Band-limited combined orthonormal wavelet bases

First, a general procedure for constructing a variety of orthogonal wavelets which are compactly supported in frequency domain is presented. These orthogonal wavelets, as a result of the method of multiresolution analysis (MRA), share the same space structure. This property makes it possible to construct a "combined" orthonormal base of L/sup 2/(R) which contains more than one wavelet functions. This kind of combined orthonormal wavelet bases are more flexible and are expected to be more efficient than the conventional wavelet bases in data compression, speech coding and image coding.