A low-complexity eigenvalue decomposition based-GFDM transceiver for self-interference elimination in next-generation wireless systems

Generalized Frequency Division Multiplexing (GFDM) is a flexible multi-carrier scheme and has a potential to overcome some of the limitations of orthogonal frequency division multiplexing (OFDM) specifically for diverse use cases of beyond 5G (B5G)/ 6G systems. However, as a non-orthogonal waveform, GFDM suffers from intrinsic self-interference, such as inter-subsymbol interference (ISSI) and inter-subcarrier interference (ISCI). To mitigate self-interference, a low-complexity modified eigenvalue decomposition-based GFDM system deploying a triangular-raised cosine (TRC) filter is proposed. Self-interference elimination is achieved through pre-processing and post-processing techniques. A sufficient condition for ISCI elimination is derived, and the impact of filter roll-off on ISCI-free transmission is examined. In addition to it, an analytical expression for the symbol error rate (SER) in [Formula: see text] fading channels with [Formula: see text]-PSK and [Formula: see text]-QAM modulations is derived. Simulations confirm the superiority of the proposed GFDM system over Conventional GFDM (CGFDM).