Filter banks allowing perfect reconstruction
Signal Processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discrete-time signal processing
Discrete-time signal processing
Multirate systems and filter banks
Multirate systems and filter banks
Algorithm 735: Wavelet transform algorithms for finite-duration discrete-time signals
ACM Transactions on Mathematical Software (TOMS)
Wavelets and subband coding
Efficient realizations of encoders and decoders based on the 2-D discrete wavelet transform
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
A Programmable Parallel VLSI Architecture for 2-D Discrete Wavelet Transform
Journal of VLSI Signal Processing Systems - Parallel VLSI architectures for image and video processing
Wavelet Image and Video Compression
Wavelet Image and Video Compression
Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications
Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications
Design framework for the implementation of the 2-D orthogonal discrete wavelet transform on FPGA
FPGA '03 Proceedings of the 2003 ACM/SIGDA eleventh international symposium on Field programmable gate arrays
Design and Implementation of a Generic 2-D Biorthogonal Discrete Wavelet Transform on an FPGA
FCCM '01 Proceedings of the the 9th Annual IEEE Symposium on Field-Programmable Custom Computing Machines
IEEE Transactions on Signal Processing
Boundary filter optimization for segmentation-based subband coding
IEEE Transactions on Signal Processing
Novel area-efficient FPGA architectures for FIR filtering with symmetric signal extension
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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Perfect reconstruction multirate filter banks theory was built on the assumption of infinite length signals. For processing limited support signals, e.g. an image, discontinuities exist at the signal border. The problem of which values to use at these boundaries cannot be ignored if perfect reconstruction is required. This paper presents our own investigation into the different techniques adopted to deal with this problem. It shows precisely what type of borders management should be applied and especially how, according to the underlying constraints to ensure perfect reconstruction two-channel multirate filter banks implementation on finite length signals with a zero-delay transfer function. This gives numerically the minimum number of extra samples to be added at the signal's and subband's edges; a vital issue for many filter-banks-based architectures like with the discrete wavelet transform (DWT).