Method and apparatus for minimally-shifted wavelet decomposition and recomposition

摘要

The present invention relates to a system for decomposing and recomposing wavelets with minimum filter delay. The system includes multiple low-pass filters and multiple high-pass filters. Each filter in the system has associated filter coefficients. A filter shift value is selected for each filter such that the sum of the shift values for the low-pass filters equals the sum of the shift values for the high-pass filters. The filter coefficients for each filter are shifted according to the shift value associated with the filter. The filter shift values are selected such that the filter shift values associated with a first low-pass filter and the filter shift value associated with a first high-pass filter are both even or both odd. The system can provide center-aligned filters as well as a perfect reconstruction filter bank.