Influence of pulse shaping filters on cyclostationary features of 5G waveforms candidates

Abstract Spectrally efficient waveforms have been extensively investigated in the last few years for the upcoming 5G systems. Filter Bank Multicarrier (FBMC) and Generalized Frequency Division Multiplexing (GFDM) are two of the best contenders that offer very low out of band emissions. To make better use of the available spectral resources, we propose coupling the 5G waveforms candidates with Cognitive Radio (CR). To perform spectrum sensing, we rely on cyclostationary detection. Although some papers have addressed second order cyclic features of the aforementioned waveforms, they are special cases of the results presented herein. In fact, in the present work, we first derive the explicit theoretical mth order pth conjugate cyclic cumulants of both FBMC and GFDM. Our analysis reveals that FBMC has distinctive cyclostationary properties. GFDM exhibits rich cyclic features as a result of the block filtering, the Cyclic Prefix (CP) insertion and the use of subsymbol guards. The obtained results are then exploited for signal detection purposes. Detection probability of FBMC is the best among the considered waveforms, followed by GFDM, where both outperform OFDM detection, specially if the used CP is low.