The input to a channel is a bandpass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by
$$y\left( t \right) = \left( {{1 \over {100}}} \right)\cos \left( {100t - {{10}^{ - 6}}} \right)\cos \left( {{{10}^6}t - 1.56} \right)$$
The group delay (tg) and the phase delay (tp) in seconds, of the channel are

The input to a channel is a bandpass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by
$$y\left( t \right) = \left( {{1 \over {100}}} \right)\cos \left( {100t - {{10}^{ - 6}}} \right)\cos \left( {{{10}^6}t - 1.56} \right)$$
The group delay (tg) and the phase delay (tp) in seconds, of the channel are Correct Answer t<sub>g</sub> = 10<sup>8</sup>, t<sub>p</sub> = 1.56

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The complex envelope of the bandpass signal $$x\left( t \right) = \sqrt 2 \left( {{{\sin \left( {{{\pi t} \over 5}} \right)} \over {{{\pi t} \over 5}}}} \right)\sin \left( {\pi t - {\pi \over 4}} \right),$$     centered about $$f = {1 \over 2}Hz,$$   is