A wavelet based recursive reconstruction algorithm for linear measurements
Author
Orhan, Arıkan
Date
1996Source Title
Proceedings of the 3rd International Symposium on Time-Frequency and Time-Scale Analysis, IEEE 1996
Publisher
IEEE
Pages
33 - 36
Language
English
Type
Conference PaperItem Usage Stats
174
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Abstract
A recursive algorithm is proposed to obtain an efficient regularized least squares solution to large linear system of equations which arises in many physical measurement models. The algorithm recursively updates the solution in an increasingly larger dimensional subspace whose basis vectors are chosen as a subset of a complete wavelet basis. Robust criterions on how to chose the basis vectors at each iteration, and when to stop the iterations are given.
Keywords
AlgorithmsCalculations
Computational complexity
Iterative methods
Least squares approximations
Mathematical models
Parameter estimation
Recursive functions
Vectors
Wavelet transforms
Adaptive partitioning methods
Recursive reconstruction algorithm
Signal processing