Compressive Sensing Reconstruction With Prior Information by Iteratively Reweighted Least-Squares

2009 ◽  
Vol 57 (6) ◽  
pp. 2424-2431 ◽  
Author(s):  
C.J. Miosso ◽  
R. von Borries ◽  
M. Argaez ◽  
L. Velazquez ◽  
C. Quintero ◽  
...  
Keyword(s):  
Compressive Sensing ◽  
Least Squares ◽  
Prior Information ◽  
Iteratively Reweighted Least Squares

scholarly journals Algoritmo para a compressão de sinais da rede elétrica baseado na combinação da técnica Compressive Sensing com uma abordagem dissociativa

2020 ◽  
Author(s):  
Jorge Cormane ◽  
Camila Franco de Sousa
Keyword(s):  
Compressive Sensing ◽  
Least Squares ◽  
Conjugate Gradient ◽  
Iteratively Reweighted Least Squares

Este trabalho apresenta um método de compressão de sinais da rede elétrica baseado na técnica de Compressive Sensing combinada com uma abordagem dissociativa. Para isso, utilizam-se os algoritmos Iteratively Reweighted Least-Squares e o Conjugate Gradient. O primeiro adequado para a reconstrução de sinais unidimensionais, enquanto que o segundo é adequado para a reconstrução do sinal em um formato bidimensional. Os resultados demonstram a preservação do sinal após a reconstrução (SNR > 40 dB), além da redução da complexidade computacional, a partir da dissociação do sinal segundo seu comportamento: regime permanente ou disturbio.

scholarly journals Analytical quality assessment of iteratively reweighted least-squares (IRLS) method

2014 ◽  
Vol 20 (1) ◽  
pp. 132-141 ◽  
Author(s):  
Jianfeng Guo
Keyword(s):  
Least Squares ◽  
Order Approximation ◽  
Diagnostic Tools ◽  
Iteratively Reweighted Least Squares ◽  
First Order ◽  
Iterative Reweighting ◽  
First Order Approximation ◽  
Detectable Bias ◽  
Theoretical Analyses ◽  
Exact Analytical Method

The iteratively reweighted least-squares (IRLS) technique has been widely employed in geodetic and geophysical literature. The reliability measures are important diagnostic tools for inferring the strength of the model validation. An exact analytical method is adopted to obtain insights on how much iterative reweighting can affect the quality indicators. Theoretical analyses and numerical results show that, when the downweighting procedure is performed, (1) the precision, all kinds of dilution of precision (DOP) metrics and the minimal detectable bias (MDB) will become larger; (2) the variations of the bias-to-noise ratio (BNR) are involved, and (3) all these results coincide with those obtained by the first-order approximation method.

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