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## Q. 1.1.11

The phase response of a pass band waveform at the receiver is given by $\phi(f)=-2 \pi a\left(f-f_{c}\right)-2 p \beta f$ where $f_{ c }$ is the centre frequency, and a and b are positive constants. The actual signal propagation delay from the transmittance to receiver is

(a) $\frac{a-\beta}{a+\beta}$                                          (b) $\frac{a \beta}{a+\beta}$

(c) α                                                        (d) β

## Verified Solution

Group delay is given by

$=\frac{-1}{2 \pi} \frac{d \phi}{d f}=\frac{-1}{2 \pi}[-2 \pi \alpha]$

Group delay = α

Hence, the correct option is (c).