Multi-carrier (MC) signaling is currently in the forefront of a myriad of systems, either wired or wireless, due to its high\nspectral efficiency, simple equalization, and robustness in front of multipath and narrowband interference sources.\nDespite its widespread deployment, the design of efficient architectures for MC systems becomes a challenging task\nwhen adopting filter bank multi-carrier (FBMC) modulation due to the inclusion of band-limited shaping pulses into\nthe signal model. The reason to employ these pulses is the numerous improvements they offer in terms of\nperformance, such as providing higher spectral confinement and no frequency overlap between adjacent subcarriers.\nThese attributes lead to a reduced out-of-band power emission and a higher effective throughput. The latter is indeed\npossible by removing the need of cyclic prefix, which is in charge of preserving orthogonality among subcarriers in\nconventional MC systems. Nevertheless, the potential benefits of FBMC modulations are often obscured when it\ncomes to an implementation point of view. In order to circumvent this limitation, the present paper provides a unified\nframework to describe all FBMC signals in which both signal design and implementation criteria are explicitly\ncombined. In addition to this, we introduce the concept of flexible FBMC signals that, unlike their traditional MC\ncounterparts, do not impose restrictions on the signal parameters (i.e., symbol rate, carrier spacing, or sampling\nfrequency). Moreover, our framework also proposes a methodology that overcomes the implementation issues that\ncharacterize FBMC systems and allows us to derive simple, efficient, and time-invariant transmitter and receiver\narchitectures.
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