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A linear phase channel with phase delay Tp and group delay Tg must have ____________

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in Signals and Systems by (1.2m points)
A linear phase channel with phase delay Tp and group delay Tg must have ____________

(a) Tp = Tg = constant

(b) Tp ∝ f and Tg ∝ f

(c) Tp = constant and Tg ∝ f

(d) Tp ∝ f and Tg = constant

I have been asked this question in unit test.

Question is from Trigonometric Fourier Series topic in chapter Fourier Series of Signals and Systems

1 Answer

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Correct choice is (a) Tp = Tg = constant

The explanation is: θ(ω) = -ωt0

Tp = \(-\frac{θ(ω)}{ω}\) = t0

Tg =\(-\frac{d θ(ω)}{dω}\) = t0

∴ Tp = Tg = t0 = constant.

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