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If NB and NC are the orders of the Butterworth and Chebyshev filters respectively to meet the same frequency specifications, then which of the following relation is true?(a) NC=NB(b) NCNB(d) Cannot be determinedThis question was addressed to me in examination.My doubt stems from Chebyshev Filters topic in chapter Digital Filters Design of Digital Signal Processing

Answer»

The correct CHOICE is (b) NC
Explanation: The equi-ripple property of the chebyshev filter YIELDS a narrower transition band compared with that obtained when the magnitude response is monotone. As a consequence of this, the order of a chebyshev filter needed to ACHIEVE the GIVEN frequency DOMAIN specifications is usually lower than that of a Butterworth filter.



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