[1] A. Rai, S.H. Upadhyay, A review on signal processing techniques utilized in the fault diagnosis of rolling element bearings, Tribology International, 2016, 96: 289-306.
[2] H. Hasheminasab, S. H. Zolfani, M. Kharrazi, D. Streimikiene, Combination of sustainability and circular economy to develop a cleaner building industry, Energy and Buildings, 2022, 258: 111838.
[3] G. Beier, M. Matthess, T. Guan, D. I. de O. P. Grudzien, Impact of Industry 4.0 on corporate environmental sustainability: Comparing practitioners’ perceptions from China, Brazil and Germany, Sustainable Production and Consumption, 2022, 31: 287-300.
[4] P. Toktaş-Palut, Analyzing the effects of Industry 4.0 technologies and coordination on the sustainability of supply chains, Sustainable Production and Consumption, 2022, 30: 341-358.
[5] S. Jayashree, M. N. H. Reza, C. A. N. Malarvizhi, A. Gunasekaran, Md Abdur Rauf, Testing an adoption model for Industry 4.0 and sustainability: A Malaysian scenario, Sustainable Production and Consumption, 2022, 31: 313-330.
[6] A. Espín-Delgado, S. Rnnberg, S. S. Letha, Diagnosis of supraharmonics-related problems based on the effects on electrical equipment, Electric Power Systems Research, 2021, 195(4): 107179.
[7] T. N. Kruglova, Intelligent Diagnosis of the Electrical Equipment Technical Condition, Procedia Engineering, 2015, 129: 219-224.
[8] S. Gad, M. Laskawski, G. Sloń, Symptom Models of Diagnostic of Motor-Car Electrical Equipment, IFAC Proceedings Volumes, 2004, 37(22): 409-414.
[9] D. Zhou, M. Chi, Pulse-coupled neural network and its optimization for segmentation of electrical faults with infrared thermography, Applied Soft Computing, 2019, 77: 252-260.
[10] I. Ahmad, L. M. Hee, A. M. Abdelrhman, S. A. Imam, M.S. Leong, Scopes, challenges and approaches of energy harvesting for wireless sensor nodes in machine condition monitoring systems: A review, Measurement, 2021, 183: 109856.
[11] J. Zhong, D. Wang, C. Li, A nonparametric health index and its statistical threshold for machine condition monitoring, Measurement, 2021, 167: 108290.
[12] F. Assad, S. Konstantinov, H. Nureldin, Maintenance and digital health control in smart manufacturing based on condition monitoring, Procedia CIRP, 2021, 97: 142-147.
[13] L. Song, H. Wang, P. Chen. Vibration-based intelligent fault diagnosis for roller bearings in lowspeed rotating machinery. IEEE Trans. Instrum. Meas. 2018, 67: 1887-1899.
[14] B. Hou, D. Wang, Y. Chen, H. Wang, Z. Peng, K. Tsui, Interpretable online updated weights: Optimized square envelope spectrum for machine condition monitoring and fault diagnosis, Mechanical Systems and Signal Processing, 2022, 169: 108779.
[15] X. Yu, Z. Feng, M. Liang, Analytical vibration signal model and signature analysis in resonance region for planetary gearbox fault diagnosis, Journal of Sound and Vibration, 2021, 498: 115962.
[16] Y. Cheng, N. Zhou, W. Zhang, Application of an improved minimum entropy deconvolution method for railway rolling element bearing fault diagnosis, Journal of sound and vibration, 2018, 425: 53-69.
[17] B. Zhang, Y. Miao, J. Lin, Adaptive maximum second-order cyclostationarity blind deconvolution and its application for locomotive bearing fault diagnosis, Mechanical Systems and Signal Processing, 2021, 158: 107736.
[18] F. Xiao F, J. Lin, High-speed rail and high-tech industry evolution: Empirical evidence from China, " Transportation Research Interdisciplinary Perspectives, 2021, 10: 100358.
[19] S.K. Nithin, K. Hemanth, V. Shamanth, A review on combustion and vibration condition monitoring of IC engine, Materials Today: Proceedings, 2021, 45: 65-70.
[20] M. Li, T. Wang, F. Chu, Component matching chirplet transform via frequency-dependent chirp rate for wind turbine planetary gearbox fault diagnostics under variable speed condition, Mechanical Systems and Signal Processing, 2021, 161: 107997.
[21] D. Wang, Y. Chen, C. Shen, J. Zhong, Z. Peng, C. Li, Fully interpretable neural network for locating resonance frequency bands for machine condition monitoring, Mechanical Systems and Signal Processing, 2022, 168: 108673.
[22] J. Zapoměl, P. Ferfecki, A new concept of a hydrodynamic bearing lubricated by composite magnetic fluid for controlling the bearing load capacity, Mechanical Systems and Signal Processing, 2022, 168: 108678.
[23] D. Wang, K. Tsui, Theoretical investigation of the upper and lower bounds of a generalized dimensionless bearing health indicator, Mechanical systems and signal processing, 2018, 98: 890- 901.
[24] L. Cui, J. Huang, F. Zhang. Quantitative and localization diagnosis of a defective ball bearing based on vertical-horizontal synchronization signal analysis, IEEE Trans. Ind. Electron., 2017, 64(11): 8695-8705.
[25] C. Peeters, J. Antoni, J. Helsen, Blind filters based on envelope spectrum sparsity indicators for 103 bearing and gear vibration-based condition monitoring, Mechanical Systems and Signal Processing, 2020, 138: 106556.
[26] S.R. Qin, Y.M. Zhong. Research on the unified mathematical model for FT, STFT and WT and its applications. Mechanical Systems and Signal Processing, 2004, 18: 1335-1347.
[27] W. Zeng, H. Wang. Guiyun Tian, Application of laser ultrasound imaging technology in the frequency domain based on Wigner-Ville algorithm for detecting defect. Optics & Laser Technology, 2015, 74: 72-78.
[28] R. Yan, R. Gao, X. Chen. Wavelets for fault diagnosis of rotary machines: A review with applications. Signal Processing, 2014, 96: 1-15.
[29] N. Huang, Z. Shen, S. Long. The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis. Proc. Roy. Soc. London, Ser. A., 1998, 454: 903- 995.
[30] H. Tang, Z. Liao, P. Chen, A Robust Deep Learning Network for Low-speed Machinery Fault Diagnosis based on Multi-kernel and RPCA, IEEE-ASME Trans. Mech., DOI: 10.1109/TMECH.2021.3084956.
[31] H. Li, Y. Hu, F. Li. Succinct and fast empirical mode decomposition., Mechanical Systems and Signal Processing, 2017, 85: 879-895.
[32] G. Chen, and Z. Wang, A signal decomposition theorem with Hilbert transform and its application to narrowband time series with closely spaced frequency components, Mechanical Systems and Signal Processing, 2012, 28: 258-279.
[33] K. Zhang, Y. Xu, and P. Chen, “Feature extraction by enhanced analytical mode decomposition based on order statistics filter,” Measurement, vol. 173, no.15, pp. 108620, Mar. 2021.
[34] K. Zhang, H. Tang, P. Chen, Y. Xu, A. Hu, A method for extracting fault features using variable multi-level spectral segmentation framework and harmonic correlation index, IEEE Transactions on Instrumentation and Measurement, 2022, 71: 3505109
[35] Z. Wang, W. Ren, and J. Liu, A synchrosqueezed wavelet transform enhanced by extended analytical mode decomposition method for dynamic signal reconstruction, J. Sound Vib., 2013, 332(22): 6016-6028.
[36] H. Qu, T. Li, and G. Chen, Multiple analytical mode decompositions (M-AMD) for high accuracy parameter identification of nonlinear oscillators from free vibration, Mech. Syst. Sig. Pr., 2019, 117(15): 483-497.
[37] X. Wu, M. Tian, and Y. Zhu, A time frequency domain digital implementation of flickermeter using analytical mode decomposition,” International Transactions on Electrical Energy Systems, 2019, DOI: 10.1002/2050-7038.12016.
[38] Z. Wang, B. Ge, W. Ren, and J. Hou, Discrete analytical mode decomposition with automatic bisecting frequency selection for structural dynamic response analysis and modal identification, J. Sound Vib., 2020, 484: 115520.
[39] J. Gilles, Empirical wavelet transform, IEEE Trans. Signal Process., 2013, 61: 3999-4010.
[40] K. Zhang, L. Shi, Y. Hu, P. Chen, Y. Xu, Variable spectral segmentation empirical wavelet transform for noisy signal processing, Digital Signal Processing, 2021, 117: 103151.
[41] K. Zhang, C. Ma, Y. Xu, P. Chen, J. Du, Feature extraction method based on adaptive and concise empirical wavelet transform and its applications in bearing fault diagnosis, Measurement, 2021, 172: 108976.
[42] K. Zhang, P. Chen, M. Yang, L. Song, Y. Xu, The Harmogram: A periodic impulses detection method and its application in bearing fault diagnosis, Mechanical Systems and Signal Processing, 2022, 165: 108374.
[43] B. Premjith, M. Neethu, P. Prabaharan, K. Soman, Audio data Authentication with PMU data and EWT, Procedia Technology, 2015, 21: 596-603.
[44] Y. Jiang, H. Zhu, Z. Li, A new compound faults detection method for rolling bearings based on empirical wavelet transform and chaotic oscillator, Chaos Solitons Fractals, 2016, 89: 8-19.
[45] Maya P., S. Vidyashree, Roopasree K., K.P.Somanc, Discrimination of internal fault current and inrush current in a power transformer using empirical wavelet transform, Procedia Technology, 2015, 21: 514-519.
[46] W. Chen, H. Song, Automatic noise attenuation based on clustering and empirical wavelet transform, Journal of Applied Geophysics, 2018, 159: 649-665.
[47] T. Prabhakar, P.Geetha, Two-dimensional empirical wavelet transform based supervised hyperspectral image classification, ISPRS Journal of Photogrammetry and Remote Sensing, 2017, 133: 37-45.
[48] T. Liu, J. Li, X. Cai, S. Yan, A time-frequency analysis algorithm for ultrasonic waves generating from a debonding defect by using empirical wavelet transform, Applied Acoustics, 2018, 131: 16- 27.
[49] J. Chen, J. Pan, Z. Li, Generator bearing fault diagnosis for wind turbine via empirical wavelet transform using measured vibration signals, Renew. Energy, 2015, 89: 80-92. 104
[50] W. Deng, S. Zhang, H. Zhao, X. Yang, A novel fault diagnosis method based on integrating empirical wavelet transform and fuzzy entropy for motor bearing, IEEE Access, 2018, 6: 35042- 35056.
[51] Y. Hu, X. Tu, F. Li, An adaptive and tacholess order analysis method based on enhanced empirical wavelet transform for fault detection of bearings with varying speeds, J. Sound Vib., 2017, 409: 241-255.
[52] D. Wang, Y. Zhao, C. Yi, Sparsity guided empirical wavelet transform for fault diagnosis of rolling element bearings, Mech. Syst. Sig. Process., 2017, 101: 292-308.
[53] M. Kedadouche, M.Thomas, A. Tahan, A comparative study between empirical wavelet transforms and empirical mode decomposition methods: Application to bearing defect diagnosis, Mech. Syst. Sig. Process., 2016, 81: 88–107.
[54] Y. Xu, K. Zhang, C. Ma, Z. Sheng, H. Shen. An Adaptive spectrum segmentation method to optimize empirical wavelet transform for rolling bearings fault diagnosis, IEEE Access, 2019, 7: 30437-30456.
[55] J. Gilles, K. Heal, A parameterless scale-space approach to find meaningful modes in histograms - Application to image and spectrum segmentation, Int. J. Wavelets Multire solution Inf. Process., 2014, 12(6): 1-17.
[56] Y. Song, S. Zeng, J. Ma, A fault diagnosis method for roller bearing based on empirical wavelet transform decomposition with adaptive empirical mode segmentation, Measurement, 2018, 117: 266-276.
[57] J. Zheng, H. Pan, S. Yang, Adaptive parameterless empirical wavelet transform based timefrequency analysis method and its application to rotor rubbing fault diagnosis, Signal Process., 2017, 130: 305-314.
[58] J. Pan, J. Chen, Y. Zi, Mono-component feature extraction for mechanical fault diagnosis using modified empirical wavelet transform via data-driven adaptive Fourier spectrum segment, Mech. Syst. Sig. Process., 2015, 72: 160-183.
[59] J. Amezquita-Sanchez, H. Adeli, A new music-empirical wavelet transform methodology for time–frequency analysis of noisy nonlinear and non-stationary signals, Digit. Signal Process, 2015, 45: 55-68.
[60] Z. Yan, A. Miyamoto, Z. W. Jiang. Frequency slice wavelet transform for transient vibration response analysis, Mech. Syst. Signal Process., 2009, 23(5): 1474-1489
[61] Z. Yan, A. Miyamoto, Z. W. Jiang. An overall theoretical description of frequency slice wavelet transform, Mech. Syst. Signal Process., 2010, 24(2): 491-507
[62] K. Zhang, Y. Xu, Z. Liao, L. Song, and P. Chen, A novel Fast Entrogram and its applications in rolling bearing fault diagnosis, Mechanical Systems and Signal Processing, 2021, 154: 107582.
[63] X. Liu, Z. W. Jiang, Z. Yan. Improvement of accuracy in damage localization using frequency slice wavelet transform, Shock & Vibration, 2015, 19(4): 585-596
[64] C. Duan, P. Gao, X. Xu, Q. Gao. A ball defect diagnosis method using time-frequency kurtosis spectrum, Journal of mechanical engineering, 2015, 51(15): 78-83
[65] T. Guo, X. Fang, Q. M. Xie, Z. H. Yan, L. Fan. Application of FSWT in accurate extraction of time-frequency features for blasting vibration signals, Journal of Vibration and Shock, 2013, 32(22)
[66] Z. Yan, A. Miyamoto, Z. W. Jiang. Frequency slice algorithm for modal signal separation and damping identification. Computers & Structures., 2011, 89(1): 14-26.
[67] R. Dwyer, Use of the kurtosis statistic in the frequency domain as an aid in detecting random signals. IEEE Journal of Oceanic Engineering, 1984, 9(2):85-92.
[68] C. Ottonello, S. Pagnan, Modified frequency domain kurtosis for signal processing, Electronics Letters, 2002, 30(14):1117-1118.
[69] G.L. McDonald, Q. Zhao, M.J. Zuo, Maximum correlated Kurtosis deconvolution and application on gear tooth chip fault detection, Mechanical Systems and Signal Processing, 2012, 33: 237-255.
[70] V. Capdevielle, C. Serviere, and J. L. Lacoume. Blind separation of wide-band sources: Application to rotating machine signals. European Signal Processing Conference. 1996. Eusipco 1996. IEEE, 2015, 1-4.
[71] P. Borghesani, P. Pennacchi, S. Chatterton, The relationship between kurtosis-and envelope-based indexes for the diagnostic of rolling element bearings, Mechanical Systems and Signal Processing, 2014, 43(1-2): 25-43.
[72] D. He, X. Wang, S. L. Identification of multiple faults in rotating machinery based on minimum entropy deconvolution combined with spectral kurtosis. Mechanical Systems & Signal Processing, 2016, 81:235-249.
[73] N. Sawalhi, R.B. Randall, H. Endo. The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis. Mechanical Systems and Signal Processing, 2007, 21(6):2616-2633.
[74] J. Chen, Y. Zi, Z. He. Improved spectral kurtosis with adaptive redundant multiwavelet packet and its applications for rotating machinery fault detection. Measurement Science and Technology, 105 2012, 23(4):045608.
[75] J. Xiang, Y. Zhong, H. Gao. Rolling element bearing fault detection using PPCA and spectral kurtosi. Measurement, 2015, 75:180-191.
[76] F. Cong, J. Chen, G. Dong. Spectral kurtosis based on AR model for fault diagnosis and condition monitoring of rolling bearing. Journal of Mechanical Science & Technology, 2012, 26(2): 301-306.
[77] S. Arivazhagan, M. Rosaline, Optimal Gabor sub-band-based spectral kurtosis and Teager Kaiser energy for maritime target detection in SAR images, Signal, Image and Video Processing, 2022: 1- 9.
[78] T. Barszcz, R. B. Randall. Application of spectral kurtosis for detection of a tooth crack in the planetary gear of a wind turbine. Mech. Syst. Signal Process., 2009 23: 1352-1365.
[79] H. Wang, Z. Lai, D. Wu, Investigation of the friction-induced vibration of a novel four-way reversing valve using spectral kurtosis and number of peaks spectrum, Mechanical Systems and Signal Processing, 2022, 166: 108425.
[80] J. Antoni, R.B. Randall. The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines[J]. Mech. Syst. Signal Process., 2006, 20(2): 308-331.
[81] J. Antoni. The spectral kurtosis: a useful tool for characterising non-stationary signals[J]. Mech. Syst. Signal Process., 2006, 20(2): 282-307.
[82] J. Antoni. Fast computation of the kurtogram for the detection of transient faults[J]. Mech. Syst. Signal Process., 2007, 21(1): 108-124.
[83] T. Wang, F. Chu, Z. Feng, Meshing frequency modulation (MFM) index-based kurtogram for planet bearing fault detection, Journal of Sound and Vibration, 2018, 432: 437-453.
[84] Y. Zhang, R. B. Randall. Rolling element bearing fault diagnosis based on the combination of genetic algorithms and fast kurtogram. Mech. Syst. Signal Process., 2009, 23(5):1509-1517.
[85] Y. Wang, Z. He, Y. Zi. Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform[J]. Mech. Syst. Signal Process., 2010, 24(1): 119-137.
[86] Tse Peter W., D. Wang. The design of a new sparsogram for fast bearing fault diagnosis: Part 1 of the two related manuscripts that have a joint title as “Two automatic vibration-based fault diagnostic methods using the novel sparsity measurement - Parts 1 and 2”. Mech. Syst. Signal Process., 2013, 40(2): 499-519.
[87] Tse Peter W., D. Wang. The automatic selection of an optimal wavelet filter and its enhancement by the new sparsogram for bearing fault detection: Part 2 of the two related manuscripts that have a joint title as “Two automatic vibration-based fault diagnostic methods using the novel sparsity measurement-Parts 1 and 2”. Mech. Syst. Signal Process., 2013, 40(2): 520-544.
[88] A. Mauricio, W.A. Smith, R.B. Randall, Improved Envelope Spectrum via Feature Optimisationgram (IESFOgram): A novel tool for rolling element bearing diagnostics under non-stationary operating conditions, Mechanical Systems and Signal Processing, 2020, 144: 106891.
[89] J. Antoni. The infogram: Entropic evidence of the signature of repetitive transients, Mech. Syst. & Signal Process., 2016, 74: 73-94.
[90] Z. Feng, H. Ma, M. Zuo. Spectral negentropy based sidebands and demodulation analysis for planet bearing fault diagnosis. J. Sound Vib., 2017, 410(8): 124-150.
[91] T. Wang, Q. Han, F. Chu, Z. Feng. A new SKRgram based demodulation technique for planet bearing fault detection. J. Sound Vib., 2016, 385(22): 330-349.
[92] A. Moshrefzadeh, A. Fasana. The Autogram: An effective approach for selecting the optimal demodulation band in rolling element bearings diagnosis, Mech. Syst. & Signal Process., 2018, 105: 294-318.
[93] Y. Wang, M. Liang. An adaptive SK technique and its application for fault detection of rolling element bearings, Mech. Syst. & Signal Process., 2011, 25(5):1750-1764.
[94] T. Barszcz, A. Jabłoński. A novel method for the optimal band selection for vibration signal demodulation and comparison with the Kurtogram, Mech. Syst. & Signal Process., 2011, 25(1):431-451.
[95] H. Liu, W. Huang, S. Wang. Adaptive spectral kurtosis filtering based on Morlet wavelet and its application for signal transients detection, Signal Processing, 2014, 96(5):118-124.
[96] Y. Xu, W. Tian, K. Zhang. Application of an enhanced fast kurtogram based on empirical wavelet transform for bearing fault diagnosis, Meas. Sci. Technol., 2019, 30: 035001.
[97] Y. Xu, K. Zhang, C. Ma. Adaptive kurtogram and its applications in rolling bearing fault diagnosis. Mech. Syst. Signal Process., 2019, 130: 87-107.
[98] J. Feng, Lei Y, Shan H. Early fault diagnosis of bearings using an improved spectral kurtosis by maximum correlated kurtosis deconvolution[J]. Sensors, 2015, 15(11): 29363-29377.
[99] Y. Wang, H. Xiang. Spectral kurtosis for fault detection, diagnosis and prognostics of rotating machines: A review with applications[J]. Mech. Syst. & Signal Process., 2016, s 66-67:679-698.
[100] Adam Glowacz, Acoustic based fault diagnosis of three-phase induction motor, Applied Acoustics, 2018, 137: 82-89.
[101] Adam Glowacz, Zygfryd Glowacz, Diagnosis of stator faults of the single-phase induction motor using acoustic signals, Applied Acoustics, 2017, 117: 20-27.
[102] W. Lu, W. Jiang, H. Wu, J. Hou, A fault diagnosis scheme of rolling element bearing based on near-field acoustic holography and gray level co-occurrence matrix, Journal of Sound and Vibration, 2012, 331(15): 3663-3674.
[103] A. Kumar, C.P. Gandhi, Y. Zhou, R. Kumar, J. Xiang, Variational mode decomposition based symmetric single valued neutrosophic cross entropy measure for the identification of bearing defects in a centrifugal pump, Applied Acoustics, 2020, 165: 107294.
[104] Y. Zhao, J. Zhang, Q. Zhao, Online Monitoring of Low-Frequency Oscillation Based on the Improved Analytical Modal Decomposition Method, IEEE Access, 2020, 8: 215256-215266.
[105] L. Rikam, L. Bitjoka, A. Nketsa, Quaternion Fourier Transform spectral analysis of electrical currents for bearing faults detection and diagnosis, Mechanical Systems and Signal Processing, 2022, 168: 108656.
[106] R. Bendoumia, M. Djendi, Acoustic noise reduction by new two-channel proportionate forward symmetric adaptive decorrelating algorithms in sparse systems, Applied Acoustics, 2018, 137: 69-81.
[107] O. Jeon, H. Ryu, H. Kim, S. Wang, Vibration localization prediction and optimal exciter placement for improving the sound field optimization performance of multi-channel distributed mode loudspeakers, J. Sound Vib., 2020, 481: 115424.
[108] C. Eric, Hamdan, F. Fazi, A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning, J. Sound Vib., 2021, 490: 115743.
[109] E. Salah, K. Amine, K. Redouane, K. Fares, A Fourier transform based audio watermarking algorithm, Applied Acoustics, 2021, 172: 107652.
[110] Paulo V.R. Martins, O. Silva, A. Lenzi, Insertion loss analysis of slender beams with periodic curvatures using quaternion-based parametrization, FE method and wave propagation approach, Applied Acoustics, 2019, 455: 82-95.
[111] C. Yi, Y. Lv, Z. Dang, H. Xiao, X. Yu, Quaternion singular spectrum analysis using convex optimization and its application to fault diagnosis of rolling bearing, Measurement, 2017, 103: 321-332.
[112] Y. Ma, J. Cheng, N. Hu, Z. Cheng, Y. Yang, Symplectic quaternion singular mode decomposition with application in gear fault diagnosis, Mechanism and Machine Theory, 2021, 160: 104266.
[113] K. Zhang, Y. Deng, P. Chen, C. Ma, Y. Xu, Quaternion empirical wavelet transform and its applications in rolling bearing fault diagnosis, Measurement, 2022, 195: 111179.
[114] C. Haley, M. Anitescu, Optimal bandwidth for multitaper spectrum estimation, IEEE Signal Processing Letters, 2017, 24(11): 1696-1700.
[115] X. Wang, J. Xiong, L. Geng, J. Zheng, S. Zhu, Parameter identification of doubly-fed induction generator by the Levenberg-Marquardt-Fletcher method, 2013 IEEE Power & Energy Society General Meeting, DOI: 10.1109/PESMG.2013.6672535.
[116] G. Moody, R. Mark, The impact of the MIT-BIH Arrhythmia Database, IEEE Eng in Med and Biol, 2001, 20(3): 45-50.
[117] A. Goldberger, L. Amaral, L. Glass, J. Hausdorff, P. Ivanov, ... & H. Stanley, PhysioBank, PhysioToolkit, and PhysioNet: Components of a new research resource for complex physiologic signals, Circulation, 2000, 101(23): e215–e220.
[118] W.R. Hamilton, II. On quaternions; or on a new system of imaginaries in algebra, Lond. Edin. Dublin Philos. Mag. J. Sci., 1844, 25(163): 10–13.
[119] F. Ortolani, D. Comminiello, M. Scarpiniti, Frequency domain quaternion adaptive filters: Algorithms and convergence performance, Signal Processing., 2017, 136: 69–80.
[120] T. Ell, N. Le Bihan, S. Sangwine, Quaternion Fourier Transforms for Signal and Image Processing, Wiley, London, UK. 2014.
[121] S.J. Sangwine, The Discrete Quaternion Fourier Transform, 1997 Sixth International Conference on Image Processing and Its Applications, 1997, 2: 790-793.
[122] T.A. Ell, S.J. Sangwine, Decomposition of 2D hypercomplex Fourier transforms into pairs of complex Fourier transforms, in: Proceedings of the 10th European Signal Processing Conference, 2000.