Some heuristic proofs for cyclostationary methods

Tue, 16 Apr 2024 20:00:00 +0800

Carrier offset and baud rate estimation can be done blindly using cyclostationary (cyclic moment) methods, but why?

Introduction

In ReImage, there are options to blindly estimate a signal’s baud rate or residual carrier offset. These require some working knowledge, and only work on some types of modulations like PSK. But why do they work, and how do we explain the peaks we see in the resulting spectra?

First, some terminology. Here I’ll often mention the exponents in a CM XY form: this refers to applying an exponent onto a signal with a total of $X$, where $Y$ of that is the conjugate. These refer to the cyclic moments.

Proof on icyveins7's blog

Some heuristic proofs for cyclostationary methods

Introduction