For this single-tone AM model, overmodulation means . The signed factor becomes negative whenever . On such intervals,The sign reversal is a radian shift of the carrier's wave phase. At each zero of , the wave envelope vanishes and that phase is undefined. The waveform itself is continuous: the formula has not clipped it or created extra spectral lines.
At , sign changes occur at message phases and within each cycle. At the trough , the desired signed factor is , whereas its nonnegative wave envelope is . Ideal envelope recovery followed by subtraction of would give there, rather than the desired message voltage . This is loss of polarity in the detector, not loss of the message from the full modulated signal. Actual transmitter clipping is a separate signal distortion that can generate additional spectral components.
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