19 September 2014 The method of evaluation for 1/f low-frequency electronics noise based on compressed sensing
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Abstract
In this paper, we aimed to separate the 1/f noise from the original signal, and analyzed its characteristics of power spectrum. First, an N-level wavelet transform has been applied to the original data signal before the compressed sensing observation for the original signal. Compared with the tradition measurement procession of compressed sensing, the measurement matrix here is replaced with the circulant matrix. This can greatly reduce the measurement number compared with the random Gaussian matrix. To reduce the algorithm time, some zero independent elements are introduced to the circulant matrix. This proposed circulant matrix is then helpful to save 60 percent of algorithm’s reconstruction time.
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Haipeng Chen, Haipeng Chen, Shuxu Guo, Shuxu Guo, Tian Zhang, Tian Zhang, Jian Sun, Jian Sun, } "The method of evaluation for 1/f low-frequency electronics noise based on compressed sensing", Proc. SPIE 9216, Optics and Photonics for Information Processing VIII, 92161U (19 September 2014); doi: 10.1117/12.2061334; https://doi.org/10.1117/12.2061334
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