An Iterative Approach to the Deconvolution of the Narrowband Outputs of a Conventional Beamformer

摘要

In conventional beamforming the estimated noise power wave number spectrum is the convolution of the incident distribution with the array response. By removing the effect of the array response an improved estimate of the incident wave-number spectrum may be obtained. In particular the method of progressive substitutions has been widely used to deconvolve array window. By assuming all the incident signals to be a linear super-position of a finite number of plane waves this method is extended to deconvolve the narrowband beam outputs of a conventional beamformer. Two methods are used, the first to deconvolve the complex beam amplitudes and the second to deconvolve the beam powers. The convergence of these proposed interactive solutions is proved and the relationship of the limits to some recently proposed quadratic estimators is shown. (Author)