Reversible Integer-to-Integer Wavelet Transforms With Improved Approximation Properties

Abstract

Reversible integer-to-integer (ITI) transforms that approximate linear wavelet transforms have proven extremely useful in signal coding applications. The coding efficiency achievable with such reversible transforms, however, depends on how well they approximate their parent linear transforms. In this paper, a simple but effective method for constructing reversible ITI wavelet transforms which better approximate their parent linear transforms is proposed. Furthermore, the transforms obtained with this new method are shown to have superior performance for signal coding applications