Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: (l1,l2)-RIP and Projected Back-Projection Reconstruction for Phase-Only
  Measurements   This letter analyzes the performances of a simple reconstruction method,
namely the Projected Back-Projection (PBP), for estimating the direction of a
sparse signal from its phase-only (or amplitude-less) complex Gaussian random
measurements, i.e., an extension of one-bit compressive sensing to the complex
field. To study the performances of this algorithm, we show that complex
Gaussian random matrices respect, with high probability, a variant of the
Restricted Isometry Property (RIP) relating to the l1 -norm of the sparse
signal measurements to their l2 -norm. This property allows us to upper-bound
the reconstruction error of PBP in the presence of phase noise. Monte Carlo
simulations are performed to highlight the performance of our approach in this
phase-only acquisition model when compared to error achieved by PBP in
classical compressive sensing.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg