Global CMA error surface characteristics, source statistic effects: polytopes and manifolds

Author

LeBlanc, James P. ; Johnson, C.R.

Author_Institution

New Mexico State Univ., Las Cruces, NM

Volume

1

fYear

1997

fDate

2-4 Jul 1997

Firstpage

131

Abstract

This work focuses on gaining insight to CMA behavior through identification of the global properties of CMA stationary point locations due to source statistics (distributions and temporal correlation). The CMA error function under source correlation effects is viewed as a deformation of the i.i.d. CMA error surface. As deformations are the realm of topology, we look at some of the topological aspects connected with CMA source correlation. Some general characteristics of CMA under i.i.d. source are presented, noting relations to Morse theory, polytopes, and Euler characteristics

Keywords

adaptive equalisers; correlation methods; error statistics; parameter estimation; telecommunication channels; CMA error function; CMA stationary point locations; Euler characteristics; Morse theory; adaptive equalisers; channel; constant modulus algorithm; deformation; distributions; global CMA error surface characteristics; global properties; i.i.d. identification; intersymbol interference; manifolds; polytopes; signal estimation; source correlation; source statistic effects; source statistics; temporal correlation; topology; Baseband; Blind equalizers; Cost function; Error analysis; Estimation; Intersymbol interference; Manifolds; Statistical distributions; Tiles; Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Proceedings, 1997. DSP 97., 1997 13th International Conference on

Conference_Location

Santorini

Print_ISBN

0-7803-4137-6

Type

conf

DOI

10.1109/ICDSP.1997.627990

Filename

627990