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The filter designs which are formulated using chebyshev approximating problem have ripples in?

(a) Pass band

(b) Stop band

(c) Pass & Stop band

(d) Restart band

The question was asked in final exam.

My enquiry is from Design of Optimum Equi Ripple Linear Phase FIR Filters in division Digital Filters Design of Digital Signal Processing

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The correct option is (c) Pass & Stop band

Explanation: The chebyshev approximation problem is viewed as an optimum design criterion on the sense that the weighted approximation error between the desired frequency response and the actual frequency response is spread evenly across the pass band and evenly across the stop band of the filter minimizing the maximum error. The resulting filter designs have ripples in both pass band and stop band.

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