Let g (t) = p (t) * p (t), where * denotes convolution and p (t) = u (t) − u (t − 1) with u (t) being the unit step function.
An Amplitude Modulated signal is given as xAM (t) = 100 (p (t) + 0.5 g (t)) cos $\omega_0 t$ in the interval 0 $\le$ t $\le$ 1. One set of possible values of the modulating signal and modulation index would be
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