In this paper, a low-complexity joint compensation scheme of carrier recovery (JCSCR) for coherent free-space optical (CFSO) communication is proposed. We applied the carrier recovery joint compensation approach to a CFSO communication system in the quadrature phase shift keying (QPSK) modulation format. A signal-preprocessing stage, which effectively avoided the repetitive operations found in traditional carrier recovery schemes, was proposed. Unlike in existing carrier recovery algorithms, the modulated phase of the received signal could be accurately removed using only the sum and subtraction of real absolute values in the signal-preprocessing stage, greatly reducing the complexity of the operation. Since this algorithm avoids the traditional fourth operation, the system’s complexity is reduced while additional noise generated by fourth cross-terms would be prevented and system noise immunity would be greatly enhanced. In addition, this algorithm uses joint compensation of phase errors in the final compensation stage, further reducing the complexity of the computation of the whole algorithmic scheme. A 10 Gbps QPSK CFSO communication transmission experiment was conducted in an atmospheric turbulence channel to verify the proposed technique and improvement in receiver sensitivity.

The efficient and cost-effective suppression of atmospheric turbulence effects in free-space optical (FSO) communication poses a significant challenge. To address this challenge, a carrier frequency offset estimation (FOE) scheme based on frame-synchronous training sequence (FSTS) is proposed, which can be applied to spatial diversity polarization multiplexing (PM) coherent FSO communication system. The proposed scheme integrates the functions of frame synchronization (FS) and FOE by designing distinct training sequences for the X and Y polarizations. Specifically, the FOE scheme achieves high accuracy, wide range, low complexity, and multi-format versatility while maintaining FS accuracy. Simulation results for PM 4/16-quadrature amplitude modulation (QAM) demonstrate the feasibility and generality of the proposed scheme. Moreover, when combined with the spatial diversity reception under strong and weak turbulence conditions, the proposed algorithm exhibits higher receiver sensitivity compared to the conventional training sequence (TS)-based FOE algorithm. The advantages of this scheme make it highly promising for high-speed coherent FSO communications across multiple modulation formats.

In this paper, a symmetric training sequence-based (STSB) carrier frequency offset estimation (FOE) scheme for coherent free-space optical (CFSO) communication is proposed. In the proposed technique, we exploit the training-sequence-based (TSB) carrier FOE algorithm to the CFSO communication system in the quadrature phase-shift keying (QPSK) modulation format. A symmetric training sequence, tailored to the carrier FOE algorithm for atmospheric turbulence channel, is formulated to accurately identify the correct temporal position of a data frame from received signals. Unlike the 4th power algorithm, the proposed algorithm requires only the identified training sequence and the symmetric sequence of the original training sequence in the FOE stage, performing a single multiplication to accurately remove the signal modulation phase. In this way, the proposed technique significantly improves the estimation accuracy. Furthermore, by avoiding the time-consuming 4th power operation, the proposed method reduces the computational complexity while expanding the FOE range. Therefore, when compared with existing algorithms, our proposed technique can achieve more accurate timing, a wider estimation range, and lower complexity. A 10-Gbps QPSK CFSO communication transmission experiment with different turbulence channels was carried out to validate the proposed technique and the improvement in receiver sensitivity.