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We present and study a scheme for lossless causal compression of periodicreal-valued signals. In particular, our technique compresses a vector-valuedsignal to a scalar-valued signal by mixing it with another periodic signal. Theconditions for being able to reconstruct the original signal then amount tocertain non-resonances between the periods of the two signals. The proposedcompression scheme turns out to implicitly be inherent to communicationnetworks with round-robin scheduling and digital photography with active pixelsensors.

On Lossless Causal Compression of Periodic Signals