Please include picture with step by step solution Work in MATLAB to the extent p

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Please include picture with step by step solution

Work in MATLAB to the extent possible; the symbolic toolbox can help, among other functions in MATLAB. A HP (high pass) filter has specs Amax = 1.4 dB, Amin = 31 dB, fs = 500 Hz, and fp = 2000 Hz. The minimum Butterworth filter order is 3. Determine the equivalent NLP specs, Verify using the MATLAB COMMAND n=buttord(fs, fp, Amax, Amin, 's') that n = 3 is the minimum order of a LP Butterworth filter given the specs of (a). Compute the 3rd 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., H3dBNLP (s) = H2ndOrd (s) H1slOrd (s) as follows: [z, p, k] = buttap (n) num=real(poly(z) den 1 = real(poly(p(l :2))) den2 = poly(p(3)) Note: this transfer function has 3dB down point at w = 1 rad/s. This does not meet the given design spec for the equivalent NLP filter. Compute the resulting (factored) NLP transfer function by frequency scaling using Note: This new transfer function actually meets the equivalent NLP design spec of Amax at w = 1. Compute the NHP transfer function HNHP (S) = H2NHP (S)H 1NHP (S) = H2NLP

Explanation / Answer

Part a-f

Matlab file with comments: https://drive.google.com/file/d/0BzsApW5yffhsaVl1MWp3UlN4a1U/edit?usp=sharing

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