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A Wavelet Transform Approach to Inverse Problems of Vandermonde Type Systems

Kiyoshi Yoda
Y. Saito
Journal / Anthology

IEEE Transactions on Magnetics
Year: 1997
Volume: 33
Issue: 2
Page range: 1955-1957

Inverse problems of Vandermonde type systems have been solved using the discrete wavelet transform. The inverse matrices of the transformed subsystems were calculated, thereby locating the largest well-conditioned submatrix. The reduced system was solved and the solution was inversely transformed. Results were compared between two different wavelet basis functions, indicating that Daubechies-4 wavelets lead to much more accurate solutions than Haar wavelets. Three simple techniques for eliminating another systematic noise are also proposed to further improve the accuracy of the final solutions.

*Engineering > Electrical Engineering