Autor:
Współtwórca:
Iacono, Mauro - ed. ; Kołodziej, Joanna - ed.
Tytuł:
Application of cubic box spline wavelets in the analysis of signal singularities
Podtytuł:
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
cubic box splines ; wavelets ; dyadic wavelet transform ; singularity detection
Abstract:
In the subject literature, wavelets such as the Mexican hat (the second derivative of a Gaussian) or the quadratic box spline are commonly used for the task of singularity detection. The disadvantage of the Mexican hat, however, is its unlimited support; the disadvantage of the quadratic box spline is a phase shift introduced by the wavelet, making it difficult to locate singular points. ; The paper deals with the construction and properties of wavelets in the form of cubic box splines which have compact and short support and which do not introduce a phase shift. The digital filters associated with cubic box wavelets that are applied in implementing the discrete dyadic wavelet transform are defined. The filters and the "algorithme ? trous" of the discrete dyadic wavelet transform are used in detecting signal singularities and in calculating the measures of signal singularities in the form of a Lipschitz exponent. The article presents examples illustrating the use of cubic box spline wavelets in the analysis of signal singularities.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 25, number 4 (2015) ; kliknij tutaj, żeby przejść