Photonics-assisted compressive sampling system for wideband spectrum sensing

Compressive sampling(CS) has attracted considerable attention in microwave and radio frequency(RF) fields in recent years. It enables the acquisition of high-frequency signals at a rate much smaller than their Nyquist rates.Combined with photonics technology, traditional CS systems can significantly enlarge their operating bandwidth, which offers great potential for spectrum sensing in cognitive radios. In this Letter, we review our recent work on photonic CS systems for wideband spectrum sensing. First, a proof-of-concept photonics-assisted CS system is demonstrated; it is capable of acquiring numerous radar pulses in an instantaneous bandwidth spanning from 500 MHz to 5 GHz with a 500-MHz analog-to-digital converter(ADC). To further reduce the acquisition bandwidth, multi-channel photonics-assisted CS systems are proposed for the first time, enabling the acquisition of multi-tone signals with frequencies up to 5 GHz by using 120-MHz ADCs. In addition, the system bandwidth is increased from 5 to 20 GHz by employing time-interleaved optical sampling.     

分块稀疏信号1-bit压缩感知重建方法

1-bit压缩感知理论指出:对稀疏信号进行少量线性投影并对投影信号进行1-bit量化,该1-bit信号包含足够的信息,从而能对原始信号进行高精度重建.然而,当信号难以进行稀疏表达时,传统1-bit压缩感知算法无法精确重建原始信号.前期研究表明,分块稀疏模型作为一种特殊的结构型稀疏模型,对于难以用传统稀疏模型进行表达的信号具有较好的表达作用.本文提出了一种针对分块稀疏信号的1-bit压缩感知重建方法,该方法利用分块稀疏的统计特性对信号进行数学建模,通过变分贝叶斯推断方法进行信号重建并在光电容积脉搏波(photoplethysmography)信号上进行了实验验证.实验结果表明,与现有1-bit压缩感知重建方法相比,本文方法重建精度更高,且收敛速度更快.     

A Low Sampling Rate Receiver Design for Multi-Antenna Multi-User OFDM Systems

The future 6G mobile communication network will support an unprecedented amount of Internet of Things (IoT) devices, which will boost the demand for low cost terminals under the principle of green communication. One of the critical issues for low cost terminals is the sampling rate of analog-to-digital converters (ADCs) at the receivers. A high sampling rate of the ADC gives rise to a high energy consumption and high hardware cost for the terminal. In the conventional multi-user OFDM systems, all users have to sample the received signal with a sampling rate that is larger than or equal to the Nyquist rate, despite only a small fraction of the bandwidth (number of subcarriers) is allocated to each user. This paper proposes a low sampling rate receiver design for multi-antenna multi-user OFDM systems. With the aid of zero-forcing precoding, the sampling rate of the receiver can be reduced to 1/K of the Nyquist rate, where K is the number of users. The simulation results show that with a significant reduction in sampling rate, performance loss is insignificant and acceptable in terms of bit error rate, mutual information and peak-to-average power ratio.     

Broadband photonic ADC for microwave photonics-based radar receiver

A broadband photonic analog-to-digital converter(ADC) for X-band radar applications is proposed and experimentally demonstrated. An X-band signal with arbitrary waveform and a bandwidth up to 2 GHz can be synchronously sampled and processed due to the optical sampling structure. In the experiment, the chirp signal centered at 9 GHz with a bandwidth of 1.6 GHz is sampled and down-converted with a signal-to-noise ratio of 7.20 d B and an improved noise figure. Adopting the photonic ADC in the radar receiver and the above signal as the transmitted radar signal, an X-band inverse synthetic aperture radar system is set up, and the range and cross-range resolutions of 9.4 and 8.3 cm are obtained, respectively.     

Advantages of digital phase-sensitive detection for upgrading an obsolete CW EPR spectrometer

The replacement of the commonly used analog phase-sensitive detection (PSD) by digital PSD for demodulation of electron paramagnetic resonance (EPR) signals is suggested for upgrading of an out-of-date EPR spectrometer. Connection of the microwave bridge output to a fast analog-digital converter (ADC) eliminates some of the spectrometer’s components: the electronics responsible for analog PSD, ADC for sampling of demodulated signals, and a computer, as well as the usage of some of the spectrometer’s settings. The spectrometer is reduced to a magnet, microwave bridge, and personal computer containing an ADC board. EPR signals digitized for a set of magnetic field positions form a two-dimensional array which is stored in a personal computer. Demodulation and filtering are done numerically to produce a conventional EPR spectrum. In comparison with analog PSD, this numerical approach does not eliminate the out-of-phase component of the signal and the signals at the higher harmonics of the modulation frequency. The details of modernizing the Bruker ER200E SRC EPR spectrometer are discussed to demonstrate these and other advantages of digital demodulation.     

Heterodyne direct-detection OOFDM system with low sampling rate

A method of multi-channel receiving for high bit rate heterodyne direct-detection optical orthogonal frequency-division-multiplexing （OOFDM） system is proposed to reduce the sampling rate demand of analog-to-digital converter （ADC）. The sampling rate of ADCs can be reduced to 1/N that of the original signal bandwidth in an N-channel receiving system. Aided by a succeeding digital signal processing （DSP） at the receiver, aliasing free signal can be recovered. A back-to-back experimental result is given for a 4-channel system, based on which, a down conversion process for heterodyne can be reduced. The signal rebuilding algorithm is given and analyzed in its complexity and noise tolerance.     

面向低信噪比的自适应压缩感知方法

在压缩感知工程应用中, 信号往往被噪声和干扰所影响, 常规的压缩感知方法难以达到理想的重构效果, 特别是低信噪比应用场景中, 稀疏重构往往会失效. 分析了压缩感知中噪声对重构性能的影响, 从理论上解释了压缩感知中的噪声折叠原理, 并在此基础上提出了一种基于方向性测量的自适应压缩感知方案. 该方案通过后端信号处理系统估计出噪声的相关信息并反馈至压缩感知前端, 前端根据反馈的噪声信息调整测量矩阵, 从而改变感知矩阵的方向, 自适应地感知稀疏谱, 从而有效地抑制信号噪声. 仿真实验表明, 所提的自适应压缩感知方法对稀疏信号重构性能有较大的提升.     

A novel time and wavelength interleaved optical pulsed signal for a high resolution photonic analogue to digital converter

This paper presents a parallel architecture for a photonic Analog to Digital Converter (ADC) in a direct conversion receiver. A novel technique for the generation of time and wavelength interleaved laser source having a broad spectrum and a repetition rate of 8 GHz is proposed for the sampling of the photonic ADC. The quantization is realized in electrical domain by employing four state of the art ADCs , each having a sampling rate of 2 GHz and a resolution of 10 bit. We investigate the performance of our novel architecture by computing the Signal to Noise Ratio and comparing it with the conventional electronic ADC. Additionally we have also observed the effect of laser jitter on the sensitivity of a direct conversion receiver.     

基于低采样率模数转换器的延时复用频分多址无源光网络

基于正交频分复用技术的无源光网络中,光网络单元为了获得其所属小部分下行数据,需高采样率模数转换器将所有频宽的信号恢复才能分出其所需要数据.同时正交频分信号峰均比很高,传输中容易引起非线性效应.为此,本文提出一种基于低采样模数转换器的延时复用频分多址无源光网络.在光线路终端将数据序列交错排序并在时域映射为正交幅度调制信号;再通过离散傅里叶变换扩频技术,将信号转换为频域信号并映射到子载波上.通过预先发送和回传训练信号,估测包括延时采样和低采样接收在内的信道频响;再将频域信号利用估测信息在光线路终端做预处理,从而使信号传输中的失真得到有效预补偿.本文实验演示了含有多个光网络单元的系统,对于含有M个光网络单元的无源光网络,模数转换器的采样率可以降低到1/M Nyquist采样率,实验中模数转换器的采样率可以降低到1/32 Nyquist采样率;由于下行信号通过光线路终端预处理实现失真预补偿,光网络单元接收到的信号不需要均衡,不需要傅里叶变换和傅里叶逆变换,避免了与之对应的相关计算量,降低了光网络单元的计算复杂度;由于使用了扩频技术,信号波形具有更低的峰均比,从而降低了非线性对信号的影响,增加了功率预算.此外,随着光网络单元的增加,信号的误码率几乎没有增加,光网络单元个数增加到32时,向前纠错极限为10~(-3)的功率代价小于0.5 dB;系统对光网络单元采样时刻偏离具有一定容限;25 km光纤传输的功率代价大约0.5 dB.理论和实验均证明本方案能够简化光网络单元,降低无源光网络的成本;与传统的无源光网络相比具有明显优势.     

Successive approximation-like 4-bit full-optical analog-to-digital converter based on Kerr-like nonlinear photonic crystal ring resonators

Implementing of photonic sampling and quantizing analog-to-digital converters (ADCs) enable us to extract a single binary word from optical signals without need for extra electronic assisting parts. This would enormously increase the sampling and quantizing time as well as decreasing the consumed power. To this end, based on the concept of successive approximation method, a 4-bit full-optical ADC that operates using the intensity-dependent Kerr-like nonlinearity in a two dimensional photonic crystal (2DPhC) platform is proposed. The Silicon (Si) nanocrystal is chosen because of the suitable nonlinear material characteristic. An optical limiter is used for the clamping and quantization of each successive levels that represent the ADC bits. In the proposal, an energy efficient optical ADC circuit is implemented by controlling the system parameters such as ring-to-waveguide coupling coefficients, the ring’s nonlinear refractive index, and the ring’s length. The performance of the ADC structure is verified by the simulation using finite difference time domain (FDTD) method.     

Experimental study on tracking the state of analog Chua's circuit with particle filter for chaos synchronization

The aim of this Letter is to study by experiment the feasibility of tracking the state of analog Chua's circuit with particle filter for chaos synchronization. The structure of this digital-filter-based synchronization approach is proposed and depicted. The transmitted signals, generated from PSpice simulations and a physically implemented Chua's circuit, get through an additive white Gaussian noise (AWGN) channel to a receiver consisting of an analog-to-digital converter (ADC) and a particle filter (PF). The ADC is used to sample the analog signals and the PF is used to estimate and track the state of the transmitting circuit to obtain synchronized oscillation signals. Experiment results indicate that it is possible to use this approach to synchronize analog Chua's circuit, even if the circuit parameters are not known exactly and time-varying. In addition, the effects of different signal-to-noise ratio (SNR), ADC sampling frequency and PF state sampling time on synchronization performance are also studied for further understanding of this synchronization approach.     

Signal reconstruction from the undersampled signal samples

It is well-known from the celebrated Shannon sampling theorem for bandlimited signals that if the sampling rate is below the Nyquist rate, aliasing takes place and the original signal cannot be reconstructed back by simply passing the signal samples through an ideal lowpass filter. However, researchers such as Stern and Gori have shown the existence of some classes of signals for which the signals are sampled below the Nyquist rate but perfect signal reconstruction is still possible from the given signal samples. Here, we present a generalized lowpass sampling theorem and show that Stern’s and Gori’s lowpass sampling theorems are special cases of it. A sampling theorem for the bandpass signals in the linear canonical transform domains is also presented and its special cases are discussed. Using a modification of the conventional natural sampling waveform with a specific width of the pulses, it is shown that the sampling rate in our generalized lowpass sampling theorem and hence in the Stern’s and the classical Shannon sampling theorems can be further reduced by a factor of two, while for the bandpass signals, the reduction in the sampling rate by some factor is possible only under some restricted conditions.     

基于压缩感知的欠定源信号恢复算法比较

构建了基于压缩感知的欠定盲源分离源信号恢复模型,比较研究了基于互补匹配追踪算法(CMP)、基于L1范数的互补匹配追踪算法(L1CMP)和基于修正牛顿的径向基函数算法(NRASR)实现欠定源信号恢复的应用效果。结果表明:源信号时域充分稀疏情况下,CMP,L1CMP和NRASR的恢复效果接近,但L1CMP算法计算复杂度最低;变换域充分稀疏情况下,CMP和L1CMP恢复效果接近,NRASR恢复效果较差;时域非充分稀疏情况下,CMP效果较差,L1CMP和NRASR效果接近。综合考虑,L1CMP算法效果最佳;在观测信号数和源数较少的情况下,算法在时域恢复信号精度会下降;稀疏表示法结合压缩感知重构能够提高源信号恢复的效果。     

Photoacoustic image reconstruction based on Bayesian compressive sensing algorithm

The photoacoustic tomography (PAT) method, based on compressive sensing (CS) theory, requires that, for the CS reconstruction, the desired image should have a sparse representation in a known transform domain. However, the sparsity of photoacoustic signals is destroyed because noises always exist. Therefore, the original sparse signal cannot be effectively recovered using the general reconstruction algorithm. In this study, Bayesian compressive sensing (BCS) is employed to obtain highly sparse representations of photoacoustic images based on a set of noisy CS measurements. Results of simulation demonstrate that the BCS-reconstructed image can achieve superior performance than other state-of-the-art CS-reconstruction algorithms.     

Compressive sampling based differential detection for UWB impulse radio signals

Noncoherent detectors significantly contribute to the practical realization of the ultra-wideband (UWB) impulse-radio (IR) concept, in that they allow avoiding channel estimation and provide highly efficient reception capabilities. Complexity can be reduced even further by resorting to an all-digital implementation, but Nyquist-rate sampling of the received signal is still required. The current paper addresses this issue by proposing a novel differential detection (DD) scheme, which exploits the compressive sampling (CS) framework to reduce the sampling rate much below the Nyquist-rate. The optimization problem is formulated to jointly recover the sparse received signal as well as the differentially encoded data symbols, and is compared with both the separate approach and the scheme using the compressed received signal directly, i.e., without reconstruction. Finally, a maximum a posteriori based detector using the compressed symbols is developed for a Laplacian distributed channel, as a reference to compare the performance of the proposed approaches. Simulation results show that the proposed joint CS-based DD brings the considerable advantage of reducing the sampling rate without degrading the performance, compared with the optimal MAP detector.     

High-speed data acquisition system and receiver configurations for time-domain radiofrequency electron paramagnetic resonance spectroscopy and imaging

Design strategies, system configuration, and operation of a dual-channel data acquisition system for a radiofrequency (RF) time-domain electron paramagnetic resonance (EPR) spectrometer/imager operating at 300 MHz are described. This system wasconfigured to incorporate high-speed analog-to-digital conversion (ADC) and summation capabilities with both internal and external triggering via GPIB interface. The sampling rate of the ADC is programmable up to a maximum of 1 GS/s when operating in a dual-channel mode or 2 GS/s when the EPR data are collected in a single-channel mode. By using high-speed flash ADCs, a pipelined 8-bit adder, and a 24-bit accumulator, a repetition rate of 230 kHz is realized to sum FIDs of 4096 points. The record length is programmable up to a maximum of 8K points and a large number of FIDs (2(24)) can be summed without overflow before the data can be transferred to a host computer via GPIB interface for further processing. The data acquisition system can operate in a two-channel (quadrature) receiver mode for the conventional mixing to baseband. For detection using the single-channel mode, the resonance signals around the center frequency of 300 MHz were mixed with a synchronized local oscillator of appropriate frequency leading to an intermediate frequency (IF) which is sampled at a rate of 2 GS/s. Comparison of quadrature-mode and an IF-mode operation for EPR detection is presented by studying the FID signal intensity across a bandwidth of 10 MHz and as a function of transmit RF power. Imaging of large-sized phantoms accommodated in appropriately sized resonators indicates that IF-mode operation can be used to obtain distortion-free images in resonators of size 50 mm diameter and 50 mm length.     

基于异构双核的磁共振接收机的设计

提出了基于异构双核的低场核磁共振（Low-field Nuclear Magnetic Resonance,low-field NMR）接收机的设计,具有ARM（Adanced RISC Machines）和现场可编程门阵列（Field Programmable Gate Array,FPGA）先进的异构双核结构、高速的模数转换器（Analog to Digital Converter,ADC）采集、增益的可控以及可视化显示等特性,提高了整个系统的性能指标.设计中采用Xilinx公司的系统开发工具System Generator来实现内部信号处理功能.实验结果表明,数字接收机具有结构紧凑、可重构性强、采样速率高和成本低等特点,并且增益的可控使接收机获得了较大的动态范围,提高了重建图像的信噪比（Signal-to-Noise Ratio,SNR）.     

数字束流位置探测器系统的信噪比需求分析

以高能同步辐射光源（HEPS）对BPM提出的位置测量分辨率要求为出发点,介绍了BPM系统的整体架构并推导出BPM系统的信号链路中各级信号所需达到的信噪比;并根据ADC采样数据的信噪比需求,计算出ADC采样时钟的抖动需求;最后介绍了能够测量BPM信号信噪比和采样时钟抖动的BPM测试平台。各项结论可以作为判断BPM系统各部分能否达到HEPS工程要求的标准。