CGHA for principal component extraction in the complex domain

Author

Zhang, Yanwu ; Ma, Yuanliang

Author_Institution

Dept. of Ocean Eng., MIT, Cambridge, MA, USA

Volume

8

Issue

5

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1031

Lastpage

1036

Abstract

Principal component extraction is an efficient statistical tool which is applied to data compression, feature extraction, signal processing, etc. Representative algorithms in the literature can only handle real data. However, in many scenarios such as sensor array signal processing, complex data are encountered. In this paper, the complex domain generalized Hebbian algorithm (CGHA) is presented for complex principal component extraction. It extends the real domain generalized Hebbian algorithm (GHA) proposed by Sanger (1992). Convergence of CGHA is analyzed. Like GHA, CGHA can be implemented by a single-layer linear neural network with simple computation. An example is given where CGHA is utilized in direction-of-arrival estimation of multiple narrowband plane waves received by a sensor array

Keywords

Hebbian learning; convergence; direction-of-arrival estimation; eigenvalues and eigenfunctions; neural nets; statistical analysis; complex domain; complex domain generalized Hebbian algorithm; convergence; direction-of-arrival estimation; eigenvalues; linear neural network; narrowband plane waves; principal component extraction; sensor array; signal processing; Array signal processing; Computer networks; Convergence; Data compression; Data mining; Direction of arrival estimation; Feature extraction; Neural networks; Sensor arrays; Signal processing algorithms;

fLanguage

English

Journal_Title

Neural Networks, IEEE Transactions on

Publisher

ieee

ISSN

1045-9227

Type

jour

DOI

10.1109/72.623205

Filename

623205