Estimation of the Bit Error Rate for Direct-Detected OFDM Signals With Optically Preamplified Receivers

In this paper, we provide a numerical bit error rate (BER) estimation approach for direct-detected orthogonal frequency division multiplexing (OFDM) signals in the presence of optical preamplified receivers. The individual BER of each subcarrier is first computed by considering their electrical signal-to-noise ratio (SNR), and then the ensemble BER is derived simply by taking the average of all the subcarriers' BERs. The calculated BER is verified by the conventional error-counting approach with high precision and is still accurate with higher quadratic-amplitude modulation (QAM) formats, even under the influences of the optical filtering and polarization mode dispersion (PMD) effects. Based on our simulation approach, the required extra power budget for 16- and 64-QAM relative to 4-QAM format are found to be ${sim}$3.8 and 8.2 dB, respectively, at a BER of 10$^{-9}$. Furthermore, we use this approach to compare the receiving sensitivities and PMD tolerances for the previous proposed gapped and interleaved radio-frequency (RF)-tone-assisted OFDM systems. The results show that the gapped OFDM has a better sensitivity while the interleaved OFDM has a more PMD-tolerable capability.      

Probability of error calculation of OFDM systems with frequencyoffset

Orthogonal frequency-division multiplexing (OFDM) is sensitive to the carrier frequency offset (CFO), which destroys orthogonality and causes intercarrier interference (ICI), Previously, two methods were available for the analysis of the resultant degradation in performance. Firstly, the statistical average of the ICI could be used as a performance measure. Secondly, the bit error rate (BER) caused by CFO could be approximated by assuming the ICI to be Gaussian. However, a more precise analysis of the performance (i.e., BER or SER) degradation is desirable. In this letter, we propose a precise numerical technique for calculating the effect of the CFO on the BER or symbol error in an OFDM system. The subcarriers can be modulated with binary phase shift keying (BPSK), quaternary phase shift keying (QPSK), or 16-ary quadrature amplitude modulation (16-QAM), used in many OFDM applications. The BPSK case is solved using a series due to Beaulieu (1990). For the QPSK and 16-QAM cases, we use an infinite series expression for the error function in order to express the average probability of error in terms of the two-dimensional characteristic function of the ICI     

Design of mm-RoF system based on OFM technique with optimized OFDM modulation

We present the design of a novel bi-directional millimeter-wave radio-over-fiber (mm-RoF) system based on the millimeter-wave generation by optical frequency multiplication (OFM). A dual-drive Mach-Zehnder modulator is used to generate high-order optical side-modes which beat in the photo-detector, producing a 40-GHz carrier. Over 100-Mb/s orthogonal frequency division multiplexing (OFDM) modulation scheme is employed. The emphasis is on developing a mathematical model for optimizing optical modulation index to the Mach-Zehnder intensity modulator (IM) for OFDM signal with high peak-to-average power ratio which imposes a limitation on the system bit error rate (BER) performance due to the non-linearity of IM. The theoretical analysis on composite carrier to composite triple beat ratio is performed based on which extension to the system BER formula for quadrature phase shift keying/ multiple quadrature amplitude modulation (QPSK/MQAM) format is presented. The experimental proof is given in a 40-GHz RoF system at a bit rate of up to 280 Mb/s in 100-MHz bandwidth.     

Experimental evaluation of the BER performance in optical OFDM system based on discrete Hartley transform precoding

We experimentally assess the bit error rate （BER） performance of an intensity modulation/direct detection （IM/DD） optical orthogonal frequency division multiplexing （OFDM） system based on discrete Hartley transform （DHT） precoding in single-mode fiber （SMF） link for 2.5 Gbit/s quadrature phase shift keying （QPSK） OFDM symbol rate. The experimental results show that for the optical OFDM system based on DHT-precoding, the receiver sensitivity at the BER of 10-4 after 100 km SMF transmission is about 1.5 dBm better than that of the original QPSK OFDM signal, and the DHT-precoded OFDM QPSK signal can achieve approximately 1.3 dB of peak-to-average power ratio （PAPR） reduction.     

Multi-resolution 64-DAPSK modulation in a hierarchical COFDMtransmission system

Two alternative modulation schemes of 64-QAM (quadrature amplitude modulation) and 64-DAPSK (differential amplitude and phase shift keying) with a coherent and incoherent demodulation have been proposed for digital terrestrial video broadcasting (DTVB) in combination with the coded orthogonal frequency division multiplexing (COFDM) technique (Schafer 1995, and Engels and Rohling 1995). Additionally, a hierarchical transmission system based on a multi-resolution (MR) 64-QAM is described in Engels and Rohling which extends the service area of a TV programme in decoding a stepwise reduced data rate with increasing transmitter distance (graceful degradation). This procedure corresponds to a decreasing picture quality. In this paper MR concepts for the 64-DAPSK are developed. A performance comparison between the hierarchical transmission systems (MR-64-QAM/OFDM and MR-64-DAPSK/OFDM) is described for the uncoded and coded case     

A time-frequency decision-feedback loop for carrier frequency offset tracking in OFDM systems

Acquisition and tracking are two crucial stages necessary to the carrier frequency synchronization in orthogonal frequency division multiplexing (OFDM) systems. In this letter, by employing the rotation property of OFDM data subcarriers, a simple time-frequency decision-feedback loop without the use of pilot subcarriers is proposed for the fine carrier frequency offset (CFO) tracking. Specifically, with proper loop parameters, a residual CFO less than 10% of the subcarrier spacing may be well tracked for quarternary phase-shift keying (QPSK) modulation in the presence of noise, while for systems using QPSK, 16-QAM, and 64-QAM modulation schemes, the bit-error rate (BER) performance very close to that of an offset-free system may be achieved in both additive white Gaussian noise (AWGN) and frequency selective fading channels. Moreover, a hardware implementation in a practical OFDM system is fulfilled which verifies the effectiveness of the proposed scheme.     

Research on the system error performance of coherent orthogonal frequency division multiplexing system with M-distribution in satellite-to-ground laser communication

In order to alleviate the influence of atmospheric turbulence on the performance of satellite-to-ground laser communication system,based on the M-distribution atmospheric channel model,a multi-carrier coherent orthogonal frequency division multiplexing (OFDM) modulation system was proposed for uplink and downlink in the satellite-to-ground laser communication.The closed-form expression of bit error rate (BER) of coherent OFDM modulation system was derived.The relationship between the zenith angle,receiving aperture,signal-to-noise ratio (SNR),optimal beam divergence angle,and optimal transmission radius and the BER were studied under weak,and strong atmosphere turbulence,and compared with binary coherent differential phase shift keying (DPSK) modulation.Both the theory and the simulation results show that compared with coherent DPSK modulation,the bit error performance of the coherent OFDM modulation system in the satellite-to-ground laser communication system is better.     

Performance Evaluation of Different PSK Schemes in an OFDM System Using a Real Time Image

Orthogonal frequency division multiplexing (OFDM) is a multicarrier modulation scheme that combines a large number of low data rate carriers into a composite high data communication system. Unlike in many other modulation techniques, the addition of cyclic prefix to the OFDM symbols combats the intersymbol interference and the orthogonality of the carriers allows it to combat Intercarrier interference in the OFDM modulation technique. Acknowledging these advantages, OFDM is the most preferred modulation technique in most of the next-generation wireless communication networks for transmitting many forms of digital data with higher efficiency. To evaluate the functionality and overall performance of an OFDM system, a digital data corresponding to a two-dimensional gray-scale image is used as a test signal. This paper aims at evaluating the performance of various phase shift keying (PSK) techniques taking a real time image as a test sample, which is converted into a form suitable for OFDM transmission, then transmitting the converted OFDM signal over the additive white Gaussian noise channel over various signal to noise ratio values. The performance is evaluated by comparing the clarity of the received image after demodulation with the original image, bit error rate (BER) Vs SNR, transmission and reception times of various PSK schemes (BPSK, QPSK,16-PSK and 256-PSK). The BER offered by BPSK is the least while transmission times offered by 256-PSK is the least. Along with these, different PSK schemes are compared by changing the clipping amplitude that is done to combat nonlinearities due to high peak to average power ratio.

     

A Flexible DSP Architecture for MIMO Sphere Decoding

This paper presents the architecture and circuit design of a sphere decoder for agile multi-input multi-output (MIMO) communication systems. Algorithm and architecture co-design is used to reduce hardware complexity, which enables the proposed sphere decoder to support larger antenna-array sizes and higher order modulations. The proposed architecture is also capable of processing multiple frequency subcarriers for orthogonal frequency-division multiplexing (OFDM) based systems. A 20 times area reduction is achieved, even without interleaving of subcarriers compared to the direct-mapped architecture. The sphere decoder supports multiple configurations: antenna arrays from 2 times 2 to 16 times 16, constellation sizes from binary phase-shift keying (BPSK) to 64-QAM (quadrature-amplitude modulation), and 16-128 subcarriers. The peak estimated data rate exceeds 1.5 Gbits/s of ideal throughput in a 16-MHz bandwidth. The core area is estimated at 0.31 mm² in a standard 90-nm CMOS technology. The estimated power consumption is 33 mW in the 16 times 16 64-QAM mode at 256 MHz from a 1-V supply voltage.     

可见光通信光叠加正交频分复用技术研究

针对可见光通信(VLC)正交频分复用(OFDM)系统 发光二极管(LED)动态范围窄、非线性和限幅失真严重等问题,利用光 源具有多个灯芯的特点,将OFDM频带划分为多个子带,每个子带内数据通过傅里叶反变换(IFFT)产生一路独立信号输入LED 灯芯,所有LED灯芯发出的光信号在空间上叠加形成光叠加OFDM(OSM-OFDM) 信号。在相同直流偏置情况下, OSM-OFDM系统每一路信号的调制深度较低,能够有效地避免LED非线性和限幅影响,特别是 在输入信号功率较大时,系统 误码率(BER)降低了至少1个数量级。根据有效信噪比(SNR) 最大原则能够得到OSM-OFDM系统最优直流偏置,而且在系统设计时可以根据 系统有效信噪比公式选择合适的LED灯芯数。实验表明,OSM-OFDM系统BER 性能要比直流偏置光OFDM(DCO-OFDM)系统提升了1个数量 级。     

Colorless ONU implementation for WDM-PON using direct-detection optical OFDM

A novel architecture for the colorless optical network unit (ONU) is proposed and experimentally demonstrated with direct-detection optical orthogonal frequency division multiplexing (DDO-OFDM). In this architecture, polarization-division multiplexing is used to reduce the cost at ONU. In optical line terminal (OLT), quadrature amplitude modulation (QAM) intensity-modulated OFDM signal with x-polarization at 10 Gbit/s is transmitted as downstream. At each ONU, the optical OFDM signal is demodulated with direct detection, and y-polarization signal is modulated for upstream on-off keying (OOK) data at 5 Gbit/s. Simulation results show that the power penalty is negligible for both optical OFDM downstream and the on-off keying upstream signals after over 50 km single-mode fiber (SMF) transmission.     

一种差分高阶调制联合LDPC编码方案及其FPGA实现

针对复杂环境中通信系统误码率高和硬件实现复杂度高的问题,提出基于正交频分复用( Orthogonal Frequency Division Multiplexing, OFDM)时域差分和 16 进制幅度差分相移键控( 16 Multilevel Differential Amplitude and Phase Shi...     

100 Gbit/s Nyquist-WDM PDM 16-QAM Transmission over 1200 km SMF-28 with Ultrahigh Spectrum Efficiency

Nyquist wavelength-division multiplexing (N-WDM) allows high spectral efficiency (SE) in long-haul transmission systems.Compared to polarization-division multiplexing quadrature phase-shift keying (PDM-QPSK),multilevel modulation,such as PDM 16 quadrature-amplitude modulation (16-QAM),is much more sensitive to intrachannel noise and interchannel linear crosstalk caused by N-WDM.We experimentally generate and transmit a 6 × 128 Gbit/s N-WDM PDM 16-QAM signal over 1200 km single-mode fiber (SMF)-28 with amplification provided by an erbium-doped fiber amplifier (EDFA) only.The net SE is 7.47 bit/s/Hz,which to the best of our knowledge is the highest SE for a signal with a bit rate beyond 100 Gbit/s using the PDM 16-QAM.Such SE was achieved by DSP pre-equalization of transmitter-side impairments and DSP post-equalization of channel and receiver-side impairments.Nyquist-band can be used in pre-equalization to enhance the tolerance of PDM 16-QAM to aggressive spectral shaping.The bit-error ratio (BER) for each of the 6 channels is smaller than the forward error correction (FEC) limit of 3.8 × 10-3 after 1200 km SMF-28 transmission.     

BER of OFDM in Rayleigh fading environments with selective diversity

This paper derives the analytical bit error rate (BER) of orthogonal frequency division multiplexing (OFDM) systems employing selective diversity in Rayleigh fading environments. First, the probability density function (pdf) of inter‐carrier interference (ICI) power in Rayleigh fading environments is derived. Second, the pdf of the signal‐to‐interference ratio (SIR) is then derived. The cumulative distribution function (cdf) and hence pdf of the SIR with selective diversity are then given in the third and fourth steps. Using the BER expressions of binary phase shift keying (BPSK) and differential BPSK (DBPSK) modulation in an added white Gaussian noise (AWGN), the corresponding BER expressions of OFDM systems can then be derived. Detailed discussions are given. Possible future work is also outlined. Copyright © 2009 John Wiley & Sons, Ltd.     

可见光通信极性索引正交频分复用技术研究

为了抑制可见光通信(VLC)正交频分复用(OFDM)系 统发光二极管(LED)非线性限幅失真,提出了一种极性 索引OFDM(PIM-OFDM)调制方式。PIM-OFDM通过两个模块分别传输直流偏置 光OFDM(DCO-OFDM)双极性信号的极性信息和幅度信息。在第1模块中,对双极性信号的正 负极性编码并使用 OOK信号传输。在第2模块中,对双极性信号取绝对值得到幅度信息。在相同条件下,PIM- OFDM系统 性能比非对称限幅OFDM(ACO-OFDM)系统提升了接近 3dB。在光功率约束 条件下,在最 大有效(SNR)原则下得到了直流偏置和输入信号的最优功率分配。 仿真结果表明:光功率约束较小时,有 效SNR随着直流偏置增大而变小;光功率约束较大时,有效SNR随着直流 偏置增大会先增大后减小。 实验结果表明:在相同传输速率的情况下,PIM-OFDM误码率(BE R)性能要比ACO-OFDM提升1个数量级。     

The Tradeoff Between Bit Error Rate and Optical Link Distance Using Laser Phase Noise Fixing Process in Coherent Optical OFDM Systems

Orthogonal frequency division multiplexing (OFDM) is a suitable solution thanks to its many advantages known in wireless communications. On the other hand, optical communications is also used as a backbone to transmit and receive large data rates with economical and good performance. Recently, fiber optical communication and OFDM method have been combined to obtain both advantages in a communication link called Coherent Optical OFDM (CO-OFDM). In this study, Bit error rate (BER) versus distance variations are investigated for a constant signal to noise ratio in CO-OFDM systems. Results also show the performance of the CO-OFDM system at different data rates and distances for one RF carrier and one optical carrier. So far, the Telecommunication Standardization Sector standards have suggested 81 channels between 192.1 and 196.1 THz in C band. Extending the number of channels using 111 more channels between 185.9 and 191.4 THz in L band where optical amplifiers and laser sources are available, the total number of channels reaches up to 192. In this research, CO-OFDM technique is modeled and simulated designing a Monte Carlo simulation. Dense wavelength division multiplexing (DWDM) is the key factor to obtain 3 Tb/s (192*16 Gb/s) utilizing only one optical cable by covering whole C and L bands. To the best of our knowledge, this work shows the first BER versus Distance variations in a CO-OFDM communication link for 3 Tb/s.     

Performance of optimum and suboptimum OFDM‐CPM receivers over multipath fading channels

A class of orthogonal frequency division multiplexing‐continuous phase modulation (OFDM‐CPM) signals is introduced in which binary data sequence is mapped to complex symbols using the concept of correlated phase states of a CPM signal. Canonical optimum and suboptimum multiple‐symbol‐observation OFDM‐CPM receivers are derived. Multipath channel with AWGN is assumed. The receivers are analyzed for bit error rate (BER) performance in terms of high‐ and low‐SNR bounds. These bounds are illustrated as a function of parameter h, time delay and attenuation level. It is shown that OFDM‐CPM systems, with h=0.5,0.25 and an observation interval length of two symbols, can outperform conventional OFDM‐PSK system for a two‐ray multipath model. Copyright © 2005 John Wiley & Sons, Ltd.     

Experiments on MIMO-OFDM system combined with adaptive beamforming based on IEEE 802.16e WMAN standard

This paper presents field experiments on a Multi-Input Multi-Output (MIMO) system that combines Adaptive Beamforming (ABF) and Spatial Multiplexing (SM) procedures. The combination of SM signal processing with ABF is applied to WiBro, the South Korean Orthogonal Frequency Division Multiplexing (OFDM) system that follows the IEEE 802.16e standard. The field experimental results show that ABF-MIMO OFDM system outperforms a simple MIMO OFDM system by 2 dB (1.5 dB) in the signal to noise ratio (SNR) for 16-QAM (64-QAM) under low correlated fading channel and 4 dB (2.5 dB) in the SNR for 16-QAM (64-QAM) under highly correlated fading channel, respectively, at the frame error rate (FER) of 1%. Details on the implementation of ABF-MIMO OFDM system is also presented in this paper. Through the system implementation and its field experimental results, we verify that the combination of MIMO OFDM system with ABF provides improved performance over a simple MIMO OFDM system in real propagation channel environment and, in particular, it is more effective in highly correlated fading channel.     

A full-duplex optical access system with hybrid 64/16/ 4QAM-OFDM downlink

A full-duplex optical passive access scheme is proposed and verified by simulation, in which hybrid 64/16/4-quadrature amplitude modulation (64/16/4QAM) orthogonal frequency division multiplexing (OFDM) optical signal is for downstream transmission and non-return-to-zero (NRZ) optical signal is for upstream transmission. In view of the transmitting and receiving process for downlink optical signal, in-phase/quadrature-phase (I/Q) modulation based on Mach-Zehnder modulator (MZM) and homodyne coherent detection technology are employed, respectively. The simulation results show that the bit error ratio (BER) less than hardware decision forward error correction (HD-FEC) threshold is successfully obtained over transmission path with 20-km-long standard single mode fiber (SSMF) for hybrid downlink modulation OFDM optical signal. In addition, by dividing the system bandwidth into several sub-channels consisting of some continuous subcarriers, it is convenient for users to select different channels depending on requirements of communication.     

SNR Estimation in OFDM System by the Correlation of Decision Feedback Signal

In the channel-varying environment, it is very important to estimate the signal to noise ratio (SNR) of received signal and to transmit the signal effectively for the modern communication system. The performance of existing non-data-aided SNR estimation methods are substantially degraded for high level modulation scheme such as M-ary amplitude and phase shift keying or quadrature amplitude modulation. In this paper, we propose a SNR estimation method which uses zero point auto-correlation of received signal per block and auto/cross-correlation of decision feedback signal in orthogonal frequency division multiplexing (OFDM) system. Proposed method can be studied into two types; Type 1 can estimate SNR by zero point auto-correlation of decision feedback signal based on the second moment property. Type 2 uses both zero point auto-correlation and cross-correlation based on the fourth moment property. In block-by-block reception of OFDM system, these two SNR estimation methods can be possible for the practical implementation due to correlation based the estimation method and they show more stable estimation performance than the previous SNR estimation methods. Also, we mathematically derive the SNR estimation expression according to computational difference of auto/cross-correlation. Finally, Monte Carlo simulations are used to verify the proposed method.