Generalized orthogonalization method for finite discrete signals and its application

The problem of finding a pair of biorthogonal functions for the case of finite and discrete signals is considered. Starting from two initial functions which are not necessarily biorthogonal, a general procedure to construct biorthogonal ones is given. Compared to previous orthogonalization methods,...

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Bibliographic Details
Published in2011 XXIII International Symposium on Information, Communication and Automation Technologies pp. 1 - 6
Main Authors Verki, M. M., Lundheim, L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2011
Subjects
Biorthogonality
Discrete Transform
Discrete transforms
Dual function
Frame
Gabor transform
Lattices
Orthogonalization
Shape
Signal processing
Time frequency analysis
Vectors
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Summary:The problem of finding a pair of biorthogonal functions for the case of finite and discrete signals is considered. Starting from two initial functions which are not necessarily biorthogonal, a general procedure to construct biorthogonal ones is given. Compared to previous orthogonalization methods, this method is more general, flexible and also more systematic. Numerical results are also given to see how different parameters can result in different orthogonalized functions.
ISBN:9781457707445
1457707446
DOI:10.1109/ICAT.2011.6102098