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Abstract

The ability to design efficient distributed communications systems heavily depends on a proper understanding of the distortion incurred by their constituting elements. To this end, we study the mean squared reconstruction error behavior of the distributed Karhunen-Lo\`{e}ve transform. We provide a general formula to compute this distortion under asymptotic considerations in a pure approximation viewpoint. Using a simple illustrative example, we show how this approach allows to obtain closed-form formulas that permit to efficiently assess the performance of the distributed scheme.

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