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The HI(ω) is uniquely determined from HR(ω) through the integral relationship. This integral is called as Continuous Hilbert transform.

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The HI(ω) is uniquely determined from HR(ω) through the integral relationship. This integral is called as Continuous Hilbert transform.

(a) True

(b) False

The question was posed to me by my college professor while I was bunking the class.

This key question is from General Considerations for Design of Digital Filters topic in portion Digital Filters Design of Digital Signal Processing

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Right choice is (b) False

The explanation: If the HI(ω) is uniquely determined from HR(ω) through the integral relationship. This integral is called as discrete Hilbert transform.

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