Parameters estimation of sinusoidal frequency modulation signal with application in synthetic aperture radar imaging

Wang, Yong; Wang, Zhaofa; Zhao, Bang‐Tun; Xu, Liang

doi:10.1117/1.jrs.10.020502

Cited by 11 publications

(12 citation statements)

References 8 publications

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“…15(a)-(b), it can be seen that B_up3 can match T_up1 very well. Based on (35), we can obtain the PCC between B_up3 and T_up1 0.9985 TB r  , which means that the contours of T_up1 and B_up3 are highly similar. Therefore, the camouflage ability of the synthesized bionic signal B_up3 is very high.…”

Section: Modulation Of Cetacean Tonal Soundsmentioning

confidence: 98%

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Synthesis and Modification of Cetacean Tonal Sounds for Underwater Bionic Covert Detection and Communication

et al. 2020

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Section: Modulation Of Cetacean Tonal Soundsmentioning

confidence: 98%

“…The second method of constructing the bionic signal model is based on the SFM signal model. A SFM signal [35] with a duration T is defined as…”

Section: B Sinusoidal Frequency Modulation Bionic (Sfmb) Signal Modelmentioning

confidence: 99%

Synthesis and Modification of Cetacean Tonal Sounds for Underwater Bionic Covert Detection and Communication

et al. 2020

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“…Step 4. On the basis of the estimated vibration parameters, use (23) to calculate the MLF G(h). If G(h) > G, set G = G(h), h = h j and record the corresponding estimated parameters values.…”

Section: Improved Stft-based Fine Estimationmentioning

confidence: 99%

“…The discrete sinusoidal frequency modulation transforms (DSFMT) and the optimization method are combined to estimate the multi-component vibration parameters in [22,23]. However, it inevitably results in large estimation errors because of the convergence to a local minimum.…”

Section: Introductionmentioning

confidence: 99%

A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform

Jiang

et al. 2021

Applied Sciences

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High-frequency vibration error of a moving radar platform easily introduces a non-negligible phase of periodic modulation in radar echoes and greatly degrades terahertz synthetic aperture radar (THz-SAR) image quality. For solving the problem of THz-SAR image-quality degradation, the paper proposes a multi-component high-frequency vibration error estimation and compensation approach based on the short-time Fourier transform (STFT). To improve the robustness of the method against noise effects, STFT is used to extract the instantaneous frequency (IF) of a high-frequency vibration error signal, and the vibration parameters are coarsely obtained by the least square (LS) method. To reduce the influence of the STFT window widths, a method based on the maximum likelihood function (MLF) is developed for determining the optimal window width by a one-dimensional search of the window widths. In the case of high noise, many IF estimation values seriously deviate from the true ones. To avoid the singular values of IF estimation in the LS regression, the random sample consensus (RANSAC) is introduced to improve estimation accuracy. Then, performing the STFT with the optimal window width, the accurate vibration parameters are estimated by LS regression, where the singular values of IF estimation are excluded. Finally, the vibration error is reconstructed to compensate for the non-negligible phase of the platform-induced periodic modulation. The simulation results prove that the error compensation method can meet THz-SAR imaging requirements, even at a low signal-to-noise ratio (SNR).

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“…However, it needs to search in multi-dimensional space, resulting in huge computational burden. Thus, the global optimization techniques such as the simulated annealing algorithm and the particle swarm optimization algorithm are used for reducing the computational load, but converging to a local minimum is inevitable when they are used in practice, which results in a large error in the parameter estimation results [23], [24].…”

Section: Introductionmentioning

confidence: 99%

Estimation of High-Frequency Vibration Parameters for Terahertz SAR Imaging Based on FrFT With Combination of QML and RANSAC

et al. 2021

IEEE Access

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High-frequency vibration of motion platform leads to paired echo for synthetic aperture radar (SAR) imaging, especially in terahertz band due to its shorter wave length. Different from most existing parameters estimation methods only considering single component high-frequency vibration, in this paper a novel method considering multi-components vibration model is proposed based on fractional Fourier transform (FrFT) with combination of quasi-maximum likelihood (QML) and random sample consensus (RANSAC). Based on the model establishment of high-frequency vibration error in the echo, its instantaneous chirp rate (ICR) is firstly estimated by FrFT in sliding sub-aperture, followed which the vibration parameters are coarsely obtained through spectrum analysis and least square (LS) regression. To further refine the parameters estimates, QML is developed for compensating the deviation both caused by the frequency spectrum leakage and the error propagation effects by one-dimensional search over the vibration frequency. Meanwhile, RANSAC is adopted for avoiding the outlier of the ICR estimates in LS regression, especially at low signal-to-noise ratio (SNR). Thus, the refinement strategy based on the combination of QML and RANSAC is developed, whose utilization improves the estimation accuracy of vibration parameters. Finally, the paired echo in terahertz SAR (THz-SAR) imaging is effectively suppressed by the proposed method, and the high-quality THz-SAR imaging results are achieved. Both simulations of single component and multi-components high-frequency vibration are used to verify the validity of the proposed method. The simulation results show that the proposed method has higher estimation accuracy even at low SNR.INDEX TERMS Fractional Fourier transform (FrFT), high-frequency vibration, quasi-maximum likelihood (QML), random sample consensus (RANSAC), terahertz synthetic aperture radar (THz-SAR).

show abstract

Parameters estimation of sinusoidal frequency modulation signal with application in synthetic aperture radar imaging

Cited by 11 publications

References 8 publications

Synthesis and Modification of Cetacean Tonal Sounds for Underwater Bionic Covert Detection and Communication

Synthesis and Modification of Cetacean Tonal Sounds for Underwater Bionic Covert Detection and Communication

A High-Frequency Vibration Error Compensation Method for Terahertz SAR Imaging Based on Short-Time Fourier Transform

Estimation of High-Frequency Vibration Parameters for Terahertz SAR Imaging Based on FrFT With Combination of QML and RANSAC

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