Performance Analysis of an EM-Based Blind Source Separation Technique

 

(Scholarly Paper)

 

Simon G. Wood, Jr.

 

MS EE Candidate, ECE Department

 

Advisor: Dr. Peter Paris

 

Thursday August 22, 2002, 1:00 P.M.

 

ST II – 230A Conference Room

 

 

Abstract

 

Source separation had its early start in the area of independent component analysis (ICA) where it is desirable to recover a set of "source signals" from the observation of several mixtures of these signals. Blind source separation is the problem of recovering all of the source signals without using prior information about the channel and/or training sequence. In the context of statistical array processing blind source separation translates to not having any information about the array manifold vector. In the context of communication systems blind source separation translates to not having any a priori knowledge of multipath channel distortion or waveform training sequences.

 

In recent years techniques to exploit the finite alphabet, constant modulus, cyclostationarity and other properties of digitally transmitted waveforms have arisen. This paper addresses the problem of detecting and demodulating direct sequence spread spectrum (DSSS) signals without knowledge or use of the pseudo-noise spreading sequences. An overview and performance analysis of an expectation maximization (EM) technique that exploits the finite alphabet property is presented. The complexity and performance along with subspace mismatch analysis of the EM-based technique is also presented.

 

Source separation has become a hot research topic in such application areas as wireless communications (capacity improvement), speech processing (separating multiple voice conversations), medical diagnosis (separation of a mother's EKG from that of the fetus's EKG) and remote sensing (low probability of intercept communications).