High-resolution estimation of the directions-of-arrival distribution by algebraic phase unwrapping algorithms

Authors:
Isao Yamada;Kazuhiro Oguchi
Affiliations:
Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan 152-8550;Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, Japan 152-8550
Venue:
Multidimensional Systems and Signal Processing
Year:
2011

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Abstract

We present nontrivial utilization methods of a pair of symbolic algebraic algorithms (Yamada et al. in IEEE Trans Signal Process 46:1639---1664, 1998; Yamada and Bose in IEEE Trans Circuits Syst 1 Fundam Theory Appl 49:298---304, 2002) which were developed originally for multidimensional phase unwrapping and zero-distribution problems. Given the minor subspace of the covariance matrix of the data measured at a uniform linear array of sensors, the proposed methods provide estimates of the Directions-of-Arrival (DOA) distribution of multiple narrowband signals, i.e., the number of DOA in an arbitrarily specified range, without using any numerical search for each direction of arrival. The proposed methods can serve as powerful mathematical tools to extract global information in the high-resolution DOA estimation problems.