[1] [1] SHANG J H, ZHAO Sh G, HE Y, et al. Experimental study on minimum resolvable velocity for heterodyne laser Doppler vibrometry［J］. Chinese Optics Letters, 2011, 9(8): 31-33.

[2] [2] JACKSON D A, GARCIA-SOUTO J A, POSADA-ROMAN J E . Ca-libration of laser Doppler vibrometer exploiting Bessel functions of the first kind［J］. Electronics Letters, 2015, 51(14): 1100-1102.

[3] [3] NOZATO H, KOKUYAMA W, SHIMODA T, et al. Calibration of laser Doppler vibrometer and laser interferometers in high-frequency regions using electro-optical modulator［J］. Precision Engineering, 2021, 70: 135-144.

[4] [4] WANG K X, WU J F, SHU F F. Laser heterodyne measurement of frequency response and amplitude of vibrating surface of piezoelectric ceramics［J］. Piezoelectrics and Acoustooptics, 2021, 43(5): 680-683(in Chinese).

[5] [5] HE G T, WANG X Zh, ZENG A J, et al. Real-time displacement measurement with large range and high accuracy using sinusoidal phase modulating laser diode interferometer［J］. Chinese Optics Le-tters, 2007, 5(4): 211-214.

[6] [6] YANG M, GAI Ch G, WANG Y, et al. Review of acquisition and demodulation method of heterodyne interferometer signal［J］. Laser Journal, 2018, 39(1): 20-24(in Chinese).

[7] [7] CHEN H K. Research on signal processing and hardware implementation of laser Doppler micro vibration［D］. Changchun: University of Chinese Academy of Sciences (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences), 2020: 7-36(in Chinese).

[8] [8] BAUER M, RITTER F, SIEGMUND G. High-precision laser vibro-meters based on digital Doppler signal processing［J］. Proceedings of the SPIE, 2002, 4827: 50-61.

[9] [9] ZHANG J B, LIANG F, LIU N A. FPGA implement of a modified CORDIC algorithm［J］. Microelectronics & Computer, 2010, 27(11): 181-184(in Chinese).

[10] [10] LIU L G, ZENG Y A, GHANG D D. The design and optimization of arctangent calculate circuit based on FPGA［J］. Microcomputer Information, 2007, 23(17): 203-204(in Chinese).

[11] [11] LIU X H, XU L, LIU H Y, et al. Realization of arctangent function based on improved CORDIC algorithm in FPGA［J］. Computer Technology and Development, 2013, 23(11): 103-107(in Chin-ese).

[12] [12] MARTENS V, HANS J. Invited article: Expanded and improved traceability of vibration measurements by laser interferometry［J］. Review of Scientific Instruments, 2013, 84(12): 121601.

[13] [13] WANG L W, ZHANG M, MAO X H, et al. The arctangent a-pproach of digital PGC demodulation for optic interferometric sensors［J］. Proceedings of the SPIE, 2006, 6292: 62921E.

[14] [14] WANG G Q, XU T W, FANG L. PGC demodulation technique with high stability and low harmonic distortion［J］. IEEE Photonics Technology Letters, 2012, 24(23): 2093-2096.

[15] [15] LIANG Y R, DUAN H Z, YEH H C, et al. Fundamental limits on the digital phase measurement method based on cross-correlation analysis［J］. Review of Scientific Instruments, 2012, 83(9): 095110.

[16] [16] KOWARSCH R, TE R, RMEBR C. Laser-Doppler vibrometer microscope with variable heterodyne carrier［J］. Journal of Physics Conference Series, 2018, 1149(1): 12016.

[17] [17] GUTIERREZ R, VALLS J. Implementation on FPGA of a LUT-based atan(Y/X) operator suitable for synchronization algorithms［C］// 2007 International Conference on Field Programmable Logic and Applications. Amsterdam, Netherlands: IEEE, 2007: 472-475.

[18] [18] BAO Y P. One improved CORDIC algorithm of calculating 32 bit floating the arctangent functions with FPGA［J］. Electronics and Packaging, 2015, 15(3): 22-25(in Chinese).

[19] [19] LUO Y B, ZHANG H Sh, ZHANG B, et al. FPGA implementation of a CORDIC algorithm［J］. Computer Simulation, 2009, 26(9): 305-307(in Chinese).

[20] [20] TRIBPLET J M, MEMBER S. A new phase unwrapping algorithm［J］. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1977, 25(2): 170-177.

[21] [21] REN Y X, DANG A H, LIU L, et al. Heterodyne efficiency of a coherent free-space optical communication model through atmospheric turbulence［J］. Applied Optics, 2012, 51(30): 7246-7254.

[22] [22] CHOI H, PARK K, LA J. Novel phase measurement technique of the heterodyne laser interferometer［J］. Review of Scientific Instruments, 2005, 76(9): 93105.