15 April 2008 Distributed aperture imaging with multiple transmitters in complex environments
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Abstract
We present a new image reconstruction method for distributed apertures operating in complex environments with additive non-stationary noise. Our method is capable of exploiting information that we might have about: multipath scattering in the environment; statistics of the objects to be imaged; statistics of the additive non-stationary noise. The aperture elements are distributed spatially in an arbitrary fashion, and can be several hundred wavelengths apart. Furthermore, our method facilitates multiple transmit apertures which operate simultaneously, and is thus capable of handling a true multi-transmit-multi-receive scenario. We derive a set of basis functions which is adapted to the given operating environment and sensor distribution. By selecting an appropriate subset of these basis functions we obtain a sub-space reconstruction which is optimal in the sense of obtaining the minimum-mean-square-error for the reconstructed image. Furthermore, as this subspace determines which details will be visible in the reconstructed image, it provides a tool for evaluating the sensor locations against the objects that we would like to see in the image. The implementation of our reconstruction takes the form of a filter bank which is applied to the pulse-echo measurements. This processing can be performed independently on the measurements obtained from each receiving element. Our approach is therefore well suited for parallel implementation, and can be performed in a distributed manner in order to reduce the required communication bandwidth between each receiver and the location where the results are merged into the final image. We present numerical simulations which illustrate capabilities of our method.
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T. Varslot, T. Varslot, B. Yazici, B. Yazici, M. Cheney, M. Cheney, } "Distributed aperture imaging with multiple transmitters in complex environments", Proc. SPIE 6970, Algorithms for Synthetic Aperture Radar Imagery XV, 69700J (15 April 2008); doi: 10.1117/12.777504; https://doi.org/10.1117/12.777504
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