We can do the correlation and power spectral analysis of such signals in the usual manner. However, for analysis of nonlinear operations like the multiplication with a random process, the following trigonometric representation is useful.

Rice's representation or quadrature representation of a WSS process

       An arbitrary zero-mean WSS process can be represented in terms of the slowly varying components and as follows:

           (1)

where is a center frequency arbitrary chosen in the band . and are respectively called the in-phase and the quadrature-phase components of
        Let us choose a dual process such that