New Proposals for the Analysis and Design of Linear-Phase FBMC/OQAM Transmultiplexers

Didier Pinchon (1) , Pierre Siohan

1 IMT - Institut de Mathématiques de Toulouse UMR5219

The use of filterbank formalism has now become a current practice to analyze and design MultiCarrier Modulation (MCM) systems. In this note, we reuse this powerful tool to revisit the Orthogonal Frequency Division Multiplexing (OFDM)/Offset Quadrature Amplitude Modulation(OQAM) or, equivalently, the Filter Bank Multi-Carrier (FBMC)/OQAM scheme. Focusing on symmetric OFDM/OQAM systems with a number of subcarriers being a multiple of 4, we, firstly propose a complete characterization of perfect, or nearly perfect, reconstruction FBMC systems using classical tools of the linear algebra theory. In addition, we introduce two new families of prototype filters that, with a reduced number of parameters, outperform classical solutions from the literature for minimization of the total interference criterion.

Domaines: Mathématiques générales [math.GM]

Didier Pinchon, Pierre Siohan. New Proposals for the Analysis and Design of Linear-Phase FBMC/OQAM Transmultiplexers. 2021. ⟨hal-03184738⟩