Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-Bit Quantization Design and Adaptive Methods for Compressed Sensing   There have been a number of studies on sparse signal recovery from one-bit
quantized measurements. Nevertheless, little attention has been paid to the
choice of the quantization thresholds and its impact on the signal recovery
performance. This paper examines the problem of one-bit quantizer design for
sparse signal recovery. Our analysis shows that the magnitude ambiguity that
ever plagues conventional one-bit compressed sensing methods can be resolved,
and an arbitrarily small reconstruction error can be achieved by setting the
quantization thresholds close enough to the original data samples without being
quantized. Note that unquantized data samples are unaccessible in practice. To
overcome this difficulty, we propose an adaptive quantization method that
adaptively adjusts the quantization thresholds in a way such that the
thresholds converges to the optimal thresholds. Numerical results are
illustrated to collaborate our theoretical results and the effectiveness of the
proposed algorithm.

14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph