Title :
Quadrature prefilters for the discrete wavelet transform
Author :
Johnson, Bruce R. ; Kinsey, Tariq L.
Author_Institution :
Dept. of Chem., Rice Univ., Houston, TX, USA
fDate :
3/1/2000 12:00:00 AM
Abstract :
Discrepancies between the discrete wavelet transform and the coefficients of the wavelet series are known to be reducible by initialization of input data. Prefilters based on Lagrange interpolants are derived here for biorthogonal compact support wavelet systems, providing exact subspace projection in cases of local polynomial smoothness. The resulting divergence acceleration in a nonpolynomial test case is examined. Irregular sampling rates are also accommodated
Keywords :
digital filters; discrete wavelet transforms; interpolation; polynomials; signal sampling; Lagrange interpolant; biorthogonal compact support wavelet systems; discrete wavelet transform; divergence acceleration; exact subspace projection; initialization; input data; irregular sampling rates; local polynomial smoothness; nonpolynomial test case; quadrature prefilters; wavelet series; Convergence; Discrete wavelet transforms; Interpolation; Lagrangian functions; Life estimation; Polynomials; Sampling methods; Signal analysis; Testing; Wavelet analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
