期刊
IEEE SIGNAL PROCESSING LETTERS
卷 18, 期 8, 页码 478-481出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2011.2159837
关键词
Analog noise versus digital noise; compressed sensing; matching pursuit; noise folding; sparse signals
资金
- Office of Naval Research [N00014-09-1-0258]
- Israel Science Foundation [1081/07]
- Ollendorf foundation
The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to measurement. We briefly study this setting and show that, for the vast majority of measurement schemes employed in compressed sensing, the two models are equivalent with the important difference that the signal-to-noise ratio (SNR) is divided by a factor proportional to p/n, where p is the dimension of the signal and n is the number of observations. Since p/n is often large, this leads to noise folding which can have a severe impact on the SNR.
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