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Noisy 1-Bit Compressed Sensing Embeddings Enjoy a Restricted Isometry Property
April 12, 2016 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Scott Spencer
arXiv ID
1604.03499
Category
math.CA
Cross-listed
cs.IT
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
We investigate the sign-linear embeddings of 1-bit compressed sensing given by Gaussian measurements. One can give short arguments concerning a Restricted Isometry Property of such maps using Vapnik-Chervonenkis dimension of sparse hemispheres. This approach has a natural extension to the presence of additive white noise prior to quantization. Noisy one-bit mappings are shown to satisfy an RIP when the metric on the sphere is given by the noise.
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