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We show asymmetric multi-channel sampling on a series of a shift invariant spaces ∑ with a series of Riesz generators ∑ in , where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between ∑ and 0, 2 to find conditions under which there is a stable asymmetric multi-channel sampling formula on ∑ .

Asymmetric Multi-channel Sampling in a Series of Shift Invariant Spaces