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The phase response of a passband waveform at the receiver is given by $$\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$$

where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the transmitter to receiver is

1. $\frac{\alpha-\beta }{\alpha +\beta } \\$
2. $\frac{\alpha\beta }{\alpha +\beta } \\$
3. $\alpha \\$
4. $\beta$