(Solution) - a Let the modulated wave s t in Problem 2 42 -(2025 Original AI-Free Solution)

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Figure shows the block diagram of a zero-crossing detector for demodulating an FM signal, its consist of a limiter, a pulse generator for producing a short pulse at each zero-crossing of the input, and a low-pass filter for extracting the modulating wave.
(a) Show that the instantaneous frequency of the input FM signals is proportional to the number of zero crossings in the time interval t ? (T1/2) to t + (T1/2), divided by T1, Assume that the modulating is essentially constant during this time interval.
(b) Illustrate the operation of this demodulator, using the saw-tooth wave of Figure as the modulatingwave.