MMSE-SIC-based Detection for Mode-dependent Loss Impaired OAM-MIMO Free Space Optical Wireless Communications

In the realm of free-space optical (FSO) communication systems, the utilization of orbital angular momentum (OAM) multiplexing has garnered significant attention. However, OAM beams are subject to atmospheric turbulence (AT) during transmission in free space, resulting in distortions of the phase front, intermodal crosstalk, and mode-dependent loss (MDL). While techniques such as adaptive optics and digital signal processing can mitigate these effects, inconsistencies in OAM mode performance persist due to MDL. Some studies have evaluated an MDL-impaired mode division multiplexing system for non-unitary multiple input multiple output (MIMO) channels based on maximum likelihood detection. Nevertheless, the computational complexity remains considerably higher compared to simpler yet suboptimal advanced MIMO decoders, such as successive interference cancellation (SIC) with zero-forcing/minimum mean square error (ZF/MMSE). On the other hand, an OAM mode and radial index are two distinct indices of Laguerre-Gaussian (LG) modes, with the potential to carry a large amount of information. To the best of our knowledge, no prior studies have explored the impact and mitigation strategies for MDL induced by atmospheric turbulence in an FSO system utilizing both OAM mode and radial index multiplexing with MMSE-SIC receiver. This paper introduces OAM multiplexing holography to generate OAM modes. We perform both analytical and numerical analyses of the orbital angular momentum spectra associated with distorted single-mode and multiplexed LG beams. This is achieved by generating holograms, incorporating random phase screens along the propagation path, and varying the refractive index structure constants. We mathematically develop and simulate an MMSE-SIC receiver for OAM multiplexed FSO for different radial values for the first time and compared its BER to Zero Forcing-SIC and K-best detectors. Additionally, orthogonal space-time block coding is employed at the transmitter to enhance the overall performance of the system.