Probability density function of noise statistics for optically pre-amplified DPSK receivers with optical Mach-Zehnder interferometer demodulation

We present explicitly semi-analytical probability density functions (pdf’s) of noise statistics in DPSK receivers with Mach-Zehnder interferometer (MZI) demodulation with considering the phase noise for the first time. Error performance of DPSK receivers with MZI demodulation is evaluated by using the calculated pdf’s. It is found that DPSK receivers with MZI demodulation and balanced detection are less sensitive to phase noise impact than those with the single-port detection to some extent. Moreover, it is found that ASE-ASE beat noise induced pdf difference in balanced detection compared to single-port detection may result in ∼3 dB improvement in receiver sensitivity mainly depending on optical filtering, ASE-amplified spontaneous emission. Therefore, the measured receiver sensitivity improvement by using balanced detection consist of the improvements due to signal energy difference and ASE-ASE beat noise induced pdf difference compared to single-port detection.     

光纤通信系统中差分相位调制平衡接收机系统误码率的精确计算

采用高斯函数近似方法以及傅里叶变换法分析推导出高速光纤通信技术中所采用的差分相位调制(differential phase-shift keying,DPSK)-平衡接收机系统中的差分非线性相位噪声△ψ的精确表示,把它应用于考虑了所有对接收机误码产生影响的噪声计算公式中,最终得出了DPSK-平衡接收机误码率最终完整的数学表达式,并用VPI软件进行了仿真验证.     

平衡接收直接检测DPSK接收机噪声统计特性分析

以带光前置放大器且采用MZI相干和直接检测方式的DPSK接收机为分析模型,从考虑线性附加噪声和非线性相位噪声入手,对噪声统计特性进行了数学分析,并推导出了概率密度函数和BER公式。结果表明:数值计算结果与已发表论文的试验结果较为吻合;非线性相位噪声会对系统性能造成严重影响;高斯近似法不能很好的分析此模型。     

80Gbits/s DPSK receiver-sensitivity improvement using balanced gain-compression and amplification inside an SOA balanced-receiver

A novel technique for 2R-regeneration (re-shaping and re-amplification) of received RZ or NRZ 80 Gbit/s DPSK data is demonstrated using numerical simulations. The technique is based on using a single SOA balanced-receiver for balanced gain-compression and balanced amplification of demodulated DPSK (OOK) data. The utilized SOA is polarization-insensitive with 100 ps recovery time, and the tested data is 2²³-1 PRBS long. The balanced configuration of co-propagating orthogonally-polarized and complementary OOK streams inside SOA introduce a negligible pattern-dependence at system output. The receiver has been tested by wide-range of input random phase and amplitude-noise showing a remarkable improvement in data quality-factor. The BER demonstrates a receiver-sensitivity improvement by more than 4 dB in both cases of single-ended and balanced-detected signals.     

Performance investigation of 110-Gbps optical MSK system using a Quad Mach-Zehnder IQ modulator

In this paper, numerical simulation is conducted to investigate the generation, transmission and detection of a 110 Gbps optical Minimum Shift Keying (MSK) signal. The transmitter has been designed using a Quad Mach-Zehnder IQ Modulator. At the transmitter, a 110 Gbps optical MSK signal with constant envelope and a continuous phase is generated by combining signals of I-arm and \(90^\circ\) phase shifted of Q-arm. Error-free transmission of 110 Gbps optical MSK signal is achieved after traversing a distance of 240 km, also a comparison is made with respect to Differential Phase Shift Keying (DPSK) to show its effectiveness. At the receiver side, the original signal is recovered through a balanced detection method, with a power penalty of around 3.34 dB. Also, BER curves of different bit rates for MSK are studied ranging from 40 to 120 Gbps and found that maximum 110 Gbps can be achieved error-free. The optical spectrum of both MSK and DPSK signals are observed and found that MSK is having narrower main lobes with smaller side lobes compared with that of DPSK, which in turn results in an increase in spectral efficiency and reduction in intersymbol interference.     

Balanced differential phase-shift keying detector performance: an analytical study

A simple explanation of the observed approximately 3 dB advantage of differential phase-shift keying (DPSK) balanced detection over the intensity-modulated directly detected (IM-DD) type detection that can be easily used for system engineering purposes is presented. A Gaussian approximation is used to describe the tails of the detected noisy random signals leading to an analytical explanation of the observed approximately 3 dB advantage of DPSK balanced detection over the IM-DD type detection.     

Analysis of a DPSK soliton transmission system

We present a closed form expression to analyse the error performance of a differential phase-shift keying (DPSK) digital modulation format in an optical soliton communication system. In the analysis we include the effect of Gordon-Haus jitter, which is mainly due to the amplified spontaneous emission noise of the amplifiers. Gordon-Haus jitter is found to be less significant when the bit period is 15 times greater than the jitter variance and becomes more significant when the signal-to-noise ratio is greater than 20 dB. Due to a good bit error rate (BER) performance (BER ≈ 10⁻²⁰at SNR= 21 dB), the DPSK modulation format has a potential application for a high-bit-rate and low-noise soliton communication system.     

光放大器的噪声分析及光前放接收机的灵敏度计算

本文介绍了光放大器的噪声分析以及作为光前置放大器在强度调制-直接检测(IMDD)光纤传输系统中的应用.文中着重讨论了各种系统参数对接收机灵敏度的影响,并推出了一个通用的灵敏度计算公式.对一个2.5Gb/s实验光纤传输系统的测试表明,理论计算的灵敏度曲线与实测值非常接近.利用光纤前置放大器及IMDD传输方式,实验系统的灵敏度由原来的-26.5dBm提高到-39.5dBm.     

非线性相位噪声对DQPSK调制系统性能影响研究

为了研究非线性相位噪声对差分正交相移键控（DQPSK）调制系统性能的影响,在理论推导非线性相位噪声数学模型的基础上,通过固定接收端信噪比不变,仿真分析了40Gb/s速率时DQPSK调制系统误码率随输入信噪比的变化情况。结果表明:与二进制差分相移键控（DPSK）调制相比,DQPSK调制对非线性相位噪声的影响更为敏感,当非线性效应较大时,非线性相位噪声将使系统误码率显著增大,严重影响系统通信质量。因此,当采用DQPSK调制时,必须考虑非线性相位噪声对系统性能的影响。     

42.8 Gbit/s DPSK信号的波分复用传输实验

实现了42.8 Gbit/s 差分相移键控调制信号的三信道波分复用传输实验.传输链路为410 km的标准单模光纤,分为四个放大段,采用色散补偿光纤进行色散补偿和掺铒光纤放大器/分布式喇曼放大器混合放大方式.给出了差分相移键控信号及其解调后的信号在背对背和传输后的光谱和眼图(中路波长信号).在接收端使用单端检测,给出中路波长的差分相移键控信号背对背情况和传输后的误码率曲线,并与单信道传输时进行比较.经过传输后的中路信号的误码率可维持在1.0E-3左右.     

42.8 Gbit/s DPSK信号的波分复用传输实验

实现了42.8 Gbit/s 差分相移键控调制信号的三信道波分复用传输实验.传输链路为410 km的标准单模光纤,分为四个放大段,采用色散补偿光纤进行色散补偿和掺铒光纤放大器/分布式喇曼放大器混合放大方式.给出了差分相移键控信号及其解调后的信号在背对背和传输后的光谱和眼图(中路波长信号).在接收端使用单端检测,给出中路波长的差分相移键控信号背对背情况和传输后的误码率曲线,并与单信道传输时进行比较.经过传输后的中路信号的误码率可维持在1.0E-3左右.     

Simulation and evaluation of phase noise for optical amplification using semiconductor optical amplifiers in DPSK applications

A thorough simulation and evaluation of phase noise for optical amplification using semiconductor optical amplifier (SOA) is very important for predicting its performance in differential phase-shift keyed (DPSK) applications. In this paper, standard deviation and probability distribution of differential phase noise at the SOA output are obtained from the statistics of simulated differential phase noise. By using a full-wave model of SOA, the noise performance in the entire operation range can be investigated. It is shown that nonlinear phase noise substantially contributes to the total phase noise in case of a noisy signal amplified by a saturated SOA and the nonlinear contribution is larger with shorter SOA carrier lifetime. It is also shown that Gaussian distribution can be useful as a good approximation of the total differential phase noise statistics in the whole operation range. Power penalty due to differential phase noise is evaluated using a semi-analytical probability density function (PDF) of receiver noise. Obvious increase of power penalty at high signal input powers can be found for low input OSNR, which is due to both the large nonlinear differential phase noise and the dependence of BER vs. receiving power curvature on differential phase noise standard deviation.     

Evaluation of coherent homodyne and heterodyne optical CDMA structures

This paper evaluates the coherent optical code-division multiple-access (OCDMA) techniques and examines the overall system performance in terms of signal-to-noise ratio (SNR) penalty as a function of simultaneous users accommodated to maintain an appropriate value of the bit-error rate (BER) for homodyne and heterodyne detections. As spreading codes, the proposed structures are utilizing a recently introduced prime code family hereby referred to as double-padded modified prime code (DPMPC). As a coherent modulation, binary phase-shift keying (BPSK) format is deployed. In homodyne detection, two different phase modulations are studied including either an external phase-modulator or injection-locking methods. The phase limitation and the performance for two methods plus multiple-access interferences (MAI) and receiver noise in a shot-noise limited regime are investigated. In heterodyne detection, BER analysis of the system based on only external phase modulator is examined. It is found that by maintaining BER = 10⁻⁹, this system can accommodate an increased number of simultaneous users to compare with systems which employ conventional bipolar codes.     

计及判决门限与非理想消光比的串扰分析

推导出了在多重串扰情况下,串扰光和系统光噪声共同存在时,接收机输入光信号及其基带输出信号的表达式.计算了在最优判决门限和平均判决门限两种情况下,背景误码率在10^-9条件时,信号光消光比与串扰光消光比对系统误码率的影响.结果表明,对于不同的接收机判决门限,信号光的消光比在10～12dB的范围内,系统的误码特性接近最优.     

相位调制信号的全光再生技术

介绍了差分相移键控信号的全光再生技术.研究了多进制相位调制信号的全光再生技术.对适用于正交相移键控和差分正交相移键控信号的全光再生器进行了仿真.研究结果表明,这种再生器可以显著抑制信号的幅度噪音和相位噪音,使40 Gb/s RZ差分正交相移键控系统在误码率为10－12条件下的传输距离延长至2 000 km以上.     

Influence of wave-front aberrations on bit error rate in inter-satellite laser communications

We derive the bit error rate (BER) of inter-satellite laser communication (lasercom) links with on-off-keying systems in the presence of both wave-front aberrations and pointing error, but without considering the noise of the detector. Wave-front aberrations induced by receiver terminal have no influence on the BER, while wave-front aberrations induced by transmitter terminal will increase the BER. The BER depends on the area S which is truncated out by the threshold intensity of the detector (such as APD) on the intensity function in the receiver plane, and changes with root mean square (RMS) of wave-front aberrations. Numerical results show that the BER rises with the increasing of RMS value. The influences of Astigmatism, Coma, Curvature and Spherical aberration on the BER are compared. This work can benefit the design of lasercom system.     

Adversarial Machine Learning for NextG Covert Communications Using Multiple Antennas

This paper studies the privacy of wireless communications from an eavesdropper that employs a deep learning (DL) classifier to detect transmissions of interest. There exists one transmitter that transmits to its receiver in the presence of an eavesdropper. In the meantime, a cooperative jammer (CJ) with multiple antennas transmits carefully crafted adversarial perturbations over the air to fool the eavesdropper into classifying the received superposition of signals as noise. While generating the adversarial perturbation at the CJ, multiple antennas are utilized to improve the attack performance in terms of fooling the eavesdropper. Two main points are considered while exploiting the multiple antennas at the adversary, namely the power allocation among antennas and the utilization of channel diversity. To limit the impact on the bit error rate (BER) at the receiver, the CJ puts an upper bound on the strength of the perturbation signal. Performance results show that this adversarial perturbation causes the eavesdropper to misclassify the received signals as noise with a high probability while increasing the BER at the legitimate receiver only slightly. Furthermore, the adversarial perturbation is shown to become more effective when multiple antennas are utilized.     

Novel orthogonal modulation format DRZ-FSK/DPSK for high-speed long-haul optical communication

We propose a novel advanced orthogonal modulation format dark return-to-zero frequency shift keying/differential phase shift keying （DRZ-FSK/DPSK） and its realization scheme. The DRZ-FSK/DPSK is generated by the combination of a 40-Gb/s return-to-zero （RZ） signal and a DRZ signal which is converted from the RZ using a semiconductor optical amplifier （SOA） based on nonlinear cross polarization rotation （XPR） and then re-modulated by high-bit-rate DPSK at 40 Gb/s. The feasibility of the scheme is exper-imentally demonstrated. Bit error rate （BER） results of the total 80-Gb/s DRZ-FSK/DPSK orthogonal modulation signal with a subsequent 100-km single-mode fiber （SMF） transmission link show its potential for future high-speed long-haul optical communication.     

Simultaneous four channel wavelength conversion of 50Gbps CSRZ–DPSK signals in S and C bands using HNLF without additional pump signals

Optical wavelength conversion is expected to be an important technique for future advanced dense wavelength division multiplexing systems. It enhances wavelength routing capabilities, improves network reconfigurability and eliminating the problem associated with wavelength reuse in network. Here, simultaneous 50Gbps four channel wavelength conversion is established in S and C bands of ITU grid using four wave mixing (FWM) technique in high nonlinear fiber (HNLF) without additional pump signals. Since the four channel wavelength conversion is to be performed, the frequency spacing between the pairs of signal in S and C bands should be maintained in order to avoid the signal degradation by the effect of higher order FWM. Thereby the best frequency spacing between the pairs of signals in S and C bands is estimated to maintain good BER over the wavelength converted signals of both bands. So the selected frequency spacing between the pairs fulfills the freedom of selecting any frequency spacing within a pair of wavelengths in S and C band signals. It is also shown that CSRZ–DPSK modulated input signal enhances the BER of wavelength converted signals over the RZ–DPSK. In addition to this, uniform wavelength conversion over a wide bandwidth with a reduced length of HNLF is achieved and also the best power range is estimated to obtain good conversion efficiency.     

弱光反馈对相干光差分相移键控系统性能的影响

本文讨论了弱光反馈对相干光差分相移键控系统误码率的影响。指出:在适当的反馈条件下,弱光反馈可以改善系统的误码率性能。