Title :
Sector array mapping: transformation matrix design for minimum MSE
Author :
Hyberg, Per ; Jansson, Magnus ; Ottersten, Björn
Author_Institution :
Swedish Defense Res. Agency, Stockholm, Sweden
Abstract :
The paper treats mapping (interpolation) of the output vector from an existing antenna array onto the output vector of an imaginary array when the directions of arrival (DOA) are known only to within a sector. The problem of constructing a mapping matrix, common to the sector, that minimizes DOA mean square error (MSE) across the sector, is analyzed. We derive a general condition on the mapping errors that prevents them from affecting the calculated DOAs. Thereafter, we propose a design algorithm for the transformation matrix that generates mapping errors fulfilling this condition. Simulations show conspicuous MSE improvements in relevant scenarios.
Keywords :
antenna arrays; array signal processing; direction-of-arrival estimation; interpolation; matrix algebra; mean square error methods; minimisation; vectors; DOA estimation errors; DOA mean square error minimization; antenna array; direction of arrival; imaginary array; interpolation; mapping errors; mapping matrix; minimum MSE; sector array mapping; transformation matrix; Algorithm design and analysis; Antenna arrays; Azimuth; Covariance matrix; Direction of arrival estimation; Directive antennas; Gaussian noise; Signal mapping; Surveillance; Transmission line matrix methods;
Conference_Titel :
Signals, Systems and Computers, 2002. Conference Record of the Thirty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-7576-9
DOI :
10.1109/ACSSC.2002.1196988