An efficient method for parameter estimation and separation of multi-component LFM signals

Lu, Zhenkun; Liu, Shaohang; Qiu, Jian; Huang, Qinghua; Yang, Cui

doi:10.1016/j.sigpro.2023.108964

Cited by 10 publications

(6 citation statements)

References 25 publications

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“…It is particularly effective in the analysis of LFM signals due to its superior aggregation capabilities. In the literature [21], FRFT was used to study the LFM signal set, and it was found that the LFM, at a certain level, is a shock function, and the FRFT approach was then used to extract the relevant data. In the literature [22], the FRFT properties of the LFM signal set were analysed, and multiparameter data for the set were extracted using the FRFT method with varying initial frequencies.…”

Section: Parameter Estimation For Communication Receivermentioning

confidence: 99%

Multi-Beam Radar Communication Integrated System Design

Ma,

Wang,

Sun

et al. 2023

Information

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In this paper, we propose a multi-beam integrated radar and communication scheme using phased-array antenna, in which the same LFM-BPSK integrated waveform is used for both the radar and the communication beams. In the integrated beam design, the radar beam is periodically scanned in different directions for detection, and the communication beam is periodically manipulated in one direction for communication. The system’s beamforming uses adaptive beamforming technology to achieve radar echoes and communication reception. For the LFM-BPSK integrated waveform used by the system, we propose a method for estimating parameters during communication reception. Through simulation, the proposed beam-pattern design, adaptive beamforming, and parameter estimation scheme can achieve radar and communication functions using phased-array antennas.

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Section: Parameter Estimation For Communication Receivermentioning

confidence: 99%

Multi-Beam Radar Communication Integrated System Design

Ma,

Wang,

Sun

et al. 2023

Information

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“…According to the characteristics that the polyphase encoded signals present as a series of equally spaced impulses in the transformation domain uv − ( ), namely, in the FRFT spectrum, the objective function that can more prominently highlight the peak value of the impulses, should be selected. Here, the maximum amplitude (max-AM) [27] , the fourth-order origin moment (fourth-order OMFrS) [20] , and the information entropy (IE-FRFT) [18] are selected as the objective functions, and their mathematical definitions are shown as follows ( )…”

Section: Selection Of the Objective Functionmentioning

confidence: 99%

“…In terms of the research on the search function of FRFT algorithm, the golden section algorithm was proposed in literature [24], which can converge quickly to the optimum order but is greatly affected by noise and is easy to fall into the local optimal. According to literature [20], an improved search algorithm has been proposed which exhibits relative stability, but still requires further optimization in terms of operation speed. The research on the search function of the parameter estimation algorithm for polyphase coded signals was conducted in literature [4], where an iterative angle search algorithm was proposed with high efficiency and accuracy based on WHT.…”

Section: Introductionmentioning

confidence: 99%

“…Regarding the study of the objective function of the parameter estimation algorithm, for LFM signals, information entropy was proposed as the objective function in literature [18], and the Otsu detection method was proposed in literature [19], but both performed poorly in low signal-to-noise ratio (SNR) environments. Literature [20][21] proposed the fourth-order origin moment as the objective function for single and multicomponent LFM signals respectively, and the results of parameter estimation through simulation experiments were good. Literature [22][23] proposed norm as the objective function, but it is not suitable for polyphase coded signals.…”

Section: Introductionmentioning

confidence: 99%

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Parameter estimation of polyphase coded radar signal based on FRFT

Dong,

Chen,

Sun

et al. 2023

Preprint

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Due to the complex intra-pulse modulation of polyphase code signals, most research on intra-pulse parameter estimation algorithms has focused on utilizing techniques such as the Wigner Hough transform (WHT), Radon Wigner transform (RAT), and other methods. In this paper, we studied the fractional Fourier transform (FRFT) normalized spectrum of polyphase coded signals and derived a mathematical model to prove the impulse characteristic of the polyphase coded spectrum under optimum order. This is the theoretical basis for the fourth-order origin moment as the objective function, and an algorithm based on FRFT is proposed to estimate the intra-pulse parameters of polyphase coded signals. Through simulation experiments, it was shown that the algorithm has a good parameter estimation effect and low computational time, making it suitable for engineering practice. Furthermore, considering the difficulty in obtaining prior information on parameters in non-cooperative environments, which leads to the inapplicability of evaluation standard such as mean square error (MSE), we proposed an evaluation standard for parameter estimation based on a posteriori models. Through simulation experiments, this standard was proven to be as persuasive as MSE.

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“…To address the parameter estimation under impulsive noise environment, scholars have proposed many methods, such as, fractional lower-order statistics [3][4][5], nonlinear transform [6][7][8], tracking differentiator [9,10], convolutional neural networks [11,12]. In [3], an improved fractional lower order LVD (FLO-LVD) for the impulsive noise is proposed, which can overcome the influence of cross-terms and achieve higher estimation accuracy.…”

Section: Introductionmentioning

confidence: 99%

Parameter Estimation of LFM Signals Based on FOTD-CFRFT under Impulsive Noise

Wang,

Guo,

Yang

2023

Fractal Fract

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Due to the short duration and high amplitude characteristics of impulsive noise, these parameter estimation methods based on Gaussian assumptions are ineffective in the presence of impulsive noise. To address this issue, a LFM signal parameter estimation method is proposed based on FOTD and CFRFT. Firstly, the mathematical expression of FOTD is presented and its tracking performance is verified. Secondly, the tracked signal is subjected to discrete time CFRFT, and a mathematical optimization model for LFM signal parameter estimation is established on the fractional spectrum characteristic. Finally, a correction method for non-standard SαS distributed noise is proposed, and the performance of parameter estimation under both standard and non-standard SαS distributions are analyzed. The simulation results show that this method not only effectively suppresses the impact of impulsive noise on the fractional spectrum of LFM signal, but also has better parameter estimation accuracy and stability in the low GSNR. The proposed method is particularly effective under the measured noise environment, as it successfully suppresses the impact of impulsive noise and achieves high-precision parameter estimation.

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An efficient method for parameter estimation and separation of multi-component LFM signals

Cited by 10 publications

References 25 publications

Multi-Beam Radar Communication Integrated System Design

Multi-Beam Radar Communication Integrated System Design

Parameter estimation of polyphase coded radar signal based on FRFT

Parameter Estimation of LFM Signals Based on FOTD-CFRFT under Impulsive Noise

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