Phase Extraction Algorithm Based on the Spatial Carrier-Frequency Phase-Shifting Gradient

Zou, Haoren; Zhong, Liu; Li, Jiaosheng; Sun, Zhenda; Liu, Yicheng; Ning, Qinwen; Liu, Xiaoxu

doi:10.1109/jphot.2019.2950103

Cited by 2 publications

(2 citation statements)

References 20 publications

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“…By taking Equation (24) to Equation (28) into Equation ( 23), the analytical formul the first derivative is obtained After performing phase error calibration for Equation (16), the beamforming w error calibration is…”

Section: Phase Error Estimation Based On Newton Maximum Entropy Algor...mentioning

confidence: 99%

“…It is easier to solve a one-dimensional phase error than to solve two-or three-dimensional position errors, and the phase error can be obtained by using a single known radiant source as a reference source [9][10][11][12]. As for the solution to phase error, based on the information of the reference source, the phase error can be estimated using the phase gradient (PG) value of the received signal between the array elements [13][14][15][16][17], but this method requires a high signal-to-noise ratio (SNR), and under the condition of low SNR, the deviation of the phase error estimation value from the real value is large. Phase error can also be solved by iteration.…”

Section: Introductionmentioning

confidence: 99%

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IN-ME Position Error Compensation Algorithm for the Near-Field Beamforming of UAVs

Zhang¹,

Wang²,

Leng³

et al. 2022

Mathematics

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The target of an unmanned aerial vehicle swarm will present near-field characteristics when it is integrated as an array, and the existence of the unmanned aerial vehicle swarm motion error will greatly deteriorate the beam pattern formed by the array. To solve these problems, a near-field array beamforming model with array element position error is constructed, and the Taylor expansion of the phase difference function is used to approximately simplify the model. The improved Newton maximum entropy algorithm is proposed to estimate and compensate for the phase errors. The maximum entropy objective function is established, and the Newton iterative algorithm is used to estimate the phase error iteratively. To select the proper Newton iteration initial value, based on a single reference source signal, the initial value of the phase error is estimated through the phase gradient information of the received array signal. Beamforming is carried out after phase error compensation regarding the array. In order to assess the mismatch of the phase error compensation function based on the proposed method, when the beam is scanning, the effectively compensated spatial area of the array beamforming is divided, which lays a foundation for subsequent spatial region division and unmanned aerial vehicle swarm path planning. The simulation results show that the beam formed by the method proposed in this paper has a lower sidelobe level, and as the signal-to-noise ratio changes, the robustness of the proposed method is better validated. The proposed algorithm can effectively suppress the adverse influence of array element position error on array beamforming, and when the beam is scanning, the effectively compensated area of the phase error compensation function is divided, based on the proposed method.

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Section: Phase Error Estimation Based On Newton Maximum Entropy Algor...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

IN-ME Position Error Compensation Algorithm for the Near-Field Beamforming of UAVs

Zhang¹,

Wang²,

Leng³

et al. 2022

Mathematics

View full text Add to dashboard Cite

show abstract

Two-step orthogonalization phase demodulation method based on a single differential interferogram

Zhang²

2022

Opt. Express

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To reduce the acquisition time of interferogram and provide a dynamic phase retrieval method with arbitrary phase shift using a dual-channel simultaneous polarization phase-shifting system, a two-step orthogonalization phase demodulation method (TOPD) based on a single differential interferogram is proposed in this paper. In this method, the differential interferogram obtained by subtracting two phase-shifting interferograms and one of the Gaussian filtered based-interferograms are used to normalize and orthogonalize, and then the phase related parameters are solved by the Lissajous ellipse fitting method. Finally, the measured phase is obtained with high accuracy. The proposed method further reduces the deviation caused by the filtering operation performed in the two-step phase demodulation method. At the same time, combined it with the Lissajou ellipse fitting method reduces the limitation associated with the approximation conditions of the orthogonalization and normalization method. The experimental and simulation results demonstrate that this method provides a solution with high accuracy, high stability, strong practicability, and few restrictions for phase extraction in quantitative phase imaging.

show abstract

Phase Extraction Algorithm Based on the Spatial Carrier-Frequency Phase-Shifting Gradient

Cited by 2 publications

References 20 publications

IN-ME Position Error Compensation Algorithm for the Near-Field Beamforming of UAVs

IN-ME Position Error Compensation Algorithm for the Near-Field Beamforming of UAVs

Two-step orthogonalization phase demodulation method based on a single differential interferogram

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