An Improved FOCUSS Algorithm in the Presence of Noise

Yu Qiang Chen; Jian Lan Guo; Yi Jun Liu

doi:10.4028/www.scientific.net/AMM.275-277.2531

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Four Band Cardinal Orthogonal Scaling Functions and Wavelets in Higher Dimensions
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Laser Profile Scanner Application for Micro Part Detection
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An Improved FOCUSS Algorithm in the Presence of Noise
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Verification Mechanism for Online Responses in Criteria Prioritization
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 275-277An Improved FOCUSS Algorithm in the Presence of...

An Improved FOCUSS Algorithm in the Presence of Noise

Abstract:

FOCUSS(Focal Underdetennined System Solver) algorithm is a novel tool for sparse representation and underdetermined inverse problems. To improve the performance of FOCUSS in the presence of noise, we propose an improved FOCUSS algorithm using augmented Lagrange multiplier in this paper. The improved algorithm introduces precise penalty factor with limited value to enhance the precision of signal recovery. For dealing with large scale problem, Conjugate Gradient method is also cooperated to accelerate the convergence speed. Finally, computer simulations illustrate that performance on strengthening the recovery ability of the signal.