Filter banks allowing perfect reconstruction
Signal Processing
Multirate systems and filter banks
Multirate systems and filter banks
Microwave Mobile Communications
Microwave Mobile Communications
A Time-Frequency Well-localized Pulse for Multiple Carrier Transmission
Wireless Personal Communications: An International Journal
Tight Weyl-Heisenberg frames in l2(Z)
IEEE Transactions on Signal Processing
DFT-modulated filterbank transceivers for multipath fading channels
IEEE Transactions on Signal Processing
Frame-theoretic analysis of oversampled filter banks
IEEE Transactions on Signal Processing
Design techniques for orthogonal Modulated filterbanks based on a compact representation
IEEE Transactions on Signal Processing
Analysis and design of OFDM/OQAM systems based on filterbank theory
IEEE Transactions on Signal Processing
ISI-free FIR filterbank transceivers for frequency-selectivechannels
IEEE Transactions on Signal Processing
Nonorthogonal pulseshapes for multicarrier communications in doubly dispersive channels
IEEE Journal on Selected Areas in Communications
Time-varying FIR transmultiplexers with minimum redundancy
IEEE Transactions on Signal Processing
EURASIP Journal on Advances in Signal Processing - Special issue on filter banks for next-generation multicarrier wireless communications
Hi-index | 0.01 |
This paper presents a theoretical analysis of oversampled complex modulated transmultiplexers. The perfect reconstruction (PR) conditions are established in the polyphase domain for a pair of biorthogonal prototype filters. A decomposition theorem is proposed that allows it to split the initial system of PR equations, that can be huge, into small independent subsystems of equations. In the orthogonal case, it is shown that these subsystems can be solved thanks to an appropriate angular parametrization. This parametrization is efficiently exploited afterwards, using the compact representation we recently introduced for critically decimated modulated filter banks. Two design criteria, the out-of-band energy minimization and the time-frequency localization maximization, are examined. It is shown, with various design examples, that this approach allows the design of oversampled modulated transmultiplexers, or filter banks with a thousand carriers, or subbands, for rational oversampling ratios corresponding to low redundancies. Some simulation results, obtained for a transmission over a flat fading channel, also show that, compared to the conventional OFDM, these designs may reduce the mean square error.