Analysis of DWT Coefficients and Its Application
Chorng‐Yann Su · 2002
In this study, we first analyze the upper bound of magnitudes of the discrete wavelet transform (DWT) coefficients, and then we apply the analysis result to a zerotree-based encoder. The analysis is based on the mathematical induction. By using the analysis result, the upper bound of magnitudes of the transform coefficients in each band is known once the wavelet filter is chosen. Experimental results show that by using the analysis results to a zerotree-based encoder we can reduce the amount of computation of finding the largest magnitude of all of the transform coefficients to near 90% of that of a full search.