Compressed sensing underwater target localization and performance of measurement matrix based on acoustic scattering statistical characteristics
In recent years,compressed sensing theory has been widely applicated in the field of underwater target localization.Compressive sensing localization algorithm transforms the underwater target localization problem into sparse model reconstruction problem,which has high positioning accuracy.But localization results are affected by the scattering environment.In this paper,pool experiments of underwater target local-ization are carried out,and experimental data received by hydrophone array are processed.Localization results are analyzed by localization error,number of localizable sound sources and localization signal-to-noise ratio.On this basis,broadband performance of compressed sensing localization algorithm and influence of scattering environment on localization results are studied.Then,performance of measurement matrix is approximately analyzed using Spark coefficient and acoustic scattering statistical characteristics.Results of pool experiments show that compressed sensing localization algorithm is well applicable in a wide frequency range.With enhance-ment of the ambient scattering,column coherence of measurement matrix decreases and sparse reconstruction performance improves,which make localization results more accurate.When approximately analyzing per-formance of hydroacoustic localization measurement matrix,acoustic scattering statistical characteristics are similar to Spark coefficient in variation trend,and have advantages of intuitiveness and simple calculation.
Compressed sensingMeasurement matrixUnderwater target localizationProbability density function