Lorentzian Model of Spatially Coherent Noise Field

in Narrowband Direction Finding

Youssef Khmou and Said Safi

 Department of Mathematics and informatics, Sultan Moulay Slimane University, Morocco

Abstract: When studying the radiation coming from far field sources using an array of sensors, besides the internal thermal noise, the received wave field is always perturbed by an external noise field, which can be temporally and spatially coherent to some degree, temporally incoherent and spatially coherent, spatially incoherent and temporally correlated or finally, the incoherence in both domains. Thus treating the received data needs to consider the nature of perturbing field in order to make accurate measurements such as powers of punctual sources, theirs locations and the types of waveforms which can be deterministic or random. In this paper, we study the type of temporally white and spatially coherent noise field; we propose a new spatial coherence function using Lorentz function. After briefly describing some existing models, we numerically study the effect of spatial coherence length on resolving the angular locations of closely radiating sources using spectral techniques which are divided into beam forming and subspace based methods, this study is made comparatively to temporally and spatially white noise with the same power as the proposed one in order to make a precise comparisons.

Keywords: Spatial coherence function, narrowband, direction of arrival, Lorentz function, coherence length.

Received February 10, 2017; accepted May 13, 2017