A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multirate systems and filter banks
Multirate systems and filter banks
Optimized quadtree for Karhunen-Loeve transform in multispectral image coding
IEEE Transactions on Image Processing
Optimal transform coding in the presence of quantization noise
IEEE Transactions on Image Processing
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In this paper, the relization of piecewise periodized wavelet transform (PPWT) is introduced and some interesting properties are discussed. The signals in both the time and frequency domains are of finite Length. The inverse of the transform exists if the inverse of all the N wavelet kernels exits. Under certain conditions, a time shift of the input leads to a shift in the output of another non-uniform filter bank sub-system. The frequiency response of each non-uniform filter bank sub-system consists of a set of frequency components with fundamental frequency different from the input frequency. Some applications, such as adaptive regional image processing techniques, analysis of aperiodic switching systems, and design of frequency to voltage converters, are readily facilitated by the transform.