Optimal a priori clipping estimation for wavelet-based method of moments matrices

Wavelet bases are mainly used in the methods of moments (MoM) to render the system matrix sparse; clipping entries below a given threshold is an essential operation to obtain the desired sparse matrix. In this paper, we present a novel a priori way to estimate the clipping threshold that can be used...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2005-11, Vol.53 (11), p.3726-3734
Main Authors: Andriulli, F.P., Vecchi, G., Vipiana, F., Pirinoli, P., Tabacco, A.
Format: Article
Language:English
Subjects:
Antennas
Applied sciences
Clipping
Computational complexity
Computational efficiency
Costs
Equations
Estimates
Exact sciences and technology
H infinity control
Integral equations
Linear systems
Mathematical analysis
Mathematics
Matrices
Method of moments
methods of moments (MoM)
Moment methods
Optimization
Radiocommunications
Radiowave propagation
Sparse matrices
Telecommunications
Telecommunications and information theory
Thresholds
wavelets
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Summary:Wavelet bases are mainly used in the methods of moments (MoM) to render the system matrix sparse; clipping entries below a given threshold is an essential operation to obtain the desired sparse matrix. In this paper, we present a novel a priori way to estimate the clipping threshold that can be used if one wants an error on the solution below a desired accuracy. The procedure has a very low computational complexity, typically of O(N).
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2005.858855