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What is the transfer function of Butterworth low pass filter of order 2?(a) \(\frac{1}{s^2+\sqrt{2} s+1}\)(b) \(\frac{1}{s^2-\sqrt{2} s+1}\)(c) \(s^2-\sqrt{2} s+1\)(d) \(s^2+\sqrt{2} s+1\)The question was asked in a job interview.Query is from Butterworth Filters topic in division Digital Filters Design of Digital Signal Processing

Answer»

Right answer is (a) \(\frac{1}{s^2+\sqrt{2} s+1}\)

Explanation: We know that the BUTTERWORTH polynomial of a 2^nd ORDER low pass filter is

B2(s)=s^2+√2 s+1

Thus the transfer FUNCTION is given as \(\frac{1}{s^2+\sqrt{2} s+1}\).



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