Closed form of the Power Spectral Density for GFDM signals

Abstract

Due to its desirable characteristics, a generalised multicarrier modulation called Generalized Frequency Division Multiplexing (GFDM), has widespread use in contemporary communication systems. Several methods, such as spectral precoding and pulse shaping, have been developed to shape multicarrier signals' power spectral density (PSD) due to its comparatively high out-of-band radiation. We arrive at a general PSD formulation that is applicable to pulses employed in various subblocks. The wide-sense cyclostationarity and properness statistical hypotheses are the only ones that apply to the vector-valued sequence modulating the active subcarriers. It is discussed whether the based on competence to certain well-known multicarrier systems. The applicability of the GFDM system result is examined.