Blind PARAFAC Signal Detection for Polarization Sensitive Array

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Research Article Blind PARAFAC Signal Detection for Polarization Sensitive Array Xiaofei Zhang and Dazhuan Xu Electronic Engineering Department, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China Received 27 September 2006; Revised 22 January 2007; Accepted 16 April 2007 Recommended by Nicola Mastronardi This paper links the polarization-sensitive-array signal detection problem to the parallel factor (PARAFAC) model, which is an analysis tool rooted in psychometrics and chemometrics. Exploiting this link, it derives a deterministic PARAFAC signal detection algorithm. The proposed PARAFAC signal detection algorithm fully utilizes the polarization, spatial and temporal diversities, and supports small sample sizes. The PARAFAC algorithm does not require direction-of-arrival (DOA) information and polarization information, so it has blind and robust characteristics. The simulation results reveal that the performance of blind PARAFAC signal detection algorithm for polarization sensitive array is close to nonblind MMSE method, and this algorithm works well in array error condition. Copyright © 2007 X. Zhang and D. Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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INTRODUCTION

Polarization sensitive arrays have some inherent advantages over traditional antenna arrays, since they have the capability of separating signals based on their polarization characteristics, as well as spatial diversity. Intuitively, polarization sensitive antenna arrays will provide significant improvements for signals which have different polarization characteristics. Polarization sensitive arrays are used widely in the communication, radio and navigation [1, 2]. Maximum likelihood signal estimation method for polarization sensitive arrays is proposed in [3]. Filtering performance of polarization sensitive array in completely polarized case is investigated in [4]. The methods mentioned above are nonblind methods, since they require the knowledge of DOA and polarization information. Blind parallel factor (PARAFAC) signal detection algorithm for polarization sensitive array is investigated in this paper. PARAFAC analysis has been first introduced as a data analysis tool in psychometrics, most of the research in the area is conducted in the context of chemometrics [5], spectrophotometric, chromatographic, and flow injection analyses. Harshman [6] developed the PARAFAC model. At the same time, Caroll and Chang [7] introduced the canonical decomposition model, which is essentially identical to PARAFAC. In signal processing field, PARAFAC can be thought of as a generalization of ESPRIT and joint approximate diagonalization ideas [8, 9]. PARAFAC is thus naturally

related to linear algebra for multiway arrays [10]. PARAFAC is used widely in blind receiver detection for direct-sequence code-division multiple-access (CDMA) system [11], array signal processing [12,