What is the magnitude frequency response of a Butterworth filter of order N and cutoff frequency ΩC?
(a) \(\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}\)
(b) \(1+(\frac{Ω}{Ω_C})^{2N}\)
(c) \(\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}\)
(d) None of the mentioned
This question was posed to me by my college professor while I was bunking the class.
My doubt stems from Butterworth Filters topic in section Digital Filters Design of Digital Signal Processing