let each person pass their days in that wherein the skill is greatest Sextus Propertius 57-58 Work in MATLAB

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