Autocorrelation function and power spectral density of complex phase modulated signals derived from full response CPM

A class of digital phase-modulated signals called DCPM (digital complex phase-modulated) signals is introduced. In this class, the imaginary part of the phase is obtained from the real part by a linear time-invariant transformation. A method for computing the autocorrelation function (ACF) of DCPM is presented. It is shown that the ACF does not always exist. The power spectral density of DCPM is computed for Hilbert, identity, and zero transforms. It is also shown that DCPM with the Hilbert transform has a suppressed sideband and can yield significant bandwidth savings over zero transform schemes