ABSTRACT
Real world transmitted electrical signals used in active sonar and radar systems, and communication systems, belong to a class of signals known as amplitude-and-angle-modulated carriers. Amplitude-and-angle-modulated carriers are real bandpass signals. One of the main advantages of expressing real bandpass signals in terms of their complex envelopes is that it provides for a simple representation of amplitude-and-angle-modulated carriers, which is very useful for doing analysis. The complex envelope of a signal is required in order to compute its ambiguity function. The chapter uses the definitions and basic relationships to compute the complex envelope, envelope, energy, and time-average power of an amplitude-and-angle-modulated carrier. However, in practical signalprocessing applications, the complex envelope given by can be obtained by passing a real amplitude-and-angle-modulated carrier through a quadrature demodulator, if there are no frequency and phase offsets. The cosine and sine components can then be used to perform amplitude and angle demodulation.
