Wavelets and subband coding
Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
JPEG 2000: Image Compression Fundamentals, Standards and Practice
JPEG 2000: Image Compression Fundamentals, Standards and Practice
IEEE Transactions on Signal Processing
Efficient reconstruction from frame-based multiple descriptions
IEEE Transactions on Signal Processing - Part II
Linear boundary extensions for finite length signals and paraunitary two-channel filterbanks
IEEE Transactions on Signal Processing
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In this paper, we consider the problem of processing finite-length signals by means of critically sampled or oversampled filter banks. Based on a polyphase matrix factorization of the filter bank, we propose a realization adaptation that does not make any assumption about the signal values outside the support of the input signal, contrary to what is done, for instance, when using zero padding, periodic repetition or extension by symmetry. The proposed procedure has several advantages. In particular, we show that it preserves the perfect reconstruction and the general properties of the filter bank.