The pulse sorting transform

A modification of conventional Fourier transforms is presented. This modification is called the pulse sorting transform (PST) and is useful in extracting information from signals comprised of interleaved pulse trains. A brief derivation of the PST from the conventional transform is presented, followed by theorems that describe the PST's properties. Several examples of how the PST can be an effective tool in digital signal processing are presented. The examples demonstrate how the PST extracts phase information from interleaved pulse trains.<
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