Title :
Galois theory and wavelet transforms
Author :
Klappenecker, Andreas ; Beth, Thomas
Author_Institution :
Inst. fur Algorithmen und Kognitive Syst., Karlsruhe Univ., Germany
Abstract :
Orthonormal wavelet bases are usually constructed by the tools of multiresolution analysis. Computing the fast wavelet transform of rational input sequences using algebraic scaling coefficients affords only a finite extension field K over Q rather than the field of complex numbers. We use Galois theoretic methods to study this extension field
Keywords :
Galois fields; estimation theory; signal resolution; wavelet transforms; Galois theory; algebraic scaling coefficients; fast wavelet transform; finite extension field; multiresolution analysis; orthonormal wavelet bases; rational input sequences; wavelet transforms; Equations; Heart; Lead; Multiresolution analysis; Polynomials; Transfer functions; Upper bound; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550416
