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If the discrimination factor ‘d’ and the selectivity factor ‘k’ of a chebyshev I filter are 0.077 and 0.769 respectively, then what is the order of the filter?(a) 2(b) 5(c) 4(d) 3This question was addressed to me in an internship interview.I'd like to ask this question from Chebyshev Filters in portion Digital Filters Design of Digital Signal Processing

Answer»

Correct choice is (b) 5

To explain: We know that the ORDER of a chebyshev-I filter is given by the equation,

N=cosh^-1(1/d)/cosh^-1(1/k)=4.3

Rounding off to the next large INTEGER, we GET N=5.



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