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Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space

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Abstract This article mainly studies the nonuniform and semi-average sampling of time-varying shift-invariant signals living in a mixed Lebesgue space under the condition that the generator of the shift-invariant subspace… Click to show full abstract

Abstract This article mainly studies the nonuniform and semi-average sampling of time-varying shift-invariant signals living in a mixed Lebesgue space under the condition that the generator of the shift-invariant subspace belongs to a hybrid-norm space of mixed form depending on the orders p and q. First, the sampling stability for two kinds of semi-average sampling functionals is established. Then, we give the corresponding iterative approximation projection algorithms with exponential convergence for recovering the time-based shift-invariant signals from the semi-average samples.

Keywords: invariant signals; space; shift invariant; semi average; average sampling

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2020

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