A feedback control method for phase signal demodulation in fiber-optic hydrophones

doi:10.1007/s10483-024-3092-6

Abstract

Abstract:

In the realm of acoustic signal detection, the identification of weak signals, particularly in the presence of negative signal-to-noise ratios, poses a significant challenge. This challenge is further heightened when signals are acquired through fiber-optic hydrophones, as these signals often lack physical significance and resist clear systematic modeling. Conventional processing methods, e.g., low-pass filter (LPF), require a thorough understanding of the effective signal bandwidth for noise reduction, and may introduce undesirable time lags. This paper introduces an innovative feedback control method with dual Kalman filters for the demodulation of phase signals with noises in fiber-optic hydrophones. A mathematical model of the closed-loop system is established to guide the design of the feedback control, aiming to achieve a balance with the input phase signal. The dual Kalman filters are instrumental in mitigating the effects of signal noise, observation noise, and control execution noise, thereby enabling precise estimation for the input phase signals. The effectiveness of this feedback control method is demonstrated through examples, showcasing the restoration of low-noise signals, negative signal-to-noise ratio signals, and multi-frequency signals. This research contributes to the technical advancement of high-performance devices, including fiber-optic hydrophones and phase-locked amplifiers.

Key words: feedback control method, fiber-optic hydrophone, acoustic signal detection, phase signal

2010 MSC Number:

74K10

Zhiqiang LIU, Lei XIA, Qiangfeng LYU, Bin WU, Ronghua HUAN, Zhilong HUANG. A feedback control method for phase signal demodulation in fiber-optic hydrophones. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 515-528.

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References 23

1	BAKHTAWAR, B., and ZAYED, T. Review of water leak detection and localization methods through hydrophone technology. Journal of Pipeline Systems Engineering and Practice, 12 (4), 03121002 (2021)
2	HARRIS, G. R., HOWARD, S. M., HURRELL, A. M., LEWIN, P. A., SCHAFER, M. E., WEAR, K. A., WILKENS, V., and ZEQIRI, B. Hydrophone measurements for biomedical ultrasound applications: a review. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 70 (2), 85- 100 (2023)
3	YANG, D. F., YANG, L., CHEN, X. Y., QU, M. J., ZHU, K., DING, H., LI, D. S., BAI, Y., LING, J., XU, J. H., and XIE, J. A piezoelectric AlN MEMS hydrophone with high sensitivity and low noise density. Sensors and Actuators A: Physical, 318, 112493 (2021)
4	HU, J. F. and LI, D. M. Comparative study of phase demodulation approaches based on PGC and heterodyne. Proceedings of 2016 5th International Conference on Computer Science and Network Technology (ICCSNT), IEEE, Changchun (2006)
5	TOIDA, M., KONDO, M., ICHIMURA, T., and INABA, H. Two-dimensional coherent detection imaging in multiple scattering media based on the directional resolution capability of the optical heterodyne method. Applied Physics B, 52 (6), 391- 394 (1991)
6	SHEEM, S. K., GIALLORENZI, T. G., and KOO, K. Optical techniques to solve the signal fading problem in fiber interferometers. Applied Optics, 21 (4), 689- 693 (1982)
7	DANDRIDGE, A., TVETEN, A., and GIALLORENZI, T. Homodyne demodulation scheme for fiber optic sensors using phase generated carrier. IEEE Journal of Quantum Electronics, 18 (10), 1647- 1653 (1982)
8	LIU, Y., WANG, L. W., TIAN, C. D., ZHANG, M., and LIAO, Y. B. Analysis and optimization of the PGC method in all digital demodulation systems. Journal of Lightwave Technology, 26 (18), 3225- 3233 (2008)
9	ROMASHKO, R. V., BEZRUK, M. N., ERMOLAEV, S. A., ZAVESTOVSKAYA, I. N., and KULCHIN, Y. N. Laser adaptive fiber-optic hydrophone. Bulletin of the Lebedev Physics Institute, 42 (7), 201- 205 (2015)
10	CHANDRA, V., TIWARI, U., and DAS, B. Elimination of light intensity noise using dual-channel scheme for fiber MZI-based FBG sensor interrogation. IEEE Sensors Journal, 16 (8), 2431- 2436 (2016)
11	CAWLEY, R., and HSU, G. H. Local-geometric-projection method for noise reduction in chaotic maps and flows. Physical Review A, 46 (6), 3057- 3082 (1992)
12	CAI, Y. F., YU, Z. H., MO, D. L., LIU, R., CHEN, A., DAI, B., and LI, Y. T. Noise reduction with adaptive filtering scheme on interferometric fiber optic hydrophone. Optik, 211, 164648 (2020)
13	YU, Z. H., CAI, Y. F., and MO, D. L. Comparative study on noise reduction effect of fiber optic hydrophone based on LMS and NLMS algorithm. Sensors, 20 (1), 301 (2020)
14	HUANG, N. E., SHEN, Z., LONG, S. R., WU, M. C., SHIH, H. H., ZHENG, Q. N., YEN, N. C., TUNG, C. C., and LIU, H. H. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454 (1971), 903- 995 (1998)
15	DRAGOMIRETSKIY, K., and ZOSSO, D. Variational mode decomposition. IEEE Transactions on Signal Processing, 62 (3), 531- 544 (2014)
16	LI, Y. X., and WANG, L. A novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise, minimum mean square variance criterion and least mean square adaptive filter. Defence Technology, 16 (3), 543- 554 (2020)
17	HU, H. P., ZHANG, L. M., YAN, H. C., BAI, Y. P., and WANG, P. Denoising and baseline drift removal method of MEMS hydrophone signal based on VMD and wavelet threshold processing. IEEE Access, 7, 59913- 59922 (2019)
18	CHEN, W. G., LI, J. N., WANG, Q., and HAN, K. Fault feature extraction and diagnosis of rolling bearings based on wavelet thresholding denoising with CEEMDAN energy entropy and PSO-LSSVM. Measurement, 172, 108901 (2021)
19	LI, G. H., GUAN, Q. R., and YANG, H. Noise reduction method of underwater acoustic signals based on CEEMDAN, effort-to-compress complexity, refined compositemultiscale dispersion entropy andwavelet threshold denoising. Entropy, 21 (1), 11 (2019)
20	ZHANG, S. Q., LIU, H. T., HU, M. F., JIANG, A. Q., ZHANG, L. G., XU, F. J., and HAO, G. P. An adaptive CEEMDAN thresholding denoising method optimized by nonlocal means algorithm. IEEE Transactions on Instrumentation and Measurement, 69 (9), 6891- 6903 (2020)
21	MA, J. H., WANG, Z. Q., and CHEN, Y. S. Prediction techniques of chaotic time series and its applications at low noise level. Applied Mathematics and Mechanics (English Edition), 27 (1), 7- 14 (2006) doi: 10.1007/s10483-006-0102-1
22	KALMAN, , R., E.. A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82 (1), 35- 45 (1960)
23	ZHANG, Y., DU, L., ZHANG, W. W., and DENG, Z. C. Research on data assimilation strategy of turbulent separated flow over airfoil. Applied Mathematics and Mechanics (English Edition), 43 (4), 571- 586 (2022) doi: 10.1007/s10483-022-2827-7

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