Suppose we wish to transmit the signal
Using a modular that creates the signal
Determine the largest permissible value of the modulation index m that would allow asynchronous demodulation to be used to recover x(t) from w(t). For this problem, you should assume that the maximum magnitude taken on by a side lobe of a sine function occurs at the instant of time that is exactly halfway between the two zero crossings enclosing the side lobe.
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