Frequency estimation of chirp signals based on fractional fourier transform combined with Otsu’s method

Xiao, Bo; Wang, Chunyang

doi:10.1016/j.ijleo.2021.166945

Cited by 7 publications

(4 citation statements)

References 9 publications

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“…To further study the frequency estimation ability of a weak signal with arbitrary initial phase, the signal s 2 (t) = 0.005 sin(50πt + ϕ) + n(t) is used, and the variance of Gaussian white noise n(t) is still 0.002. As can be seen in table 3, the relative errors of the different initial phases of the detected weak signal are less than 0.6%. Therefore, the proposed method has high-frequency estimation accuracy under arbitrary initial phase conditions.…”

Section: Simulation Signal Verificationmentioning

confidence: 78%

“…Detecting weak signals submerged by strong noise has been extensively applied in hazardous gas monitoring [1], communication systems [2,3], electroencephalogram (EEG) signal processing [4], underwater vehicle detection [5][6][7][8], bearing fault diagnosis [9][10][11][12], and other scenarios. In these applications, researchers have studied many theoretical analysis tools and practical weak signal processing methods to extract * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

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Automated weak signal frequency estimation method based on Duffing oscillator and particle swarm optimization

Wang¹,

Cheng²,

Wang³

et al. 2022

Meas. Sci. Technol.

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The frequency of a weak signal is used for fault diagnosis and target identification in various fields. By introducing particle swarm optimization (PSO) and spectral entropy (SE), an automated weak signal frequency estimation method based on the Duffing oscillator is proposed. The proposed method uses the differential structure to enhance the timing difference of the Duffing oscillator between the chaotic and large-scale periodic states, which is quantitatively distinguished by SE. Then, the frequency of the internal driving force is adaptively adjusted by the PSO to allow the SE to reach a minimum value where the driving frequency equals the weak signal frequency. A group of weak signals with different frequencies has been tested. The maximum relative frequency error is only 0.68%. Unlike other chaotic oscillator-based frequency estimation methods, the proposed method does not need to determine the phase state manually. A rough initial frequency search range is sufficient for automatic frequency measurement of the proposed method in this paper.

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Section: Simulation Signal Verificationmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Automated weak signal frequency estimation method based on Duffing oscillator and particle swarm optimization

Wang¹,

Cheng²,

Wang³

et al. 2022

Meas. Sci. Technol.

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show abstract

“…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.…”

Section: Introductionmentioning

confidence: 99%

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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“…Weak signal detection and parameter estimation methods in complex noise environments have been widely used in other fields, such as scientific research [8,9], bioscience [10], chemistry [11], and so on. To extract enough useful information from the low signal-tonoise ratio (SNR) signals, researchers proposed a variety of detection methods from the aspect of linear theory, such as time-frequency analysis and adaptive filters [12], to the aspect of nonlinear theory, such as the chaos system [13], stochastic resonance [14], and machine learning methods [15].…”

Section: Introductionmentioning

confidence: 99%

A Software Digital Lock-In Amplifier Method with Automatic Frequency Estimation for Low SNR Multi-Frequency Signal

et al. 2022

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In the fault diagnosis field, the fault feature signal is weak and contaminated by the noise. The lock-in amplifier is a useful tool for weak signal detection. Aiming to the amplitude error of the lock-in amplifier caused by frequency deviation between the measured signal and the reference signal, a DFT-based automatic signal frequency estimation method is studied to improve the frequency accuracy of the reference signal. Based on this frequency estimation method, a software digital lock-in amplifier method is proposed to detect the multiple frequencies signals. This proposed method can automatically measure the frequency value of the measured signal without prior frequency information. Then, the reference signals are generated through this frequency value to make the digital lock-in amplifier estimate the amplitude of the measured signal. Moreover, an iterative structure is used to implement the multiple frequencies signal measurement. The frequencies and amplitudes measurement accuracies are tested. Under different SNR conditions, the frequency relative error is less than 0.1%. In addition, the amplitude relative error with different signal frequencies is less than 1.7% when the SNR is −1 dB. This proposed software digital lock-in amplifier method has a higher signal frequency tracking ability and amplitude measurement accuracy.

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Frequency estimation of chirp signals based on fractional fourier transform combined with Otsu’s method

Cited by 7 publications

References 9 publications

Automated weak signal frequency estimation method based on Duffing oscillator and particle swarm optimization

Automated weak signal frequency estimation method based on Duffing oscillator and particle swarm optimization

Parameter estimation of polyphase coded radar signal based on FRFT

A Software Digital Lock-In Amplifier Method with Automatic Frequency Estimation for Low SNR Multi-Frequency Signal

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