Coherence Statistics of Structured Random Ensembles and Support Detection Bounds for OMP.

Qiyou Duan,Taejoon Kim,Lin Dai,Erik Perrins

IEEE Signal Processing Letters（2019）

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摘要

A structured random matrix ensemble that maintains constant modulus entries and unit-norm columns, often called a random phase-rotated (RPR) matrix, is considered in this letter. We analyze the coherence statistics of RPR measurement matrices and apply them to acquire probabilistic performance guarantees of orthogonal matching pursuit (OMP) for support detection (SD). It is revealed via numerical ...

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关键词

Coherence,Matching pursuit algorithms,Phase measurement,Atmospheric measurements,Particle measurements,Manganese,Sparse matrices

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