k-omega beamforming on non-equally spaced line arrays

Abstract

It is not generally known that k-omega beamforming can be applied to nonuniform line arrays. The concept is that each of the nonuniform array signals is deemed to come from the nearest array element on a fictitious uniform array spatially sampled at a high-enough density that location errors are negligible. The k-omega approach can mimic the time delay and sum approach to an arbitrary degree of accuracy. Interpolating weights are derived and applied to a center-tapered logarithmic array as an example. Benefits of this beamforming approach over the direct approach are discussed.

Using Frame Theoretic Convolutional Gridding for Robust Synthetic Aperture Sonar Imaging

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