Ganesh Kulkarni the increase or decrease in frequecy with changing modulating amplitude depends on your modulating circuit. It need not always decrease with increase in amplitude. Just saying 😀
Agreed. Increasing sections of the "message" function corresponds to a increase of frequency in the carrier function and vice versa. Which can also be said as... For values of the trigonometric term greater than 0 in the "message" function the frequency of the signal function will be greater than the frequency of the carrier function and vice versa. That is why it is Frequency Modulation and the mathematical representation induces changes to the frequency term of the signal. Had the amplitude of the signal function increased and not the frequency itself during increasing sections of the "message" signal that would have been Amplitude Modulation.