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The error function E(ω) does not alternate in sign between two successive extremal frequencies.

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The error function E(ω) does not alternate in sign between two successive extremal frequencies.

(a) True

(b) False

I had been asked this question in quiz.

My query is from Design of Optimum Equi Ripple Linear Phase FIR Filters topic in chapter Digital Filters Design of Digital Signal Processing

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Correct option is (b) False

For explanation I would say: The error function E(ω) alternates in sign between two successive extremal frequency, Hence the theorem is called as Alternative theorem.

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