Performance Analysis of Eigendecomposition-based GFDM in Generalized $\alpha-\mu$ Fading Channels for 5G/6G Wireless Communication Applications

Generalized frequency division multiplexing (GFDM) offers more flexibility in choosing subsymbols, subcarriers, and pulse-shaping filters for efficient data transmission. Due to inherent non-orthogonality, GFDM produces intrinsic self-interference, namely inter-subsymbol interference (ISI) and inter-subcarrier interference (ICI). An Eigendecomposition-based GFDM (ED-GFDM) utilizes a matched filter (MF) receiver, this architecture can mitigate self-interference without any noise enhancement. Nevertheless, in wireless channels, the propagation of ED-GFDM is affected by channel characteristics like nonlinearity and non-homogeneity. Usually, a generalized
$\alpha-\mu$
fading channel is modeled to capture the channel characteristics in terms of fading parameters
$\alpha$
and
$\mu$
. Specific combinations of
$\alpha$
and
$\mu$
result in various fading environments like Rayleigh, Exponential, Nakagami-m, etc. This paper aims to derive accurate closed-form expressions for Symbol Error Rate (SER) and ergodic channel capacity for ED-GFDM using
$\mathcal{M}$
-PSK modulation with a MF receiver. Obtained simulation results are analyzed and validated with the expected theoretical results.