Wavelet Series

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High Quality Content by WIKIPEDIA articles! In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform. A wavelet is a wave-like oscillation with an amplitude that starts out at zero, increases, and then decreases back to zero. It can typically be visualized as a "brief oscillation" like one might see recorded by a seismograph or heart monitor. Generally, wavelets are purposefully crafted to have specific properties that make them useful for signal processing. Wavelets can be combined, using a "shift, multiply and sum" technique called convolution, with portions of an unknown signal to extract information from the unknown signal.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130363079
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130363079
    • Format Fachbuch
    • ISBN 978-613-0-36307-9
    • Titel Wavelet Series
    • Untertitel Mathematics, Integrable Function, Function (mathematics), Orthonormality, Wavelet, Lp Space, Inner Product Space, Norm (mathematics), Continuous Wavelet Transform
    • Gewicht 173g
    • Herausgeber VDM Verlag Dr. Müller e.K.
    • Anzahl Seiten 104
    • Genre Mathematik

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