20 February 2015 L1 minimization applied to two sparse signals that can be described as sums of elementary functions
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Proceedings Volume 9258, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VII; 92581B (2015) https://doi.org/10.1117/12.2071829
Event: Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies 2014, 2014, Constanta, Romania
Abstract
Compressive sampling is a technique used in digital signal processing, which allows for the capture of high resolution physical signals from relatively few measurements. This technique is illustrated here for two simple cases: a signal to be that can be expressed as a sum of three sine functions and another one that can be expressed as a sum of three Bessel functions of the first kind. In order to perform a compressive sampling one must use correct measurement vectors and this is a quite complicated problem. In this paper a simple algorithm for obtaining the correct measurement vectors for illustration and pedagogical purposes is shown.
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Petre Cătălin Logofătu, Petre Cătălin Logofătu, } "L1 minimization applied to two sparse signals that can be described as sums of elementary functions", Proc. SPIE 9258, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VII, 92581B (20 February 2015); doi: 10.1117/12.2071829; https://doi.org/10.1117/12.2071829
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