2010
DOI: 10.1109/tim.2009.2025986
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Accurate Doppler Radar Noncontact Vital Sign Detection Using the RELAX Algorithm

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Cited by 138 publications
(22 citation statements)
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“…Solving the problem in Eq. (14) usually leads to an NPhard problem that becomes computationally intractable even for moderate dimensions. One breakthrough came with the proof that, for enough sparse signals and sensing matrices with sufficiently incoherent columns, the l 0 -norm minimization is equivalent to the l 1 -norm minimization, 26,27 which is the closest convex optimization problem to Eq.…”
Section: A Sparse Reconstructionmentioning
confidence: 99%
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“…Solving the problem in Eq. (14) usually leads to an NPhard problem that becomes computationally intractable even for moderate dimensions. One breakthrough came with the proof that, for enough sparse signals and sensing matrices with sufficiently incoherent columns, the l 0 -norm minimization is equivalent to the l 1 -norm minimization, 26,27 which is the closest convex optimization problem to Eq.…”
Section: A Sparse Reconstructionmentioning
confidence: 99%
“…One breakthrough came with the proof that, for enough sparse signals and sensing matrices with sufficiently incoherent columns, the l 0 -norm minimization is equivalent to the l 1 -norm minimization, 26,27 which is the closest convex optimization problem to Eq. (14) and can be solved in a polynomial time. Another branch is greedy pursuits, which is based on the simple concept of finding the atom that has the largest correlation with the measurement, eliminating it from the data and repeating with the rest until convergence.…”
Section: A Sparse Reconstructionmentioning
confidence: 99%
See 1 more Smart Citation
“…The use of electromagnetic wave propagation principles for developing non-contacting sensors has been proposed in previous researches. Doppler radar was studied and proposed for detecting vital sign, for examples respiratory and heartbeat [1][2][3][4][5]. In order to monitor the condition of civil structures, the use of radar systems as tools for measuring the structure displacement and monitoring the vibration characteristic was evaluated [6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…This high range resolution leads to a large required bandwidth [11][12][13]. In order to mitigate this issue, some previous works proposed the use of phase data processing as a basic detection principle to avoid the need of large bandwidth for high range resolution [1][2][3][4].…”
Section: Introductionmentioning
confidence: 99%