TY - GEN
T1 - Soft Homotopy through Moore-Penrose Inverse
AU - Tausiesakul, Bamrung
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - The acquisition of a discrete-time signal is an important 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⊺)-1 and the matrix multiplication A⊺(AA⊺)-1 can be done before the iteration starts, where ·⊺ is the transpose. Numerical examples illustrate the improved error performance for different values of the shrinking parameter γ. It is found that the greater the shrinking parameter, the less the signal recovery error one could obtain from the two new approaches.
AB - The acquisition of a discrete-time signal is an important 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⊺)-1 and the matrix multiplication A⊺(AA⊺)-1 can be done before the iteration starts, where ·⊺ is the transpose. Numerical examples illustrate the improved error performance for different values of the shrinking parameter γ. It is found that the greater the shrinking parameter, the less the signal recovery error one could obtain from the two new approaches.
KW - Compressive sensing
KW - homotopy algorithm
KW - soft thresholding
UR - https://www.scopus.com/pages/publications/85137782224
U2 - 10.1109/CIVEMSA53371.2022.9853651
DO - 10.1109/CIVEMSA53371.2022.9853651
M3 - Conference contribution
AN - SCOPUS:85137782224
T3 - CIVEMSA 2022 - IEEE International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications, Proceedings
BT - CIVEMSA 2022 - IEEE International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications, Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 10th IEEE International Conference on Computational Intelligence and Virtual Environments for Measurement Systems and Applications, CIVEMSA 2022
Y2 - 15 June 2022 through 17 June 2022
ER -