Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival

Nuri Yilmazer, Jinhwan Koh, Tapan K. Sarkar

Research output: Contribution to journalArticle

137 Scopus citations

Abstract

In this study, we use the matrix pencil (MP) method to compute the direction of arrival (DOA) of the signals using a very efficient computational procedure in which the complexity, of the computation can be reduced significantly by using a unitary matrix transformation. This method applies the technique directly to the data without forming a covariance matrix. Simulation results show that the variance of the estimate approaches to the Cramer-Rao lower bound. Using real computations through the unitary transformation for the MP method leads to a very efficient computational methodology for real time implementation on a digital signal processor chip. A unitary transform can convert the complex matrix to a real matrix along with their eigenvectors and thereby reducing the computational cost at least by a factor of four without sacrificing accuracy. This reduction in the number of computations is achieved by using a transformation, which maps centro-hermitian matrices to real matrices. This transformation is based on Lee's work on centro-hermitian matrices.

Original languageEnglish (US)
Pages (from-to)175-180
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Volume54
Issue number1
DOIs
StatePublished - Dec 1 2006

Keywords

  • Direction of arrival (DOA)
  • Matrix pencil (MP)
  • Unitary transformation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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