Perfect reconstruction conditions and design of oversampled DFT-modulated transmultiplexers
EURASIP Journal on Applied Signal Processing
Foundations and Trends in Signal Processing
IEEE Transactions on Signal Processing
Optimization of synthesis oversampled complex filter banks
IEEE Transactions on Signal Processing
Journal of Signal Processing Systems
Bound ratio minimization of filter bank frames
IEEE Transactions on Signal Processing
Systematic construction of real lapped tight frame transforms
IEEE Transactions on Signal Processing
Optimized paraunitary filter banks for time-frequency channel diagonalization
EURASIP Journal on Advances in Signal Processing - Special issue on filter banks for next-generation multicarrier wireless communications
EURASIP Journal on Advances in Signal Processing - Special issue on filter banks for next-generation multicarrier wireless communications
Super Gabor frames on discrete periodic sets
Advances in Computational Mathematics
Hi-index | 35.70 |
Tight Weyl-Heisenberg frames in l2(Z) are the tool for short-time Fourier analysis in discrete time. They are closely related to paraunitary modulated filter banks and are studied here using techniques of the filter bank theory. Good resolution of short-time Fourier analysis in the joint time-frequency plane is not attainable unless some redundancy is introduced. That is the reason for considering overcomplete Weyl-Heisenberg expansions. The main result of this correspondence is a complete parameterization of finite length tight Weyl-Heisenberg frames in l2(Z) with arbitrary rational oversampling ratios. This parameterization follows from a factorization of polyphase matrices of paraunitary modulated filter banks, which is introduced first