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Space-division multiplexing (SDM) has been expected to support the continuous growth of transmission capacity. However, it suffers from high computation complexity that limits its physical implementations. In this paper, we propose and experimentally demonstrate a low-complexity MIMO equalization method to leverage the sparsity of weights and reduce the complexity by L1&L2-regularization in long-haul space-division multiplexing (SDM) systems. The L1-regularization finds the sparse solution of equalizer filters and substitutes it for optimal solution, reducing the complexity with performance degradation. On the other hand, the L2-regularization tends to produce a smoother estimation than L1 regularization and is therefore more robust to large variance. We conduct a 39.87-GBaud QPSK coherent optical transmission experiment based on a 4-core coupled-core fiber with the transmission distance from 1206-km to 7236-km. Comparisons on the equalization performance and computational complexity show that the sparse equalizer using L1&L2-regularization achieves a 30% reduction in complexity at the similar system performance, compared with the traditional time-domain MIMO.
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http://dx.doi.org/10.1364/OE.505077 | DOI Listing |
We propose a multi-input multi-output (MIMO) equalizer architecture with adaptive intermodal interference cancellation without an iterative process for space-division multiplexed (SDM) transmission to mitigate the effect of the mode-dependent loss (MDL). This equalizer uses a MIMO filter to compensate for coupling and spatial mode dispersion and another MIMO filter that generates replicas of intermodal interference from the tentative decision results of the outputs of the first MIMO filter to cancel the interference. The coefficients of the two MIMO filters are adaptively controlled by stochastic gradient descent and gradient calculation with back propagation to minimize the loss function, which consists of the last outputs after interference cancellation.
View Article and Find Full Text PDFWe propose to track state of polarization (SOP) rotation by utilizing chirp pilots processed through fractional Fourier transform (FrFT). Superimposed on dual-polarization data signal, the chirp pilots with different FrFT rotation orders can converge to fractional energy peaks and then be distinguished by combining FrFT with MIMO structure. Consequently, SOP rotation resulting in energy distribution can be estimated by leveraging aggregated peaks in the matched fraction domain.
View Article and Find Full Text PDFBenefiting from the time slot orthogonality of Alamouti coding, the simplified coherent system for PON downstream using a single-polarization coherent receiver can achieve polarization-insensitive reception via a MIMO equalizer without PBS. However, frame synchronization (FS) and frequency offset estimation (FOE) in the digital signal processing (DSP) are still affected by link noise and polarization rotation, and it is difficult to make full use of this orthogonal property to achieve polarization insensitivity. To solve these problems, we propose and demonstrate a reliable and efficient preamble design for the Alamouti code-based simplified coherent system to realize the three DSP functions consisting of polarization-independent FS, polarization-independent FOE, and fast channel estimation (CE).
View Article and Find Full Text PDFIn modern optical communication systems, mode division multiplexing (MDM) faces challenges such as intermodal interference, mode coupling, and differential mode delay. Traditional multiple input multiple output (MIMO) equalization algorithms, including the constant modulus algorithm (CMA), have shown limitations in terms of convergence speed, precision, and robustness. In this work, a CMA-Adam-NAG equalization algorithm is proposed, which integrates the strengths of the adaptive learning capability of the adaptive moment estimation method (Adam) and predictive updates of the Nesterov accelerated gradient method (NAG) into CMA.
View Article and Find Full Text PDFSelf-homodyne mode division multiplexing (SH-MDM) is considered a promising candidate for achieving high capacity and low complexity in next-generation optical interconnects. However, practical implementation remains challenging with channel impairments caused by transmission mechanisms, particularly mode coupling (MC) and differential mode group delay (DMGD), as well as receiver hardware impairments (RHI) originating from imperfect coherent receivers, including IQ skew, IQ amplitude imbalance, and IQ phase imbalance. To address these challenges, this paper, for the first time, proposes a recombinant real-Björck sequences assisted frequency-domain multiple input multiple output (RRB-FD-MIMO) scheme to achieve the joint equalization of MC, DMGD and RHI .
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