Derivation of analytical expressions for flexible PR low complexity FBMC systems

Compared to OFDM, Filter Bank Multi-Carrier (FBMC) systems can offer improved Time-Frequency Localization (TFL) features. In this paper, using the TFL criterion, we present an analytical derivation of FBMC prototype filters that insures the Perfect Reconstruction (PR) property for the two most important classes of FBMC systems: Filtered MultiTone (FMT) and OFDM with Offset QAM.