Determine the order N of a Butterworth filter for which Amax = 1 dB, s/p = 1.5, and Amin

Chapter 17, Problem 17.6

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QUESTION:

Determine the order N of a Butterworth filter for which Amax = 1 dB, s/p = 1.5, and Amin = 30 dB. What is the actual value of minimum stopband attenuation realized? If Amin is to be exactly 30 dB, to what value can Amax be reduced?

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QUESTION:

Determine the order N of a Butterworth filter for which Amax = 1 dB, s/p = 1.5, and Amin = 30 dB. What is the actual value of minimum stopband attenuation realized? If Amin is to be exactly 30 dB, to what value can Amax be reduced?

ANSWER:

Step 1 of 3

Formula used to find order ‘N’ is given by,

Substitute and in the equation (1)

Next higher interface value of Butterworth filter is

Hence, the order of Butterworth filters is 7.

                                                               

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