TY - GEN
A1 - Rakowski, Waldemar
A2 - Iacono, Mauro - ed.
A2 - Kołodziej, Joanna - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/79096/AMCS_2015_25_4_16.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/79096
KW - cubic box splines
KW - wavelets
KW - dyadic wavelet transform
KW - singularity detection
T1 - Application of cubic box spline wavelets in the analysis of signal singularities
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=79096
ER -