메뉴 건너뛰기




Volumn 23, Issue 3, 2010, Pages 426-434

Split quaternion nonlinear adaptive filtering

Author keywords

Cauchy Riemann Fueter equation; Nonlinear adaptive filtering; Quaternion Multilayer Perceptron; Quaternion valued adaptive filters; Wind modelling

Indexed keywords

COMMUTATIVITY; MULTI LAYER PERCEPTRON; NONLINEAR ADAPTIVE FILTERING; NONLINEAR FINITE IMPULSE RESPONSE; QUATERNION ALGEBRA; QUATERNION MULTILAYER PERCEPTRON; REAL-WORLD; RIGOROUS ANALYSIS;

EID: 76849114869     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2009.10.006     Document Type: Article
Times cited : (36)

References (27)
  • 3
    • 44349178047 scopus 로고    scopus 로고
    • Polarized signal classification by complex and quaternionic multi-layer perceptrons
    • Buchholz S., and Bihan N.L. Polarized signal classification by complex and quaternionic multi-layer perceptrons. International Journal of Neural Systems 18 2 (2008) 75-85
    • (2008) International Journal of Neural Systems , vol.18 , Issue.2 , pp. 75-85
    • Buchholz, S.1    Bihan, N.L.2
  • 4
    • 63449098959 scopus 로고    scopus 로고
    • The quaternion LMS algorithm for adaptive filtering of hypercomplex processes
    • Cheong-Took C., and Mandic D.P. The quaternion LMS algorithm for adaptive filtering of hypercomplex processes. IEEE Transactions on Signal Processing 57 4 (2009) 1316-1327
    • (2009) IEEE Transactions on Signal Processing , vol.57 , Issue.4 , pp. 1316-1327
    • Cheong-Took, C.1    Mandic, D.P.2
  • 5
    • 63449099023 scopus 로고    scopus 로고
    • Modeling head and hand orientation during motion using quaternions
    • Choe S.B., and Faraway J.J. Modeling head and hand orientation during motion using quaternions. Journal of Aerospace 113 (2004) 186-192
    • (2004) Journal of Aerospace , vol.113 , pp. 186-192
    • Choe, S.B.1    Faraway, J.J.2
  • 6
    • 0024861871 scopus 로고
    • Approximation by superpositions of a sigmoidal function
    • Cybenko G. Approximation by superpositions of a sigmoidal function. Mathematics Control of Signal, and Systems 2 (1989) 303-314
    • (1989) Mathematics Control of Signal, and Systems , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 7
  • 9
    • 0041833491 scopus 로고    scopus 로고
    • Recurrent neural networks with trainable amplitude of activation functions
    • Goh S.L., and Mandic D.P. Recurrent neural networks with trainable amplitude of activation functions. Neural Networks 16 8 (2003) 1095-1100
    • (2003) Neural Networks , vol.16 , Issue.8 , pp. 1095-1100
    • Goh, S.L.1    Mandic, D.P.2
  • 10
    • 0036698981 scopus 로고    scopus 로고
    • Nonlinear FIR adaptive filters with a gradient adaptive amplitude in the nonlinearity
    • Hanna A.I., and Mandic D.P. Nonlinear FIR adaptive filters with a gradient adaptive amplitude in the nonlinearity. IEEE Signal Processing Letters 9 8 (2002) 253-255
    • (2002) IEEE Signal Processing Letters , vol.9 , Issue.8 , pp. 253-255
    • Hanna, A.I.1    Mandic, D.P.2
  • 12
    • 0029252331 scopus 로고
    • Nonlinear adaptive prediction of nonstationary signals
    • Haykin S., and Li L. Nonlinear adaptive prediction of nonstationary signals. IEEE Transactions on Signal Processing 43 2 (1995) 526-535
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.2 , pp. 526-535
    • Haykin, S.1    Li, L.2
  • 13
    • 51149154600 scopus 로고
    • Vectors versus quaternions
    • Heaviside O. Vectors versus quaternions. Nature 47 (1893) 533-534
    • (1893) Nature , vol.47 , pp. 533-534
    • Heaviside, O.1
  • 15
    • 0038159963 scopus 로고    scopus 로고
    • Approximation by fully complex multilayer perceptrons
    • Kim T., and Adali T. Approximation by fully complex multilayer perceptrons. Neural Computation 15 7 (2003) 1641-1666
    • (2003) Neural Computation , vol.15 , Issue.7 , pp. 1641-1666
    • Kim, T.1    Adali, T.2
  • 17
    • 51149153103 scopus 로고
    • Vectors versus quaternions
    • MacFarlane A. Vectors versus quaternions. Nature 48 (1893) 75-76
    • (1893) Nature , vol.48 , pp. 75-76
    • MacFarlane, A.1
  • 18
    • 0000005113 scopus 로고    scopus 로고
    • Relating the slope of the activation function and the learning rate within a recurrent neural network
    • Mandic D.P., and Chambers J.A. Relating the slope of the activation function and the learning rate within a recurrent neural network. Neural Computation 11 5 (1999) 1069-1077
    • (1999) Neural Computation , vol.11 , Issue.5 , pp. 1069-1077
    • Mandic, D.P.1    Chambers, J.A.2
  • 22
    • 0027816545 scopus 로고
    • A back-propagation algorithm for neural networks based on 3D vector product
    • Nitta, T. (1993). A back-propagation algorithm for neural networks based on 3D vector product. In Proceedings of international joint conference on neural networks (pp. 589-592). Vol. 1
    • (1993) Proceedings of international joint conference on neural networks , vol.1 , pp. 589-592
    • Nitta, T.1
  • 27
    • 0035024581 scopus 로고    scopus 로고
    • Networks with trainable amplitude of activation functions
    • Trentin E. Networks with trainable amplitude of activation functions. Neural Networks 14 4-5 (2001) 471-493
    • (2001) Neural Networks , vol.14 , Issue.4-5 , pp. 471-493
    • Trentin, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.