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Digitale Medien

A new family of orthonormal wavelet bases (1998)

Liu, L. T. ; Hsu, H. T. ; Gao, B. X.

Springer

Journal of geodesy 72 (1998), S. 294-303

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Details

ISSN: 1432-1394

Schlagwort(e): Key words Wavelets ; B-splines ; Gravity tides

Quelle: Springer Online Journal Archives 1860-2000

Thema: Architektur, Bauingenieurwesen, Vermessung

Notizen: Abstract. In this contribution we introduce the concept of multiresolution analysis (MRA) and give an explanation of the relationship between MRA and orthonormal wavelet basis. The construction of the orthonormal B-spline wavelet bases is described in detail. We extend the B-splines to `non-integral order' cases and thus obtain a new family of orthonormal wavelet bases for the space L 2(R). Some good properties of the new wavelets are demonstrated. The new wavelet family gives satisfactory performances in our research projects including seismic signal compression and gravity tide data processing.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s001900050168

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