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The absolute error between the desired response ω and the approximation Hr(ω) decreases as ω varies from 0 to 2πfp.

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The absolute error between the desired response ω and the approximation Hr(ω) decreases as ω varies from 0 to 2πfp.

(a) True

(b) False

I have been asked this question during an online exam.

My doubt is from Design of FIR Differentiators in chapter Digital Filters Design of Digital Signal Processing

1 Answer

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Best answer
Right choice is (b) False

Best explanation: We know that the weighting function is

W(ω)=1/ω

in order that the relative ripple in the pass band be a constant. Thus, the absolute error between the desired response ω and the approximation Hr(ω) increases as ω varies from 0 to 2πfp.

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