Computing the average symbol error probability of the MPSK system having quadrature error

Abstract

When quadrature en-or exists, the shape of the M-ary phase shift keying (MPSK) signal constellation becomes skewed elliptic Each MPSK symbol takes on a different symbol error probability (SEP) value The analytical results presented thus far have been derived from studies which examined the SEP problem assuming that the SEP of each MPSK symbol is equally likely, therefore, those results should not be treated as offering a complete solution. In this letter we present a new and more complete solution to the SEP problem of MPSK by relaxing the above assumption and finding the expressions for the average as well as individual SEP in the presence of quadrature error.