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As the value of the frequency Ω tends to ∞, then |H(jΩ)| tends to ____________(a) 0(b) 1(c) ∞(d) None of the mentionedThe question was posed to me during an interview.My question comes from Butterworth Filters topic in division Digital Filters Design of Digital Signal Processing

Answer» RIGHT answer is (a) 0

For explanation I would say: We know that the MAGNITUDE FREQUENCY response of a Butterworth filter of order N is given by the expression

|H(jΩ)|=\(\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}\)

In the above equation, if Ω→∞ then |H(jΩ)|→0.


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