Title :
New results of phase shifting in the wavelet space
Author_Institution :
Sharp Labs. of America, Camas, WA, USA
fDate :
7/1/2003 12:00:00 AM
Abstract :
This paper investigates the relationship between even-phase coefficients and odd-phase coefficients in a two-channel perfect reconstruction filter bank. We demonstrate that they are linked to each other by a unique phase-shifting matrix. In the case of multilevel wavelet decomposition, we present an efficient recursive solution to directly perform phase shifting in the wavelet space. Our proposed solution can also be easily generalized into the case of two-dimensional wavelet transform. Direct phase-shifting methods in the wavelet space have potential applications in wavelet-based image/video coding and compressed domain processing.
Keywords :
channel bank filters; data compression; image coding; image reconstruction; matrix algebra; transform coding; video coding; wavelet transforms; 2D wavelet transform; compressed domain processing; efficient recursive solution; even-phase coefficients; multilevel wavelet decomposition; odd-phase coefficients; phase shifting; phase-shifting matrix; two-channel perfect reconstruction filter bank; two-dimensional wavelet transform; wavelet space; wavelet-based image/video coding; Computational efficiency; Equations; Filter bank; Image coding; Image reconstruction; Matrix decomposition; Uncertainty; Video coding; Wavelet domain; Wavelet transforms;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.811587