Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/27378
ชื่อเรื่อง: Soft Homotopy via Moore-Penrose Inverse
ผู้แต่ง: Tausiesakul B.
Keywords: Compressive sensing
homotopy algorithm
soft thresholding
วันที่เผยแพร่: 2022
สำนักพิมพ์: Institute of Electrical and Electronics Engineers Inc.
บทคัดย่อ: The acquisition of a discrete-time signal is an im-portant part of a compressive sensing problem. A fine algorithm that could bring better signal recovery performance is often called for. In this work, two homotopy algorithms that involve a soft thresholding decision are proposed using the Moore-Penrose inverse. The additional complexity required in the two proposed methods is relatively minimal, since the necessary matrix inverse (AA T) -1 and the matrix multiplication $A$ T (AA T) -1 can be done before the iteration starts, where $^{\top}$ is the transpose. Numerical examples illustrate the improved error performance for different values of the shrinking parameter $\gamma$. It is found that the greater the shrinking parameter, the less the signal recovery error one could obtain from the two new approaches. © 2022 University of Split, FESB.
URI: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85138166607&doi=10.23919%2fSpliTech55088.2022.9854267&partnerID=40&md5=8f5e1d795c01658933d97114031d568d
https://ir.swu.ac.th/jspui/handle/123456789/27378
Appears in Collections:Scopus 2022

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