Uniform Sampling Methodology to Construct Projection Matrices for Angle-of-Arrival Estimation Applications

作者: Mohammed A. G. Al-Sadoon , Marcus de Ree , Raed A. Abd-Alhameed , Peter S. Excell

DOI: 10.3390/ELECTRONICS8121386

关键词: Antenna arrayPolynomialMatrix (mathematics)Angle of arrivalAlgorithmCovariance matrixApertureSampling (statistics)Computer scienceProjection (linear algebra)

摘要: This manuscript firstly proposes a reduced size, low-complexity Angle of Arrival (AoA) approach, called Reduced Uniform Projection Matrix (RUPM). The RUPM method applies Sampling (USM) criterion to sample certain columns from the obtained covariance matrix in order efficiently find directions incident signals on an antenna array. USM methodology is applied reduce dependency between adjacent sampled within matrix; then, used construct projection matrix. size minimise computational complexity searching grid stage. A theoretical analysis presented demonstrate that can increase Degrees Freedom (DOFs) with same aperture and number compared classical sampling criterion. Then, polynomial root constructed as alternative efficient solution UPM one-dimensional (1D) array spectrum peak problem. It found this distribution increases produced nulls enhances noise immunity. advantage it appropriate apply for any configuration while Root-UPM offers better estimation accuracy less execution time under uniform linear condition. computer simulation based various scenarios performed claims. proposed direction-finding methods are several AoA terms required time, Signal-to-Noise Ratio (SNR) different numbers data measurements. results verify new achieve significantly performance demands.

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