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Parameter estimation of LFM signals based on time reversal 被引量:1
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作者 MA Xinjie QI Wei +1 位作者 CHE Kaijun WU Gang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第3期674-681,共8页
In this paper,parameter estimation of linear frequency modulation(LFM)signals containing additive white Gaussian noise is studied.Because the center frequency estimation of an LFM signal is affected by the error propa... In this paper,parameter estimation of linear frequency modulation(LFM)signals containing additive white Gaussian noise is studied.Because the center frequency estimation of an LFM signal is affected by the error propagation effect,resulting in a higher signal to noise ratio(SNR)threshold,a parameter estimation method for LFM signals based on time reversal is proposed.The proposed method avoids SNR loss in the process of estimating the frequency,thus reducing the SNR threshold.The simulation results show that the threshold is reduced by 5 dB compared with the discrete polynomial transform(DPT)method,and the root-mean-square error(RMSE)of the proposed estimator is close to the Cramer-Rao lower bound(CRLB). 展开更多
关键词 linear frequency modulation(lfm)signal time reversal Cramer-Rao lower bound(CRLB) parameter estimation
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Chirp-Rate Resolution of Fractional Fourier Transform in Multi-component LFM Signal 被引量:12
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作者 刘锋 黄宇 +1 位作者 陶然 王越 《Journal of Beijing Institute of Technology》 EI CAS 2009年第1期74-78,共5页
Distinguishing close chirp-rates of different linear frequency modulation (LFM) signals under concentrated and complicated signal environment was studied. Firstly, detection and parameter estimation of multi-compone... Distinguishing close chirp-rates of different linear frequency modulation (LFM) signals under concentrated and complicated signal environment was studied. Firstly, detection and parameter estimation of multi-component LFM signal were used by discrete fast fractional Fourier transform (FrFT). Then the expression of chirp-rate resolution in fractional Fourier domain (FrFD) was deduced from discrete normalize time-frequency distribution, when multi-component LFM signal had only one center frequency. Furthermore, the detail influence of the sampling time, sampling frequency and chirp-rate upon the resolution was analyzed by partial differential equation. Simulation results and analysis indicate that increasing the sampling time can enhance the resolution, but the influence of the sampling frequency can he omitted. What's more, in multi-component LFM signal, the chirp-rate resolution of FrFT is no less than a minimal value, and it mainly dependent on the biggest value of chirp-rates, with which it has an approximately positive exponential relationship. 展开更多
关键词 fractional Fourier transform(FrFT) RESOLUTION linear frequency modulation(lfm signal chirp-rate
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Instantaneous frequency estimation of multi-component Chirp signals in noisy environments
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作者 WANG Bai-he HUANG Jian-guo 《Journal of Marine Science and Application》 2007年第4期13-17,共5页
A classical time-varying signal, the multi-component Chirp signal has been widely used and the ability to estimate its instantaneous frequency (IF) is very useful. But in noisy environments, it is hard to estimate t... A classical time-varying signal, the multi-component Chirp signal has been widely used and the ability to estimate its instantaneous frequency (IF) is very useful. But in noisy environments, it is hard to estimate the 1F of a multi-component Chirp signal accurately. Wigner distribution maxima (WDM) are usually utilized for this estimation. But in practice, estimation bias increases when some points deviate from the true IF in high noise environments. This paper presents a new method of multi-component Chirp signal 1F estimation named Wigner Viterbi fit (WVF), based on Wigner-Ville distribution (WVD) and the Viterbi algorithm. First, we transform the WVD of the Chirp signal into digital image, and apply the Viterbi algorithm to separate the components and estimate their IF. At last, we establish a linear model to fit the estimation results. Theoretical analysis and simulation results prove that this new method has high precision and better performance than WDM in high noise environments, and better suppression of interference and the edge effect. Compared with WDM, WVF can reduce the mean square error (MSE) by 50% when the signal to noise ration (SNR) is in the range of-15dB to -11dB. WVF is an effective and promising 1F estimation method. 展开更多
关键词 instantaneous frequency estimation multi-component Chirp signals Wigner-Villedistribution Viterbi algorithm linear fit
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基于多分量LFM信号时频分析的水声多普勒和时延估计研究
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作者 宁更新 肖若君 谢靓 《电子与信息学报》 EI CAS CSCD 北大核心 2024年第2期688-696,共9页
在水声多普勒因子和时延估计研究实用化的进程中,利用多分量线性调频(LFM)信号实现估计的算法研究越来越普遍。针对多分量LFM信号时频域存有交叉项时各分量参数估计不准确的问题,提出基于非完全残差与脊线段匹配的自适应模态分解方法。... 在水声多普勒因子和时延估计研究实用化的进程中,利用多分量线性调频(LFM)信号实现估计的算法研究越来越普遍。针对多分量LFM信号时频域存有交叉项时各分量参数估计不准确的问题,提出基于非完全残差与脊线段匹配的自适应模态分解方法。该方法采用非完全残差函数保留了交叉点处的部分时频信息,利用脊线段匹配方法提供更精确的预设时频脊线,改进了各分量LFM信号调频斜率和起始频率的估计精度。联合两个估计量进一步给出了多普勒因子和时延估计的算法。仿真结果表示,较现有模态分解算法,所提改进方法有效解决了估计分量过程中交叉区间断裂带来的估计误差;水声多径的条件下,该方法的多普勒因子和时延估计精度优于对比的现有方法。 展开更多
关键词 时频分析 多普勒因子 时延估计 多分量lfm信号 自适应模态分解
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基于FRFT的低信噪比LFM信号参数快速估计算法 被引量:1
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作者 东锦鹏 陈世文 +1 位作者 杨锦程 韩啸 《指挥控制与仿真》 2024年第1期71-77,共7页
基于分数阶傅里叶变换(Fractional Fourier Transform,FRFT)对线性调频(Linear Frequency Modulated,LFM)信号参数进行估计,问题关键是确定FRFT最佳阶数,根据误差迭代思想提出新的参数估计算法,该算法利用归一化带宽和旋转角的转化关系... 基于分数阶傅里叶变换(Fractional Fourier Transform,FRFT)对线性调频(Linear Frequency Modulated,LFM)信号参数进行估计,问题关键是确定FRFT最佳阶数,根据误差迭代思想提出新的参数估计算法,该算法利用归一化带宽和旋转角的转化关系,由估计误差推算角度差值,有效降低了运算量,不需要调频斜率正负的先验信息,改进的对数搜索算法可以进一步提高参数估计结果的稳定性和可靠性。仿真结果表明,信噪比在-8 dB以上时该方法在高效率的前提下仍具有良好的参数估计性能,平均估计误差在1%以内,估计结果接近Cramer-Rao下限,满足工程实时处理需求。 展开更多
关键词 低信噪比 分数阶傅里叶变换 线性调频信号 参数估计
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ALGORITHM FOR THE DETECTION AND PARAMETER ESTIMATION OF MULTICOMPONENT LFM SIGNALS 被引量:7
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作者 YuanWeiming WangMin WuShunjun 《Journal of Electronics(China)》 2005年第2期185-189,共5页
A novel algorithm based on Radon-Ambiguity Transform (RAT) and Adaptive Signal Decomposition (ASD) is presented for the detection and parameter estimation of multicompo-nent Linear Frequency Modulated (LFM) signals. T... A novel algorithm based on Radon-Ambiguity Transform (RAT) and Adaptive Signal Decomposition (ASD) is presented for the detection and parameter estimation of multicompo-nent Linear Frequency Modulated (LFM) signals. The key problem lies in the chirplet estimation. Genetic algorithm is employed to search for the optimization parameter of chirplet. High estimation accuracy can be obtained even at low Signal-to-Noisc Ratio(SNR). Finally simulation results are provided to demonstrate the performance of the proposed algorithm. 展开更多
关键词 Multicomponent Linear Frequency Modulated(lfm) signals Parameter estimation Radon-Ambiguity Transform (RAT) Adaptive signal Decomposition (ASD) Genetic algorithm
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Study on the Characteristics of LFM Signals, BC Signals and Their Mixed Modulation Signals 被引量:1
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作者 Zheng Dou Weidong Song Wenxu Zhang 《International Journal of Communications, Network and System Sciences》 2017年第8期196-205,共10页
This paper proposes a linear frequency modulation (LFM signal) and biphase coding (BC signal) mixed modulation signal called LFM-BC signal. LFM-BC signal has both LFM signal and BC signal two kinds of traditional sign... This paper proposes a linear frequency modulation (LFM signal) and biphase coding (BC signal) mixed modulation signal called LFM-BC signal. LFM-BC signal has both LFM signal and BC signal two kinds of traditional signal advantages but makes up for their shortcomings. In this paper, LFM-BC signal, LFM and BC signals are studied and compared from the time characteristic and frequency characteristic of the signal, fuzzy function, pulse compression and Doppler characteristics and low probability of interception (LPI) characteristics. 展开更多
关键词 lfm signal BC signal lfm-BC signal Pulse Compression LPI DOPPLER Char-acteristics
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Generalized Parseval’s Theorem on Fractional Fourier Transform for Discrete Signals and Filtering of LFM Signals 被引量:1
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作者 Xiaotong Wang Guanlei Xu +2 位作者 Yue Ma Lijia Zhou Longtao Wang 《Journal of Signal and Information Processing》 2013年第3期274-281,共8页
This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem reduces to an inequality w... This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem reduces to an inequality with lower and upper bounds associated with FRFT parameters, named as generalized Parseval’s theorem by us. These results theoretically provide potential valuable applications in filtering, and examples of filtering for LFM signals in FRFT domains are demonstrated to support the derived conclusions. 展开更多
关键词 Discrete Fractional FOURIER Transform (DFRFT) Uncertainty Principle Frequency-Limiting Operator Linear FREQUENCY-MODULATION (lfm) signal FILTERING
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Union Resolution Performance of Frequency Modulation Parameter Based on RWT for LFM Signals
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作者 Wenchen Li Huimin Yang +3 位作者 Hong Li Mei Dan Xuesong Wang Shunping Xiao 《Journal of Signal and Information Processing》 2012年第4期457-464,共8页
Union resolution performance of FM (frequency modulation) parameter based on Radon-Wigner transform (RWT) for multi-component LFM (linear frequency modulation) signals is studied. Firstly, the RWT output expression is... Union resolution performance of FM (frequency modulation) parameter based on Radon-Wigner transform (RWT) for multi-component LFM (linear frequency modulation) signals is studied. Firstly, the RWT output expression is offered, and the independent resolution performances of initial frequency and chirp rate are analyzed. Secondly, the RWT output approximate analytic expression is given based on quadratic Taylor's series expansion, and the contour property is analyzed. Contour can be used to picture the union resolution performance of FM parameter, and 2-D resolution performance is studied based on approximate analytic expression, and the union resolution expression of FM parameter and resolution ellipse are offered. The simulation results validate the union resolution expression, and show that the union resolution can improve the resolution performance of multi-component LFM signals, contrasted with absolute resolution performance. The paper can help the study of LFM parameter estimation and resolution performance. 展开更多
关键词 multi-component lfm signals Radon-Wigner Transform (RWT) RESOLUTION ELLIPSE UNION RESOLUTION of FM PARAMETER Half-Power LOBE Width
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基于Z变换和改进FRI的LFM信号参数估计方法研究
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作者 孟硕 孟晨 王成 《系统工程与电子技术》 EI CSCD 北大核心 2024年第7期2228-2236,共9页
为了完成线性调频(linear frequency modulation,LFM)信号的稀疏采样,并利用稀疏数据对原始信号参数进行估计,本文提出了一种基于Z变换和改进有限新息率(finite rate of innovation,FRI)的LFM信号参数估计方法。以Z变换理论为基础,设计... 为了完成线性调频(linear frequency modulation,LFM)信号的稀疏采样,并利用稀疏数据对原始信号参数进行估计,本文提出了一种基于Z变换和改进有限新息率(finite rate of innovation,FRI)的LFM信号参数估计方法。以Z变换理论为基础,设计了一种数学模型,一旦信号能够表达成该数学模型的结构形式,就能通过Z变换和零化滤波器的方法估计信号参数。然后,利用了自相关延迟的FRI结构对LFM信号采样,该结构不仅完成了LFM信号的稀疏采样,而且稀疏采样结果能够与数学模型结构相符。在理论上通过数学论证的方式证明了所提方法能够用于获取LFM信号参数信息,并通过仿真和实测数据验证了所提方法的有效性,理论和实验结果表明该方法只需要4个采样点就能实现对LFM信号的参数估计,并且实验中的参数估计误差均在3%以内,极大的提高有限新息率采样的参数估计效率。 展开更多
关键词 线性调频信号 有限新息率 零化滤波器 Z变换 参数估计
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Study of ultra-wideband radar signals-generated technology using two-channel signal generator 被引量:4
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作者 Wan Yonglun Lu Youxin +2 位作者 Si Qiang Wang Xuegang Cao Guangping 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第4期710-715,共6页
Synthesis of ultra-wideband (UWB) linear frequency modulation radar signals is a very important technology for microwave imaging, target identification and detection of low radar-cross-section (RCS) targets. A new... Synthesis of ultra-wideband (UWB) linear frequency modulation radar signals is a very important technology for microwave imaging, target identification and detection of low radar-cross-section (RCS) targets. A new method of UWB radar signals generation with two-channel signal generator is presented. The realization structure is given; the principle and errors of signal synthesis are analyzed. At the same time, an automatic .adjustment measure of signal phase is proposed because of phase discontinuity of waveform in this method. The simulation experiment and analysis results indicate that radar signals with large instantaneous bandwidth can be generated by means of this method on the condition that the high-speed digital devices are limited. 展开更多
关键词 UWB DDS lfm two-channel signal generator pulse compression
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一种超宽带雷达LFM信号数字产生器校正方法
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作者 胡仕兵 陈子为 《成都信息工程大学学报》 2023年第4期414-421,共8页
UWB雷达LFM信号源的设计是UWB雷达系统设计的关键技术之一,其信号质量直接影响UWB雷达的整体探测性能。针对基于DDWS方法的“I/Q基带数字产生+正交调制+倍频”方式的UWB-LFM信号产生器,从频域角度建立误差信号的数学模型;分析系统误差... UWB雷达LFM信号源的设计是UWB雷达系统设计的关键技术之一,其信号质量直接影响UWB雷达的整体探测性能。针对基于DDWS方法的“I/Q基带数字产生+正交调制+倍频”方式的UWB-LFM信号产生器,从频域角度建立误差信号的数学模型;分析系统误差提取和补偿的可行性,并提出一种针对系统误差的数字预失真校正方法。该方法将系统失真的补偿函数特性等效到系统数字输入端,通过改变波形存储器中的样点数据实现系统失真的校正和补偿。仿真结果表明该方法可以显著改善UWB雷达LFM信号的质量,验证了该方法的可行性、正确性和有效性。 展开更多
关键词 UWB雷达 lfm信号产生器 频域幅相误差 误差校正 数字预失真 匹配滤波
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HIGH RESOLUTION RANGE PROFILE FORMATION BASED ON LFM SIGNAL FUSION OF MULTIPLE RADARS 被引量:2
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作者 Wang Cheng Hu Weidong Du Xiaoyong Yu Wenxian 《Journal of Electronics(China)》 2007年第1期75-82,共8页
This paper presents a new method of High Resolution Range (HRR) profile formation based on Linear Frequency Modulation (LFM) signal fusion of multiple radars with multiple frequency bands. The principle of the multipl... This paper presents a new method of High Resolution Range (HRR) profile formation based on Linear Frequency Modulation (LFM) signal fusion of multiple radars with multiple frequency bands. The principle of the multiple radars signal fusion improving the range resolution is analyzed. With the analysis of return signals received by two radars,it is derived that the phase difference between the echoes varies almost linearly with respect to the frequency if the distance between two radars is neg-ligible compared with the radar observation distance. To compensate the phase difference,an en-tropy-minimization principle based compensation algorithm is proposed. During the fusion process,the B-splines interpolation method is applied to resample the signals for Fourier transform imaging. The theoretical analysis and simulations results show the proposed method can effectively increase signal bandwidth and provide a high resolution range profile. 展开更多
关键词 Linear Frequency Modulation lfm Inverse Synthetic Aperture Radar (ISAR) signal fusion High Resolution Range (HRR) profile
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Parameter Estimation of Linear Frequency Modulated Signals Based on Holder Coefficient
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作者 Yu-Ning Zhao Xiao-Dong Yang Yun Lin 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2013年第2期95-98,共4页
The current parameter estimation algorithms of chirp rate have high complexity and long calculation time,meantime they are difficult to achieve high estimation rate. Therefore,in order to overcome these problems,in th... The current parameter estimation algorithms of chirp rate have high complexity and long calculation time,meantime they are difficult to achieve high estimation rate. Therefore,in order to overcome these problems,in this paper,a new parameter estimation algorithm based on Holder coefficient is presented. Firstly,this algorithm calculates the correlation curve of the Holder coefficient value under different chirp rate. Secondly,this algorithm calculates the correlation curve under different SNR. Finally,the fitting curve expression can be got by the correlation curve,and then the estimation value of chirp rate can also be got. The theory analysis and simulation results show that this algorithm is simple and easy to realize,and has much better application value for real-time estimation. 展开更多
关键词 PARAMETER estimation lfm signal CHIRP rate HOLDER COEFFICIENT correlation CURVE
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An algorithm for frequency estimation of signals composed of multiple single-tones
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作者 吴杰康 何奔腾 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第2期179-184,共6页
The high-accuracy, wide-range frequency estimation algorithm for multi-component signals presented in this paper, is based on a numerical differentiation and central Lagrange interpolation. With the sample sequences, ... The high-accuracy, wide-range frequency estimation algorithm for multi-component signals presented in this paper, is based on a numerical differentiation and central Lagrange interpolation. With the sample sequences, which need at most 7 points and are sampled at a sample frequency of 25600 Hz, and computation sequences, using employed a formulation proposed in this paper, the frequencies of each component of the signal are all estimated at an accuracy of 0.001% over 1 Hz to 800 kHz with the amplitudes of each component of the signal varying from 1 V to 200 V and the phase angle of each component of the signal varying from 0° to 360°. The proposed algorithm needs at most a half cycle for the frequencies of each component of the signal under noisy or non-noisy conditions. A testing example is given to illustrate the proposed algorithm in Matlab environment. 展开更多
关键词 multi-component signal Frequency estimation Numerical differentiation Lagrange interpolation
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Parameter estimation method for a linear frequency modulation signal with a Duffing oscillator based on frequency periodicity
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作者 张宁哲 闫晓鹏 +2 位作者 吕明慧 陈秀梅 黄鼎琨 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期237-246,共10页
In view of the complexity of existing linear frequency modulation(LFM)signal parameter estimation methods and the poor antinoise performance and estimation accuracy under a low signal-to-noise ratio(SNR),a parameter e... In view of the complexity of existing linear frequency modulation(LFM)signal parameter estimation methods and the poor antinoise performance and estimation accuracy under a low signal-to-noise ratio(SNR),a parameter estimation method for LFM signals with a Duffing oscillator based on frequency periodicity is proposed in this paper.This method utilizes the characteristic that the output signal of the Duffing oscillator excited by the LFM signal changes periodically with frequency,and the modulation period of the LFM signal is estimated by autocorrelation processing of the output signal of the Duffing oscillator.On this basis,the corresponding relationship between the reference frequency of the frequencyaligned Duffing oscillator and the frequency range of the LFM signal is analyzed by the periodic power spectrum method,and the frequency information of the LFM signal is determined.Simulation results show that this method can achieve high-accuracy parameter estimation for LFM signals at an SNR of-25 dB. 展开更多
关键词 linear frequency modulation(lfm)signal Duffing oscillator frequency periodicity parameter estimation
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高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析 被引量:36
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作者 刘建成 刘忠 +2 位作者 王雪松 肖顺平 王国玉 《电子与信息学报》 EI CSCD 北大核心 2007年第10期2337-2340,共4页
目标大机动运动使雷达回波表现为频率和调频率参数均未知的LFM信号。未知参数LFM信号的检测和估计采用分数阶Fourier变换来实现受到越来越多的关注,为此本文着重分析其分数阶Fourier变换的信噪比。首先推导出时限线性调频信号的分数阶Fo... 目标大机动运动使雷达回波表现为频率和调频率参数均未知的LFM信号。未知参数LFM信号的检测和估计采用分数阶Fourier变换来实现受到越来越多的关注,为此本文着重分析其分数阶Fourier变换的信噪比。首先推导出时限线性调频信号的分数阶Fourier变换模平方,给出了在分数阶Fourier域的峰值点与未知参数的关系,然后研究了附加白噪声LFM信号在分数阶Fourier域的统计特性,确定了其信噪比,并与理想情况(即参数频率和调频率参数已知)下线性相位匹配滤波器的输出信噪比进行了比较。 展开更多
关键词 lfm信号 参数估计 分数阶FOURIER变换 信噪比
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基于高斯短时分数阶傅里叶变换的多分量LFM信号检测与参数估计 被引量:26
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作者 李家强 金荣洪 +2 位作者 耿军平 范瑜 毛炜 《电子与信息学报》 EI CSCD 北大核心 2007年第3期570-573,共4页
该文针对线性调频信号,提出一种基于分数阶波包变换分析方法——高斯短时分数阶傅里叶变换。通过旋转角度的搜索及高斯窗口宽度的调整,能够在低信噪比条件下对多分量LFM信号进行检测,避免交叉项的出现,并能得到参数的估计值。通过推导... 该文针对线性调频信号,提出一种基于分数阶波包变换分析方法——高斯短时分数阶傅里叶变换。通过旋转角度的搜索及高斯窗口宽度的调整,能够在低信噪比条件下对多分量LFM信号进行检测,避免交叉项的出现,并能得到参数的估计值。通过推导分析给出变换结果的解析表达式,计算机仿真结果也表明了该变换的有效性。 展开更多
关键词 线性调频信号 分数阶傅里叶变换 信号检测 参数估计
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基于分数阶Fourier变换的多分量LFM信号检测与参数估计 被引量:15
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作者 章步云 刘爱芳 +1 位作者 朱晓华 刘中 《数据采集与处理》 CSCD 2003年第4期408-411,共4页
介绍了分数阶 Fourier变换的基本原理和基本性质 ,提出了基于分数阶 Fourier变换的多分量 LFM信号检测和参数估计方法。为了解决多个 LFM分量之间的相互影响问题 ,特别是强分量掩盖弱分量的问题 ,本文还提出了一种结合逐次消去思想和分... 介绍了分数阶 Fourier变换的基本原理和基本性质 ,提出了基于分数阶 Fourier变换的多分量 LFM信号检测和参数估计方法。为了解决多个 LFM分量之间的相互影响问题 ,特别是强分量掩盖弱分量的问题 ,本文还提出了一种结合逐次消去思想和分数阶 Fourier变换的多分量 LFM信号检测和参数估计算法 ,它可以解决强度相差较大的多分量 LFM信号中检测和估计弱 LFM分量参数的问题。 展开更多
关键词 信号处理 参数估计 分数阶FOURIER变换 多分量lfm信号 信号检测
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一种低信噪比下LFM信号参数快速估计算法 被引量:26
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作者 韩孟飞 王永庆 +1 位作者 吴嗣亮 崔嵬 《北京理工大学学报》 EI CAS CSCD 北大核心 2009年第2期147-151,共5页
为了对线性调频(LFM)信号参数进行快速、准确的估计,提出了一种新算法.该算法根据LFM信号当能量一定时在相同时宽范围内频谱幅度平方与调频斜率成反比的特点,通过对若干组快速傅里叶变换(FFT)结果进行模值选大,同时给出了起始频率和调... 为了对线性调频(LFM)信号参数进行快速、准确的估计,提出了一种新算法.该算法根据LFM信号当能量一定时在相同时宽范围内频谱幅度平方与调频斜率成反比的特点,通过对若干组快速傅里叶变换(FFT)结果进行模值选大,同时给出了起始频率和调频斜率的估计.仿真结果表明,通过合理设置算法参数,算法可以用于信噪比低至-38 dB的LFM信号的参数估计. 展开更多
关键词 lfm信号参数估计 低信噪比 FFT运算 信噪比损失
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