Abstract
The probability density function of adaptive beam space estimates of the frequency-wave vector power is derived. The estimates are derived, at each frequency of interest, from the inverse of the cross-spectral matrix of the outputs of a conventional beamformer. From the probability density function, the detection performance of the beam space algorithm can be compared with the corresponding element space one. For very short integration times the beam space algorithm can, in certain noise fields, have a lower detection threshold than the element space one. An example, using experimental sonar data, is given to illustrate this.
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