Stochastic least-symbol-error-rate adaptive equalization for pulse-amplitude modulation

The paper derives a stochastic-gradient minimum symbol-error-rate (MSER) algorithm, called the least symbol error rate (LSER), for training the linear equalizer and linear-combiner decision feedback equalizer (DFE) with $M$-PAM signalling. This LSER algorithm has some performance advantages, in terms of faster convergence rate and smaller steady-state symbol error rate (SER) misadjustment, over an existing simpler stochastic-gradient adaptive MSER algorithm called the approximate MSER (AMSER)

Adaptive minimum symbol error rate beamforming assisted receiver for quadrature amplitude modulation systems

An adaptive beamforming assisted receiver is proposed for multiple antenna aided multiuser systems that employ bandwidth efficient quadrature amplitude modulation (QAM). A novel minimum symbol error rate (MSER) design is proposed for the beamforming assisted receiver, where the system’s symbol error rate is directly optimized. Hence the MSER approach provides a significant symbol error ratio performance enhancement over the classic minimum mean square error design. A sample-by-sample adaptive algorithm, referred to as the least symbol error rate (LBER) technique, is derived for allowing the adaptive implementation of the system to arrive from its initial beamforming weight solution to MSER beamforming solution

Intelligent optical performance monitor using multi-task learning based artificial neural network

An intelligent optical performance monitor using multi-task learning based artificial neural network (MTL-ANN) is designed for simultaneous OSNR monitoring and modulation format identification (MFI). Signals' amplitude histograms (AHs) after constant module algorithm are selected as the input features for MTL-ANN. The experimental results of 20-Gbaud NRZ-OOK, PAM4 and PAM8 signals demonstrate that MTL-ANN could achieve OSNR monitoring and MFI simultaneously with higher accuracy and stability compared with single-task learning based ANNs (STL-ANNs). The results show an MFI accuracy of 100% and OSNR monitoring root-mean-square error of 0.63 dB for the three modulation formats under consideration. Furthermore, the number of neuron needed for the single MTL-ANN is almost the half of STL-ANN, which enables reduced-complexity optical performance monitoring devices for real-time performance monitoring

Adaptive MBER space-time DFE assisted multiuser detection for SDMA systems

In this contribution we propose a space-time decision feedback equalization (ST-DFE) assisted multiuser detection (MUD) scheme for multiple antenna aided space division multiple access systems. A minimum bit error rate (MBER) design is invoked for the MUD, which is shown to be capable of improving the achievable bit error rate performance over that of the minimum mean square error (MMSE) design. An adaptive MBER ST-DFE-MUD is proposed using the least bit error rate algorithm, which is demonstrated to consistently outperform the least mean square (LMS) algorithm, while achieving a lower computational complexity than the LMS algorithm for the binary signalling scheme. Simulation results demonstrate that theMBER ST-DFE-MUD is more robust to channel estimation errors as well as to error propagation imposed by decision feedback errors, compared to the MMSE ST-DFE-MUD

Signal Processing Design of Low Probability of Intercept Waveforms

This thesis investigates a modification to Differential Phase Shift Keyed (DPSK) modulation to create a Low Probability of Interception/Exploitation (LPI/LPE) communications signal. A pseudorandom timing offset is applied to each symbol in the communications stream to intentionally create intersymbol interference (ISI) that hinders accurate symbol estimation and bit sequence recovery by a non-cooperative receiver. Two cooperative receiver strategies are proposed to mitigate the ISI due to symbol timing offset: a modified minimum Mean Square Error (MMSE) equalization algorithm and a multiplexed bank of equalizer filters determined by an adaptive Least Mean Square (LMS) algorithm. Both cooperative receivers require some knowledge of the pseudorandom symbol timing dither to successfully demodulate the communications waveform. Numerical Matlab® simulation is used to demonstrate the bit error rate performance of cooperative receivers and notional non-cooperative receivers for binary, 4-ary, and 8-ary DPSK waveforms transmitted through a line-of-sight, additive white Gaussian noise channel. Simulation results suggest that proper selection of pulse shape and probability distribution of symbol timing offsets produces a waveform that is accurately demodulated by the proposed cooperative receivers and significantly degrades non-cooperative receiver symbol estimation accuracy. In typical simulations, non-cooperative receivers required 2-8 dB more signal power than cooperative receivers to achieve a bit error rate of 1.0%. For nearly all reasonable parameter selections, non-cooperative receivers produced bit error rates in excess of 0.1%, even when signal power is unconstrained

Advanced DSP Techniques for High-Capacity and Energy-Efficient Optical Fiber Communications

The rapid proliferation of the Internet has been driving communication networks closer and closer to their limits, while available bandwidth is disappearing due to an ever-increasing network load. Over the past decade, optical fiber communication technology has increased per fiber data rate from 10 Tb/s to exceeding 10 Pb/s. The major explosion came after the maturity of coherent detection and advanced digital signal processing (DSP). DSP has played a critical role in accommodating channel impairments mitigation, enabling advanced modulation formats for spectral efficiency transmission and realizing flexible bandwidth. This book aims to explore novel, advanced DSP techniques to enable multi-Tb/s/channel optical transmission to address pressing bandwidth and power-efficiency demands. It provides state-of-the-art advances and future perspectives of DSP as well

MIMO-aided near-capacity turbo transceivers: taxonomy and performance versus complexity

In this treatise, we firstly review the associated Multiple-Input Multiple-Output (MIMO) system theory and review the family of hard-decision and soft-decision based detection algorithms in the context of Spatial Division Multiplexing (SDM) systems. Our discussions culminate in the introduction of a range of powerful novel MIMO detectors, such as for example Markov Chain assisted Minimum Bit-Error Rate (MC-MBER) detectors, which are capable of reliably operating in the challenging high-importance rank-deficient scenarios, where there are more transmitters than receivers and hence the resultant channel-matrix becomes non-invertible. As a result, conventional detectors would exhibit a high residual error floor. We then invoke the Soft-Input Soft-Output (SISO) MIMO detectors for creating turbo-detected two- or three-stage concatenated SDM schemes and investigate their attainable performance in the light of their computational complexity. Finally, we introduce the powerful design tools of EXtrinsic Information Transfer (EXIT)-charts and characterize the achievable performance of the diverse near- capacity SISO detectors with the aid of EXIT charts

오프셋 제거기의 적응 제어 등화기와 보우-레이트 위상 검출기를 활용한 수신기 설계

학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·정보공학부, 2021.8. 염제완.In this thesis, designs of high-speed, low-power wireline receivers (RX) are explained. To be specific, the circuit techniques of DC offset cancellation, merged-summer DFE, stochastic Baud-rate CDR, and the phase detector (PD) for multi-level signal are proposed. At first, an RX with adaptive offset cancellation (AOC) and merged summer decision-feedback equalizer (DFE) is proposed. The proposed AOC engine removes the random DC offset of the data path by examining the random data stream's sampled data and edge outputs. In addition, the proposed RX incorporates a shared-summer DFE in a half-rate structure to reduce power dissipation and hardware complexity of the adaptive equalizer. A prototype chip fabricated in 40 nm CMOS technology occupies an active area of 0.083 mm2. Thanks to the AOC engine, the proposed RX achieves the BER of less than 10-12 in a wide range of data rates: 1.62-10 Gb/s. The proposed RX consumes 18.6 mW at 10 Gb/s over a channel with a 27 dB loss at 5 GHz, exhibiting a figure-of-merit of 0.068 pJ/b/dB. Secondly, a 40 nm CMOS RX with Baud-rate phase-detector (BRPD) is proposed. The RX includes two PDs: the BRPD employing the stochastic technique and the BRPD suitable for multi-level signals. Thanks to the Baud-rate CDR’s advantage, by not using an edge-sampling clock, the proposed CDR can reduce the power consumption by lowering the hardware complexity. Besides, the proposed stochastic phase detector (SPD) tracks an optimal phase-locking point that maximizes the vertical eye opening. Furthermore, despite residual inter-symbol interference, proposed BRPD for multi-level signal secures vertical eye margin, which is especially vulnerable in the multi-level signal. Besides, the proposed BRPD has a unique lock point with an adaptive DFE, unlike conventional Mueller-Muller PD. A prototype chip fabricated in 40 nm CMOS technology occupies an active area of 0.24 mm2. The proposed PAM-4 RX achieves the bit-error-rate less than 10-11 in 48 Gb/s and the power efficiency of 2.42 pJ/b.본 논문은 고속, 저전력으로 동작하는 유선 수신기의 설계에 대해 설명하고 있다. 구체적으로 말하면, 오프셋 상쇄, 병합된 서머를 사용하는 결정 피드백 등화기 기술, 확률적 보우 레이트 클럭과 데이터 복원기, 그리고 다중 레벨 신호에 적합한 위상 검출기를 제안한다. 첫째로, 적응 오프셋 제거 및 병합된 서머를 사용하는 결정 피드백 등화기를 갖춘 수신기를 제안한다. 제안된 적응 오프셋 제거 엔진은 임의의 데이터 스트림의 샘플링 데이터, 에지 출력을 검사하여 데이터 경로 상의 오프셋을 제거한다. 또한 하프 레이트 구조의 병합된 서머를 사용하는 결정 피드백 등화기는 전력의 사용과 하드웨어의 복잡성을 줄인다. 40 nm CMOS 기술로 제작된 프로토타입 칩은 0.083 mm2 의 면적을 가진다. 적응 오프셋 제거기 덕분에 제안된 수신기는 10-12 미만의 BER을 달성한다. 또한 제안된 수신기는 5GHz에서 27 dB의 로스를 갖는 채널에서 10 Gb/s의 속도에서 18.6 mW를 소비하며 0.068 pJ/b/dB의 FoM을 달성하였다. 두번째로, 보우 레이트 위상 검출기가 있는 40 nm CMOS 수신기가 제안되었다. 수신기에는 두개의 보우 레이트 위상 검출기를 포함한다. 하나는 확률론적 기법을 사용하는 보우 레이트 위상 검출기이다. 보우 레이트 클럭 데이터 복원기의 장점 덕분에 에지 샘플링 클럭을 사용하지 않음으로서 파워의 소모와 하드웨어의 복잡성을 줄였다. 또한 확률적 위상 검출기는 수직 아이 오프닝을 최대화하는 최적의 위상 지점을 찾을 수 있었다. 다른 위상 검출기는 다중 레벨 신호에 적합한 방식이다. 심볼 간 간섭이 다중 레벨 신호에 매우 취약한 문제가 있더라도 제안된 다중 레벨 신호용 보우 레이트 위상 검출기는 수직 아이 마진을 확보한다. 게다가 제안된 보우 레이트 위상 검출기는 기존의 뮬러-뮐러 위상 검출기와 달리 적응형 결정 피드백 등화기가 있더라도 유일한 락 지점을 갖는다. 프로토타입 칩은 0.24mm2의 면적을 가진다. 제안된 PAM-4 수신기는 48 Gb/s의 속도에서 10-11 미만의 BER을 가지고, 2.42 pJ/b의 FoM을 가진다.CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 5 CHAPTER 2 BACKGROUNDS 6 2.1 BASIC ARCHITECTURE IN SERIAL LINK 6 2.1.1 SERIAL COMMUNICATION 6 2.1.2 CLOCK AND DATA RECOVERY 8 2.1.3 MULTI-LEVEL PULSE-AMPLITUDE MODULATION 10 2.2 EQUALIZER 12 2.2.1 EQUALIZER OVERVIEW 12 2.2.2 DECISION-FEEDBACK EQUALIZER 15 2.2.3 ADAPTIVE EQUALIZER 18 2.3 CLOCK RECOVERY 21 2.3.1 2X OVERSAMPLING PD ALEXANDER PD 22 2.3.2 BAUD-RATE PD MUELLER MULLER PD 25 CHAPTER 3 AN ADAPTIVE OFFSET CANCELLATION SCHEME AND SHARED SUMMER ADAPTIVE DFE 28 3.1 OVERVIEW 28 3.2 AN ADAPTIVE OFFSET CANCELLATION SCHEME AND SHARED-SUMMER ADAPTIVE DFE FOR LOW POWER RECEIVER 31 3.3 SHARED SUMMER DFE 37 3.4 RECEIVER IMPLEMENTATION 42 3.5 MEASUREMENT RESULTS 45 CHAPTER 4 PAM-4 BAUD-RATE DIGITAL CDR 51 4.1 OVERVIEW 51 4.2 OVERALL ARCHITECTURE 53 4.2.1 PROPOSED BAUD-RATE CDR ARCHITECTURE 53 4.2.2 PROPOSED ANALOG FRONT-END STRUCTURE 59 4.3 STOCHASTIC PHASE DETECTION PAM-4 CDR 64 4.3.1 PROPOSED STOCHASTIC PHASE DETECTION 64 4.3.2 COMPARISON OF THE STOCHASTIC PD WITH SS-MMPD 70 4.4 PHASE DETECTION FOR MULTI-LEVEL SIGNALING 73 4.4.1 PROPOSED BAUD-RATE PHASE DETECTOR FOR MULTI-LEVEL SIGNAL 73 4.4.2 DATA LEVEL AND DFE COEFFICIENT ADAPTATION 79 4.4.3 PROPOSED PHASE DETECTOR 84 4.5 MEASUREMENT RESULT 88 4.5.1 MEASUREMENT OF THE PROPOSED STOCHASTIC BAUD-RATE PHASE DETECTION 94 4.5.2 MEASUREMENT OF THE PROPOSED BAUD-RATE PHASE DETECTION FOR MULTI-LEVEL SIGNAL 97 CHAPTER 5 CONCLUSION 103 BIBLIOGRAPHY 105 초 록 109박