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The equivalent baseband representation help us for the simulation of bandpass signals. At this step we need some math. We will consider a carrier modulated in phase and/or amplitude (in the sake of simplicity, Frequency modulation is not considered but it can be related to phase modulation.). Such a modulated signal m(t) and it's complex representation is :

The complex representation is obtained by replacing the cos function by an exponent function. The real signal correspond to the real part of the complex signal .