Artificial Neural Network Nonlinear Equalizer for Coherent Optical OFDM

The principle of orthogonal frequency-division multiplexing (OFDM) is to transmit the data through a large number of multiple orthogonal subcarriers. The coherent optical OFDM (CO-OFDM) is OFDM data that are being modulated to light frequency and being detected in coherent manner. CO-OFDM brings to optical communications the combination of two powerful techniques, coherent optical detection and OFDM. One of the primary challenges in the CO-OFDM system is to remove optical fiber nonlinear effects. This makes nonlinearity compensation a critical task of the CO-OFDM system. So a nonlinear equalizer (NLE) based on adaptive neuro-fuzzy inference system (ANFIS) is presented for CO-OFDM systems to mitigate nonlinearities on long-haul optical communications with high bit rate and bit error rate (BER)of the system. Various performance metrics were analyzed for the proposed ANFIS–NLE, and it is compared with existing techniques such as support vector machine and artificial neural network. From the experimental results, our proposed approach gives better performance in terms of BER and Q-factor on comparing with existing methods.

In this paper, it is proposed to enhance coherent optical orthogonal frequency-division multiplexing (OFDM) system by using index modulation in terms of bit error rate (BER) and spectral efficiency for different levels of the fiber nonlinearity. In the coherent optical OFDM with index modulation system (CO-OFDM-IM), the information is conveyed not only through activated subcarriers but also by indices of the active subcarrier that are dynamically updated at the transmitted symbol rates. Unlike the conventional coherent optical OFDM (CO-OFDM) system, adjusting the number of the active subcarriers in the CO-OFDM-IM system provides improved BER performance and reduction the signal peak-to-average-ratios, when the fiber nonlinearity becomes significant. The simulation results illustrate that the proposed CO-OFDM-IM system has better BER performance when the proposed CO-OFDM-IM system and the CO-OFDM system have similar spectral efficiency. Also, the CO-OFDM-IM system can provide better spectral efficiency than the CO-OFDM system at the low-to-medium order modulation such as BPSK, QPSK, and 16QAM.

We compare by simulation the performance of two techniques for generating polarization-multiplexed quadrature phase-shift keying with a high spectral efficiency (SE). The first is based on coherent optical orthogonal frequency-division multiplexing (CO-OFDM). The second, which we call Nyquist wavelength-division multiplexing (N-WDM), is based on the use of optical pulses having an “almost” rectangular spectrum, with bandwidth ideally equal to the Baud-rate. We show that the two techniques have the same sensitivity and SE under idealized assumptions. However, we found that CO-OFDM requires a much larger receiver bandwidth and proportionally faster speed of the analog-to-digital converters. We also tested CO-OFDM and N-WDM over long-haul nonlinear links and found N-WDM to outperform CO-OFDM in this case, too.

Fiber nonlinearity limits the use of coherent optical orthogonal frequency division multiplexing (CO-OFDM) to upgrade wavelength-division multiplexing (WDM) systems using legacy non-return-to-zero-on-off-keying (NRZ-OOK) channels. This letter proposes to compensate for the fiber nonlinearity of CO-OFDM with NRZ-OOK neighbors by combining digital signal processing (DSP)-based self-phase modulation (SPM) post-compensation with pilot-tone-based cross-phase modulation (XPM) compensation. The simulation results demonstrate that the optimum low-pass filter bandwidth for pilot-tone-based XPM compensation depends on the pilot-to-signal ratio value and launch optical power. Our method allows a 4-dB increase in the launch power for a 40-Gb/s single polarization CO-OFDM channel placed in the middle of six 10.7-Gb/s NRZ channels in a 50-GHz space and 1 200-km WDM system.

One of the essential aspects of life is communication and in all communication systems, modulation and demodulation perform a crucial role in the transmission of transmitter-to-receiver data. Using various multiplexing techniques such as FDMA, CDMA and TDMA to work with the communication system, faced various problems such as low bit rate, multi-path fading, ISI and time dispersion. The incorporation of the OFDM approach gives an attractive solution to the aforementioned issues. OFDM transmitters and OFDM receivers with different modulation techniques are included in the OFDM-based different communication system. CO-OFDM was recently suggested and its extreme robustness against polarisation mode dispersion and chromatic dispersion was demonstrated in proof-of-concept transmission experiments. Optical fiber-based wired networks and also free space wireless networks require a premier technique for multiplexing i.e. CO-OFDM. In this paper, we investigated the performance of various modulation techniques which highlights several benefits such as channel robustness and greater efficiency of the available spectrum where multicarrier is used as high data rate bit streams from a single source are divided into the number of small subcarriers. OFDM is commonly regarded as discrete multitone (DMT) in this case. So in this review article, OFDM systems are also incorporated with their advantages and applications.

Coherent optical OFDM (CO-OFDM) combined with orthogonal band multiplexing provides a scalable and flexible solution for achieving ultra high-speed rate. Among many CO-OFDM implementations, digital Fourier transform spread (DFT-S) CO-OFDM is proposed to mitigate fiber nonlinearity in long-haul transmission. In this paper, we first illustrate the principle of DFT-S OFDM. We then experimentally evaluate the performance of coherent optical DFT-S OFDM in a band-multiplexed transmission system. Compared with conventional clipping methods, DFT-S OFDM can reduce the OFDM peak-to-average power ratio (PAPR) value without suffering from the interference of the neighboring bands. With the benefit of much reduced PAPR, we successfully demonstrate 1.45 Tb/s DFT-S OFDM over 480 km SSMF transmission.

A real-time receiver for the coherent optical orthogonal frequency-division multiplexing (CO-OFDM) detection is realized in a field-programmable gate array (FPGA). Each building block of the CO-OFDM receiver, such as symbol synchronization, channel estimation, and phase estimation is described and discussed in respect of special technical requirements of real-time implementation. The real-time receiver is successfully demonstrated with a receiver sampling rate of 2.5-Gsamples/s to receive a subband of 53.3-Gb/s multiband CO-OFDM signal. The measured bit error rate (BER) is as low as 3.7 × 10-8 which is a record in real-time or offline CO-OFDM demonstration.

Channel equalization and phase noise compensation are required in coherent optical orthogonal frequency-division multiplexing (CO-OFDM) transmission systems for reliable performance. In general, redundant data such as training symbols and pilot tones are necessary for channel and phase noise estimation in quadrature amplitude modulation (QAM) based CO-OFDM systems, which reduces the spectral efficiency of the system. Especially, in the coherent passive optical network (PON), the redundancy increases as the number of subscribers increases. In this letter, we propose a differential amplitude shift keying (DAPSK)-based CO-OFDM transmission for PON system, which does not require channel equalization and phase noise compensation processes. The proposed DAPSK-based CO-OFDM transmission was experimentally demonstrated, and the performance according to receiver launched power and the number of subcarriers was compared with QAM-based CO-OFDM.

With the rise of quantum computing and sophisticated cyber-attacks, traditional cryptographic methods face challenges in securing optical physical layer data transmission. This study proposes what we believe to be a novel approach by integrating biological genetic variation mechanisms (BGVM) with signal encryption in coherent optical orthogonal frequency division multiplexing (CO-OFDM) system. A mapping model between genetic structures and optical orthogonal frequency division multiplexing (OFDM) signals is constructed, and a dual encryption mechanism including mutation-guiding encryption mechanism (MGEN) and reorganization-guiding encryption mechanism (RGEN) is established to disrupt the data positions on subcarriers. In the system, the key sequences are generated by a four-dimensional hyperchaotic system, which exhibits good randomness and unpredictability. Experiment is successfully conducted to realize physical layer secure transmission of the CO-OFDM signal over 80 km standard single mode fiber (SSMF). The proposed scheme has low time complexity and the key space is extended to 101194 approximately, when the number of subcarriers N = 256.

With the increase in demand of bandwidth hungry applications, it is recommended to develop a high data rate system for long-haul coherent optical orthogonal frequency division multiplexing (CO-OFDM). At a very high data rate, CO-OFDM signal experiences deterioration. At 50 Gbps, the signal experiences ISI effect and in order to overcome this ISI effect, a prolonged system has been developed to reach optimal ISI compensation technique. One of the prominent and competent techniques to enhance system performance is (SDCM) symmetrical dispersion compensation module. In order to make system more bandwidth efficient 4-QAM (Quadrature Amplitude Modulation) with gray coding is applied and manual adjustments are done at receiver phase to decrease error vector magnitude (EVM). OFDM data stream is successfully transmitted over a distance of 4,000 km to compete the demand of long-haul CO-OFDM system. With different launch powers and laser linewidths, the performance of the system is enhanced in terms of Q-factor, SNR and EVM.

Coherent optical orthogonal frequency-division multiplexing (CO-OFDM) is a promising technique due to its high spectral efficiency and dispersion tolerance. However, CO-OFDM is sensitive to the carrier frequency offset (CFO) which is caused by the frequency difference between the transmitter laser and local oscillator, and linear phase noise (LPN) which is closely related to the laser linewidth. The existing of CFO and LPN can introduce the inter-carrier interference (ICI) and cause the rotation of constellations, thus degrade the system performance. In this paper, we propose to dynamically and jointly track and compensate the CFO and LPN by utilizing the Gaussian particle filter (GPF) and extended kalman filter (EKF). Firstly, the GPF and EKF can dynamically track the CFO and LPN in a real-time manner, thus can achieve accurate estimation result at even high phase noise variance. Secondly, GPF can successfully prevent the particle impoverishment (PI) problem of the conventional sequential importance resampling (SIR) PF, by recursively updating the mean and variance of the particles based on the weights computed from the posterior density and the designed importance sampling function. Thirdly, the joint estimation of CFO and LPN utilizes merely one OFDM symbol, which ensures the effective data transmission efficiency. Also, EKF can convert the nonlinear problem into linearity which helps to reduce the computation complexity. Simulations are carried out to verify the accuracy, robustness and efficiency of the proposed approach by considering the estimation error variance with the Cram´er-Rao lower bound (CRLB), the convergence speed of the GPF and EKF, and the real-time dynamic tracking errors.

The imperatively excellent performance of wavelength-division multiplexing (WDM) transmission over a fiber optic link, demands flat, i.e. not wavelength-selective transfer function. This implies that, mostly during installation and commissioning of a WDM-aimed fiber link, it is of interest to measure its frequency response, by complex stimulus-response tests using a tunable laser source coupled with an optical spectrum analyzer. On the contrary, a simple and practically costless alternative that we propose here, is testing in time domain by means of the ubiquitous optical time-domain reflectometer (OTDR), considering its distinctly reflective trace pattern as approximation of the fiber channel two-way power-delay profile, whose rms delay spread is the straightforward indicator of the fiber attenuation vs. wavelength characteristics’ unflatness qualifying the fiber as either appropriate for WDM transport, or requiring piecewise “flattening” of the transfer function by applying coherent optical orthogonal frequency-division multiplexing (CO-OFDM). Specifically, the proposed OTDR – aided WDM suitability fiber test model applied on the exemplar traces, showed significant peak-to-peak DWDM spectrum unflatness, i.e. the pronounced frequency selectivity strongly indicating the need for introducing CO-OFDM on top of WDM. This was found to be monotonically tracked by the WDM transmission performance – the bit-error rate (BER) values in particular, measured with and without the CO-OFDM applied.

Orthogonal frequency-division multiplexing (OFDM) is resistant to frequency selective fading due to the longer symbol duration. However, mobile applications channel timing fluctuations in one OFDM signal cause intercarrier-interference (ICI), which reduces performance. This research presented the support vector regression (SVR) model-based channel estimation technique for coherent optical communication systems. Due to the coherent optical orthogonal frequency-division-multiplexed (COOFDM) system, a channel model is developed that includes linear fibre dispersion effects, noise from optical amplifiers, and inter-carrier interference generated by laser phase noise. As a result, for such a system, an accurate channel estimate is essential. Based on this concept, derivation of channel estimation and phase estimation for the system of CO-OFDM. The proposed method is tested and evaluated using MATLAB software. Computer simulation results for several standard methods such as extreme learning machines (ELM) and artificial neural networks (ANN) validate the feasibility of the suggested methodology. The CO-OFDM system’s transmission experiments and computer simulations prove that the support vector machine-based model following pilot-assisted phase estimation gives the optimal performance. Therefore, results depicted that the channel estimation utilizing the SVR model gives good performance than the other methods, thus the proposed model gives an accurate CE process, respectively.

In this study, the authors presented discrete Fourier transform (DFT)-based channel estimation algorithms for a coherent optical orthogonal frequency division multiplexing (CO-OFDM) transmission system. Influence of the proposed algorithms to the performance and computational complexity of the CO-OFDM system was analysed and compared with other published algorithms. Their simulation results demonstrated that the improved DFT-based channel estimation algorithms are significantly efficient in our experimental conditions. Those algorithms can be considered as efficiently compromised systems in balance out the outcome of performance and the requirement on computational complexity. Such relatively economic and practical approaches have provided an optimistic prospect in studies of transmission systems for future optical communications.

For the first time, we propose and experimentally verify a novel low-complexity orthogonal least square (OLS) based radial basis function (RBF) neural network (NN) nonlinear equalizer for high-speed coherent optical orthogonal frequency division multiplexing (CO-OFDM) system. Its ability to compensate nonlinear impairments as well as linear impairments is comprehensively evaluated and compared with the linear equalizer. The impact of training overhead on system performance is also investigated. Results show that in a single-channel 40-Gb/s 16-quadrature amplitude modulation CO-OFDM system, with the training overhead of 4%, the maximum transmission distance is extended to 800 km at Q threshold of 8.7 dB, and RBF-NN outperforms the linear equalizer by 2.8 and 5.6 dB Q -factors after 800 and 600 km transmissions, respectively.