Chinese Optics Letters, Volume. 20, Issue 6, 063701(2022)
Revisiting the relationship between composite multiscale entropy and THz optical parameters with exterior product
[1] Y. Peng, C. Shi, X. Wu, Y. Zhu, S. Zhuang. Terahertz imaging and spectroscopy in cancer diagnostics: a technical review. BME Frontiers, 2020, 2547609(2020).
[2] P. Bawuah, J. A. Zeitler. Advances in terahertz time-domain spectroscopy of pharmaceutical solids: a review. TrAC Trends Anal. Chem., 139, 116272(2021).
[3] L. Afsah-Hejri, E. Akbari, A. Toudeshki, T. Homayouni, A. Alizadeh, R. Ehsani. Terahertz spectroscopy and imaging: a review on agricultural applications. Comput. Electron. Agric., 177, 105628(2020).
[4] L. Yang, T. Guo, X. Zhang, S. Cao, X. Ding. Toxic chemical compound detection by terahertz spectroscopy: a review. Rev. Anal. Chem., 37, 21(2018).
[5] S. Zhong. Progress in terahertz nondestructive testing: a review. Front. Mech. Eng., 14, 273(2019).
[6] S.-D. Wu, C.-W. Wu, S.-G. Lin, C.-C. Wang, K.-Y. Lee. Time series analysis using composite multiscale entropy. Entropy, 15, 1069(2013).
[7] R. Zhang, Y. He, K. Liu, L. Zhang, S. Zhang, E. P. MacPherson, Y. Zhao, C. Zhang. Composite multiscale entropy analysis of reflective terahertz signals for biological tissues. Opt. Express, 25, 23669(2017).
[8] H. Liu, K. Zhao, X. Liu, Z. Zhang, J. Qian, C. Zhang, M. Liang. Diagnosis of hepatocellular carcinoma based on a terahertz signal and VMD-CWSE. Biomed. Opt. Express, 11, 5045(2020).
[9] H. Liu, X. Liu, Z. Zhang, C. Zhang. Investigating the relationship between composite multiscale entropy and optical property of bovine serum albumin solutions using THz pulsed system. Opt. Lasers Eng., 137, 106374(2021).
[10] D. Hestenes, G. Sobczyk. Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics(1984).
[11] R. Wang, M. Shen, T. Wang, W. Cao. L1-norm minimization for multi-dimensional signals based on geometric algebra. Adv. Appl. Clifford Algebras, 29, 33(2019).
[12] Y. Li, W. Liu, X. Li, Q. Huang, X. Li. GA-SIFT: a new scale invariant 500 feature transform for multispectral image using geometric algebra. Inf. Sci., 281, 559(2014).
[13] B. Jancewicz. Multivectors and Clifford Algebra in Electrodynamics(1989).
[14] D. Hestenes. Clifford algebra and the interpretation of quantum mechanics. Clifford Algehras and Their Applications in Mathematical Physics, 321(1986).
[15] F. J. Chinea. A Clifford algebra approach to general relativity. Gen. Relat. Gravit., 21, 21(1989).
[16] A. Lasenby, C. Doran, S. Gull. Gravity, gauge theories and geometric algebra. Philos. Trans. R. Soc. A, 356, 487(1998).
[17] W. Xie, J. Li, J. Pei. THz-TDS signal analysis and substance identification. J. Phys, 276, 012227(2011).
[18] W. Xie, J. Li, J. Pei. An analysis of THz-TDS signals using geometric algebra. Proc. SPIE, 7277, 72770E(2008).
[19] W. Xie, J. Li, J. Pei. THz-TDS signal analysis and substance identification via the conformal split. Sci. China Inf. Sci., 55, 49(2012).
[20] S. Zhou, D. G. Valchev, A. Dinovitser, J. M. Chappell, A. Iqbal, B. W.-H. Ng, T. W. Kee, D. Abbott. Terahertz signal classification based on geometric algebra. IEEE Trans. THz Sci. Technol., 6, 793(2016).
[21] Y. Xu, W. Hong, Z. Gao, C. Zheng. Geometric algebra representation principle of multivariate data dimension-increasing transformation. J. Yanshan Univ., 32, 393(2008).
[22] Y. Xu, W. Hong, Z. Gao. Geometric algebra multi-vector representation method of pattern features. J. Yanshan Univ., 34, 119(2010).
[23] J. Li, W. Hong. Feature extraction for breast cancer data based on geometric algebra theory and feature selection using differential evolution. J. Biomed. Eng., 31, 1218(2014).
[24] J. Li, W. Xie, J. Pei. Similarity metrics and their applications of THz-TDS signals. Signal Process., 27, 1457(2011).
[25] B. Mishra, M. Kochery, P. Wilson, R. Wilcock. A novel signal processing coprocessor for n-dimensional geometric algebra applications. Circuit. Syst., 5, 274(2014).
[26] L. Zou, J. Lasenby, Q. Wan, Z. He, M. Lv. Geometric algebra in electronics and information engineering: an introduction. Int. J. Elec. Eng. Educ., 53, 252(2016).
[27] M. El Baz, Y. Hassouni. Deformed exterior algebra, quons and their coherent states. Int. J. Mod. Phys. A, 18, 3015(2003).
[28] A. Singleton. Superconformal quantum mechanics and the exterior algebra. J. High Energ. Phys., 2014, 131(2014).
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Haishun Liu, Zhenwei Zhang, Meiyan Liang, Cunlin Zhang. Revisiting the relationship between composite multiscale entropy and THz optical parameters with exterior product[J]. Chinese Optics Letters, 2022, 20(6): 063701
Category: Infrared and Terahertz Photonics
Received: Jan. 25, 2022
Accepted: Mar. 18, 2022
Posted: Mar. 21, 2022
Published Online: May. 6, 2022
The Author Email: Haishun Liu (phscdream@163.com), Zhenwei Zhang (zhangzw@cnu.edu.cn)