The magnitude response of an analog Butterworth filter is defined as |H(j52) = 1+ (a) Find...
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The magnitude response of an analog Butterworth filter is defined as |H(j52) = 1+ (a) Find the physical meaning of 2. (b) Let = √√2 and N=2. Find the analog Butterworth filter, H(s). (c) Find the frequency at the stop band 2, with the minimum attenuation of 60 dB. (d) Using the bilinear transform s 2(1-z T1+z¹ Ω 22 2N to get the corresponding digital filter, find the relation of analog frequency, 2, and the digital frequency, @. (e) Using the results of parts (c) and (d), find 7 such that the stop band of the digital filter is 7/2. (f) Verify the above by computer simulation. The magnitude response of an analog Butterworth filter is defined as |H(j52) = 1+ (a) Find the physical meaning of 2. (b) Let = √√2 and N=2. Find the analog Butterworth filter, H(s). (c) Find the frequency at the stop band 2, with the minimum attenuation of 60 dB. (d) Using the bilinear transform s 2(1-z T1+z¹ Ω 22 2N to get the corresponding digital filter, find the relation of analog frequency, 2, and the digital frequency, @. (e) Using the results of parts (c) and (d), find 7 such that the stop band of the digital filter is 7/2. (f) Verify the above by computer simulation.
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a Q is the quality factor of the filter It describes the damping of the filters response and is rela... View the full answer
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