Cyrille Siclet

Design of BFDM/OQAM systems based on biorthogonal modulated filter banks

A new system of multicarrier modulation is described which takes advantage of the biorthogonality property to generalize the OFDM/OQAM technique into a biorthogonal frequency division multiplex scheme named BFDM/OQAM. A discrete-time analysis of this scheme leads to a discrete model of modulated transmultiplexer. Using a polyphase decomposition of this transmultiplexer, and assuming a distortion-free channel, we determine the mathematical conditions on the prototype filter allowing an exact cancellation of intersymbol and interchannel interference. Then, computationally efficient realizations of the modulators and demodulators are given. Lastly, some design examples are provided illustrating respective advantages of BFDM/OQAM and OFDM/OQAM.

Oversampled orthogonal and biorthogonal multicarrier modulations with perfect reconstruction

A new system of multicarrier modulation is described, which takes advantage of the biorthogonality property, to generalize the oversampled OFDM technique into a biorthogonal frequency division multiplex scheme named BFDM/QAM. A discrete-time analysis of this scheme leads to a discrete model of modulated transmultiplexer. Using a polyphase decomposition of this transmultiplexer, and assuming a distortion free channel, we determine the mathematical conditions on the prototype filters, allowing an exact cancellation of intersymbol and interchannel interference, i.e. a perfect reconstruction. Then, computationally efficient realizations of the modulators and demodulators are given. Lastly, some design examples are provided.

A fast design method for orthogonal modulated filter banks

A method is proposed to solve the unconstrained optimization problem related to the design of perfect re construction biorthogonal modulated filter banks. The basic idea is to take advantage of some attractive properties of the parametrization of the underlying lifting scheme-based structure. This approach allows the design of prototypes with thousands of coefficients. Nearly optimal results are presented for two different optimization criteria.

Analysis and design of OFDM/QAM and BFDM/QAM oversampled orthogonal and biorthogonal multi carrier modulations

A new system of multi carrier modulation is described, which takes advantage of the biorthogonality property, to generalize the oversampled OFDM technique into a biorthogonal frequency division multiplex scheme named BFDM/QAM. A discrete-time analysis of this scheme leads to a discrete model of modulated transmultiplexer. Using a polyphase decomposition of this transmultiplexer, and assuming a distortion free channel, we determine the mathematical conditions on the prototype filters, allowing an exact cancellation of intersymbol and interchannel interference. Then, computationally efficient realizations of the modulators and demodulators are given. Lastly, some design examples are provided, illustrating the respective advantages of BFDM/QAM and OFDM/QAM.