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Math

Submission + - Shannon-Nyquist sampling theory uneccessary (technologyreview.com)

midicase writes: Compressive sensing: It's a way of sampling and reconstructing an analogue signal at a rate far lower than standard information theory would deem possible. Olga Holtz explains that compressive sensing relies on the fact that most analogue signals have a structure of some kind that can be exploited to reconstruct them. Know this structure and the signal can be reconstructed using a sampling rate that is significantly lower than the Nyquist rate. That's going to have big implications for all kinds of measurements. Holtz gives the example of a camera developed by Richard Baraniuk and Kevin Kelly at Rice University which produces an image equivalent to a 5 megapixel image compressed using a standard jpeg algorithm to about 50,000 pixels. Paper is at http://arxiv.org/abs/0812.3137

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