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Consider the following demodulator:

[itex]s(t)=A_c\cos[2\pi f_ct+\beta \sin(2\pi f_mt)][/itex] , [itex]\beta<1[/itex].

The delay line causes π/2 radians delay in phase. The problem is to find the output signal of the demodulator under the following assumptions:

[itex]\cos(2\pi f_mT)\approx 1[/itex]

[itex]\sin(2\pi f_mT)\approx 2\pi f_mT [/itex]

T is the delay in time caused by the delay line which leads to π/2 radians delay in phase.

It's not a homework, although once it was! What is the simplest way to solve this?

Thanks in advance.

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# A demodulator problem

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