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基于分数阶时域Talbot效应的宽带射频信号实时频谱分析

Real-time Spectrum Analysis of Wideband RF Signals Based on Fractional Temporal Talbot Effect
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摘要 提出一种基于分数阶时域Talbot效应的宽带射频信号实时频谱分析方案。该方案基于采样和色散结构,实现射频信号频率到光脉冲时间间隔的映射。通过预先经过一个满足分数阶时域Talbot距离的色散元件,光脉冲在采样之前的重复频率发生倍增。利用分数阶时域Talbot效应,可以显著提升系统的频率测量带宽。实验结果表明,利用9阶分数阶时域Talbot效应,实现29.7 GHz带宽内单音和双音射频信号的实时频谱分析。数值仿真结果进一步验证了该方案能够有效分析频率快速变化的宽带射频信号。该方案结构简单、带宽大、可实时处理,有望应用于电子对抗、宽带雷达、认知无线电等场景。 To enhance the bandwidth and real-time capabilities of Radio Frequency(RF)spectrum analysis,the optical real-time Fourier transform method has been proposed.The optical real-time Fourier transform method based on the temporal Talbot effect has the advantage of a simple structure by using optical pulse sampling and dispersion delay structure.However,its frequency measurement bandwidth is limited by the optical pulse's repetition rate.Addressing this limitation,a real-time spectrum analysis scheme of wideband RF signals based on the fractional temporal Talbot effect is proposed and demonstrated.Based on the sampling and dispersion structure,the scheme realizes the mapping of the RF signal frequency to the optical pulse time interval.At the same time,the repetition rate of the optical pulse before sampling is multiplied by passing through a dispersive element satisfying the fractional Talbot distance in advance.The frequency measurement bandwidth of the system can be significantly improved by using the fractional Talbot effect.A proof-of-concept experiment is carried out to test the performance of the proposed scheme.The repetition period of the optical pulse is set to 151.5 ps,that is,the repetition frequency is 6.6 GHz.Each pulse has a Gaussian shape and the full width at half maximum of the pulse is approximately 30 ps.Dispersion compensation fiber is used to provide dispersion for the system.The total dispersion value of the two sections of dispersion is about 3650 ps2,which is about 0.1%different from the theoretical result.The RF signal to be measured is generated by a RF signal generator.The output optical signal is converted into an electrical signal by a 40 GHz bandwidth photodetector and recorded by a sampling oscilloscope with a bandwidth of 50 GHz.Comparing the experimental results under integer-order,3rd-order fractional,and 9th-order fractional temporal Talbot conditions,it is verified that the measurement frequency bandwidth of the system increases with the order of the temporal Talbot effect.Real-time spectral analysis of single-tone and two-tone RF signals within a 29.7 GHz bandwidth is achieved using the 9th-order fractional temporal Talbot effect.Numerical simulation is carried out to achieve time-frequency analysis of a large-bandwidth linear chirp signal.Based on the 3rd-order fractional temporal Talbot effect,a linear chirp signal with a frequency range of 2~13 GHz and a chirp rate of 2.2 GHz/ns is successfully identified.Numerical simulation results further verify that this scheme can effectively analyze frequency transient signals.The main causes of frequency measurement errors include the time jitter of the input optical pulse train,the limited bandwidth of the pulse detection system,the deviation between the dispersion value and the theoretical value,high-order dispersion terms,etc.In the experiment,the time jitter root mean square value of the optical pulse is approximately 1 ps,which is 0.066%of the period of the optical pulse train.When the frequency measurement bandwidth is 29.7 GHz,the frequency measurement error caused by the time jitter is about 200 MHz.In order to improve frequency measurement accuracy,methods such as reducing optical pulse jitter,increasing the bandwidth of the pulse detection system,and compensating for high-order dispersion can be used.It should be noted that the increase of frequency measurement bandwidth will sacrifice the frequency resolution of the system.In practical applications,the requirements of system bandwidth and frequency resolution should be fully considered to select the order of the fractional temporal Talbot effect.With its advantages of simple structure,large bandwidth,and real-time processing,this scheme has potential application value in the fields of broadband radar,cognitive radio,and other fields.
作者 杨波 赵雷 杨淑娜 池灏 YANG Bo;ZHAO Lei;YANG Shuna;CHI Hao(School of Information and Control Engineering,China University of Mining and Technology,Xuzhou 221116,China;School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China)
出处 《光子学报》 EI CAS CSCD 北大核心 2024年第4期139-145,共7页 Acta Photonica Sinica
基金 国家自然科学基金(Nos.62101168,61975048,61901148)。
关键词 频谱分析 光子辅助射频频谱分析 实时傅里叶变换 TALBOT效应 分数阶时域Talbot效应 Spectrum analysis Photonic assisted radio frequency spectrum analysis Real-time Fourier transform Talbot effect Fractional temporal Talbot effect
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