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Abstract

A transform circuit includes a first circuit and a second circuit. The first circuit and the second circuit implement first and second mappings that together generate a pre-defined transform of N digital data symbols. The first circuit maps a set of N digital data symbols from N parallel data streams to N analog data symbols by generating N sets of first weighted sums of the N digital data symbols. Each respective first weighted sum is defined by a respective set of pre-determined first weighting values in a first matrix. The second circuit maps the N analog data symbols to a sequence of N output signals over N time intervals. Each of the N output signals corresponds to a respective second weighted sum of the N analog data symbols. Each respective second weighted sum is defined by a respective set of pre-determined second weighting values in a second matrix.

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