Abstract
This paper presents the new constraint correntropy beamforming method to improve the performance of global navigation satellite system (GNSS) receivers. Although beamforming-based GNSS system possesses the ability of nulling interference sources, the distortions to satellite signal induced by impulsive noises are always neglected. This paper addresses the satellite navigation signal acquisition problem against impulsive noises using the constraint maximum correntropy criterion in framework of the GNSS system. In addition, in order to decrease the number of active elements for avoiding overmuch energy consumption, we introduce the L1-norm penalty equation to the list of constraints of the adaptive filter that forces the coefficients with small magnitudes to zero. From the above, we propose the norm-constraint beamforming method to satisfy the conflicting requirements between the coefficients sparsity and the performance of the satellite signal acquisition. The proposed CSMC maintains the robustness against impulsive outliers and achieve better performance in conjunction with less power consumption. An analysis of the mean square convergence properties of the proposed algorithms is presented, and the stability condition of the convergence is derived. Our simulation results demonstrate the superiority of the proposed methods.
Highlights
Adaptive beamforming, as one of the most important techniques of array signal processing has been widely used in global navigation satellite system (GNSS) system as well as other applications because of its efficient ability to suppress interference and preserve desired signal [1, 2]
Several groups of simulation experiments are conducted using Matlab R2015b to verify the proposed constraint sparse maximum correntropy (CSMC) beamforming algorithm for GNSS receivers; a uniform linear array of 15 omnidirectional antenna elements with the interelement spacing of half wavelength is considered in the simulation; the desired satellite signal is the form of coarse acquisition (C/A) code with 90∘ for incident angle
A novel adaptive beamforming approach is proposed aiming to improve the performance of GNSS signal acquisition in this paper
Summary
As one of the most important techniques of array signal processing has been widely used in GNSS system as well as other applications because of its efficient ability to suppress interference and preserve desired signal [1, 2]. Most beamforming algorithms suppress the interference effectively with high power consumption; as a result, the applicability of these techniques is restricted by the scenarios with limited power supply systems With considerations on these issues, the main contributions of this paper are summarized as follows: we propose the novel adaptive beamforming algorithms in the presence of impulsive noise, referred to as constrained sparse maximum correntropy. The novel algorithm takes into account the possibility for provoking sparsity of L1-norm and adds a particular norm constraint into the optimization function The results of this technique implementation can be regarded as producing the sparse solution of adaptive beamformer and achieving less waste of power at the GNSS receiver.
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