Polyphase signals in additive and multiplicative noise: CRLB and HOS

Abstract

We derive closed-form expressions for the large sample CRLB for the estimates of the parameters of a multi-component polyphase signal observed in additive and multiplicative white Gaussian noise. In the absence of additive noise, perfect estimation may be possible (i.e., CRLB is 0) under some conditions. Extensions to the non-Gaussian and complex-valued cases are also given. The performance of some HOS-based estimators is analyzed.<>