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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 |
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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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