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Which of the following is true regarding the frequency response of Hilbert transform?

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Which of the following is true regarding the frequency response of Hilbert transform?

(a) Complex

(b) Purely imaginary

(c) Purely real

(d) Zero

The question was asked in my homework.

Origin of the question is Design of Hilbert Transformers in portion Digital Filters Design of Digital Signal Processing

1 Answer

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Best answer
Right option is (b) Purely imaginary

The explanation: Our choice of an anti-symmetric unit sample response is consistent with having a purely imaginary frequency response characteristic.

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