Abstract
The paper presents the mathematical model of the localization of electromagnetic sources in near-field region based on the sources localization mathematical model valid for the far-field region. The aim of the article is to show similarities and differences between both models with a deeper focus on near-field region model analysis using planar equidistant sensors array. Although both concepts in a high-level mathematical description apparatus look very much the same, in details the near-field region model reconstruction process is more complex with different constrains. Detailed covariance matrix analysis and statistics of the covariance matrix represents the main part of the article. In the conclusion, paper shows some model verification results for the localization of single source, correlated sources and coherent sources.
Highlights
This paper is an extension of work originally presented in New Trends in Signal Processing 2018 [1]
The original article was focused on the sensors signal covariance matrix analysis of near-field region and on similarities and differences between nearand far-field models based on the “harmonics parameters retrieval” and consequences to the signal source parameters estimation
We present a general model description based on the planar equidistant sensor array, which gives a more complex view on the used algorithms and overall signal processing in comparison to linear sensor array
Summary
This paper is an extension of work originally presented in New Trends in Signal Processing 2018 [1]. The original article was focused on the sensors signal covariance matrix analysis of near-field region and on similarities and differences between nearand far-field models based on the “harmonics parameters retrieval” and consequences to the signal source parameters estimation. We present a general model description based on the planar equidistant sensor array, which gives a more complex view on the used algorithms and overall signal processing in comparison to linear sensor array. The mathematical descriptive apparatus of the signal sensors covariance matrix (Eq (2) and Eq (6)) and the decomposition algorithms (Eq (19) and Eq (20)) in near and far-field models look very much the same for the uniform linear sensor array and for the uniform planar sensor array, too. One of the options for the EMI sources localization in the near-field region is to apply the methods and algorithms used for EMI sources localization valid for the far-field region
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