“…In the dynamical sampling problem, the set of space samples is replaced by a set of space-time samples (see e.g. [1], [2], [3], [5] and references therein). An interesting case is the problem of reconstruction of a bandlimited signal f from the space-time samples of its states f * ϕu resulting from the convolution with a kernel ϕu.…”
For a wide family of even kernels {ϕu, u ∈ I}, we describe discrete sets Λ such that every bandlimited signal f can be reconstructed from the space-time samples {(f * ϕu)(λ), λ ∈ Λ, u ∈ I}.
“…In the dynamical sampling problem, the set of space samples is replaced by a set of space-time samples (see e.g. [1], [2], [3], [5] and references therein). An interesting case is the problem of reconstruction of a bandlimited signal f from the space-time samples of its states f * ϕu resulting from the convolution with a kernel ϕu.…”
For a wide family of even kernels {ϕu, u ∈ I}, we describe discrete sets Λ such that every bandlimited signal f can be reconstructed from the space-time samples {(f * ϕu)(λ), λ ∈ Λ, u ∈ I}.
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