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New method improves sparse 2D signal reconstruction with fixed readout budget

This paper introduces a new method for reconstructing sparse 2D signals from subsampled Fourier representations, specifically addressing scenarios where a fixed number of entries can be sampled per channel. Researchers derived a lower bound on the mutual coherence of the compressed sensing matrix for a given readout budget, demonstrating it exceeds the classical Welch bound. The paper also presents deterministic subsampling patterns that achieve this bound for certain matrix dimensions and budgets, with simulations benchmarking their performance against random subsampling. AI

RANK_REASON The item is an academic paper published on arXiv detailing a new method for signal processing. [lever_c_demoted from research: ic=1 ai=0.1]

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New method improves sparse 2D signal reconstruction with fixed readout budget

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  1. arXiv cs.IR (Information Retrieval) TIER_1 English(EN) · Nitin Jonathan Myers ·

    Two-dimensional Fourier compressed sensing under a fixed readout budget per channel

    Recovering sparse signals from their subsampled Fourier representation is an important problem in communications, radar, and imaging. In this letter, we focus on reconstructing sparse 2D signals (matrices) under the constraint that only a fixed number of entries can be sampled fr…