1. bookVolumen 16 (2020): Heft 1 (January 2020)
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2255-9159
Erstveröffentlichung
31 Jan 2013
Erscheinungsweise
2 Hefte pro Jahr
Sprachen
Englisch
Uneingeschränkter Zugang

Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design

Online veröffentlicht: 13 Oct 2020
Volumen & Heft: Volumen 16 (2020) - Heft 1 (January 2020)
Seitenbereich: 30 - 36
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2255-9159
Erstveröffentlichung
31 Jan 2013
Erscheinungsweise
2 Hefte pro Jahr
Sprachen
Englisch

[1] W. R. Hamilton, “Elements of Quaternions,” New York, DC, USA: Chelsea Publishing Company, 1969.Search in Google Scholar

[2] H. D. Schutte and J. Wenzel, “Hypercomplex numbers in digital signal processing”, Proc. IEEE Singapore International Symposium on Circuits and Systems, pp. 1557–1560, 1990.Search in Google Scholar

[3] Z. Nikolova, G. Stoyanov, G. Iliev, and V. Poulkov, “Complex coefficient IIR digital filters,” Chapter 9 in Digital Filters, F. P. G. Márquez, Ed., InTechOpen, 2011, pp. 209–239. https://doi.org/10.5772/64810.5772/648Search in Google Scholar

[4] T. Bulow and G. Sommer, “Hypercomplex signals – a novel extension of the analytic signals to the multidimensional case”, IEEE Transaction on Signal Processing, vol. 49, no. 11, Nov. 2001, pp. 2844–2852. https://doi.org/10.1109/78.96043210.1109/78.960432Search in Google Scholar

[5] A. Khatabi, A. Tmiri, and A. Serhir, “Quaternion angular radial transform and properties transformation for color-based object recognition”, Pattern Recognition and Image Analysis, vol. 26, no. 4, 1 Oct. 2016, pp. 705–713. https://doi.org/10.1134/S105466181604006410.1134/S1054661816040064Search in Google Scholar

[6] V. G. Labunets, E. V. Labunets, K. Egazarian and J. Astola, “Hypercomplex moments application in invariant image recognition”, Proc. of International Conference on Image Processing (ICIP98), Chicago, USA, 1998, vol. 2, pp. 257–261.Search in Google Scholar

[7] W. K. Wong, G. C. Lee, C. K. Loo and R. Lock, “Quaternion based fuzzy neural network classifier for MPIK dataset’s view-invariant color face image recognition”, Informatica (Slovenia), vol. 37, no. 2, 2013, pp. 181–192.Search in Google Scholar

[8] C. Evans, S. J. Sangwine, and T. A. Ell, “Hypercomplex color-sensitive smoothing filters”, Proc. of International Conference of Image Processing, vol. 1, pp. 541–544, 2000.Search in Google Scholar

[9] F. Tao, and W. Qian, “Image hash authentication algorithm for orthogonal moments of fractional order chaotic scrambling coupling hyper-complex number”, Measurement, vol. 134, Feb. 2019, pp. 866–873.https://doi.org/10.1016/j.measurement.2018.11.07910.1016/j.measurement.2018.11.079Search in Google Scholar

[10] C. E. Moxey, S. J. Sangwine, and T. A. Ell, “Color-grayscale image registration using hypercomplex phase correlation”, Proc. of International Conference on Image Processing, vol. 2, pp. II-385–II-388, 22–25 Sept. 2002.Search in Google Scholar

[11] S. J. Sangwine and T. A. Ell, “Hypercomplex auto- and cross-correlation of color images”, Proceedings of IEEE International Conference on Image Processing (ICIP99), 24–28 Oct. 1999, Kobe, Japan, pp. 319–322.Search in Google Scholar

[12] S. J. Sangwine et al., “Color image filters based on hypercomplex convolution”, IEEE Proc. Vis. Image Signal Processing, vol. 147, no. 2, pp. 89–93, April 2000. https://doi.org/10.1049/ip-vis:2000021110.1049/ip-vis:20000211Search in Google Scholar

[13] L. Lu, X. Zhang, and X. Xu, “Hypercomplex extreme learning machine with its application in multispectral palmprint recognition”, PLoS ONE, vol. 14, no. 4, April 2019. https://doi.org/10.1371/journal.pone.020908310.1371/journal.pone.0209083Search in Google Scholar

[14] V. Dimitrov, T. Cooklev and B. Donevsky, “On the multiplication of reduced biquaternion and applications”. Information Processing Letters, vol. 43, no. 3, pp. 161–164, 1992. https://doi.org/10.1016/0020-0190(92)90009-K10.1016/0020-0190(92)90009-KSearch in Google Scholar

[15] H. Toyoshima, “Computationally Efficient implementation of hypercomplex digital filters”, IEICE Trans. Fundamentals, vol. E85-A, no. 8, pp. 1870–1876, August 2002.Search in Google Scholar

[16] K. Ueda and S.-I. Takahashi, “Strictly proper digital filters with hypercomplex coefficients”, Proc. ECCTD’93 European Conference on Circuit Theory & Design, pp. 739–744, Sept. 1993.Search in Google Scholar

[17] K. Ueda, K. Mazukami, and S.-I. Takahashi, “Realization of complex coefficient digital filters based on hypercomplex arithmetic”, Proc. European Signal Processing Conference (EUROSIPCO’94), pp. 363–366, Sept. 1994.Search in Google Scholar

[18] H. Osaco, K. Ueda, and S.-I. Takahashi, “Digital filter with eight elements hypercomplex coefficient”, Proc. of 12th European Conference on Circuit Theory & Design (ECCTD’95), ITU, Istanbul Technical University, Istanbul, Turkey, August 1995, pp. 659–662.Search in Google Scholar

[19] D. Alfsmann, and H. G. Göckler, “Hypercomplex Bark-scale filter bank design based on allpass-phase specifications”, European Signal Processing Conference, EUSIPCO 2012, Bucharest, Romania, 27–31 August 2012, pp. 519–523.Search in Google Scholar

[20] Y. N. Li, “Quaternion polar harmonic transforms for color images”, IEEE Signal Processing Letters, vol. 20, no. 8, 2013, 6530686, pp. 803–806. https://doi.org/10.1109/LSP.2013.226777510.1109/LSP.2013.2267775Search in Google Scholar

[21] B. Hu, Y. Zhou, L.-D. Li, J.-Y. Zhang and J.-S. Pan, “Polar linear canonical transform in quaternion domain”, Journal of Information Hiding and Multimedia Signal Processing, vol. 6, no. 6, 2015, pp. 1185–1193.Search in Google Scholar

[22] M. Kamata, and S.-I. Takahashi, “Orthogonal filter with hypercomplex coefficients, including cases of complex and real ones”, Proc. of ECCTD’97, Budapest, Hungary, Sept. 1997, pp. 594–598.Search in Google Scholar

[23] M. Okuda, M. Kamata, and S.-I. Takahashi, “Realization of an orthogonal filter with hypercomplex coefficients”, Electronics & Communications in Japan, Part III: Fundamental Electronic Science, vol. 85, no. 3, pp. 52–60, 2002. https://doi.org/10.1002/ecjc.107910.1002/ecjc.1079Search in Google Scholar

[24] E. Watanabe and A. Nishihara, “A synthesis of a class of complex digital filters based on circuitry transformations”. IEICE Trans., vol. E-74, no. 11, pp. 3622–3624, Nov. 1991.Search in Google Scholar

[25] G. Stoyanov, M. Kavamata, and Z. Valkova. “New First and Second-Order Very Low-Sensitivity Bandpass/Bandstop Complex Digital Filter Sections”, Proc. IEEE 1997 Region 10th Annual Conf., TENCON’97, Brisbane, Australia, vol. 1, pp. 61–64, Dec. 2–4, 1997.Search in Google Scholar

Empfohlene Artikel von Trend MD

Planen Sie Ihre Fernkonferenz mit Scienceendo