Abstract
The paper presents an adaptive Gaussian radial basis function neural network (RBFNN) for rapid estimation of evoked potential (EP). Usually, a recorded EP is severely contaminated by background ongoing activities of the brain. Many approaches have been reported to enhance the signal-to-noise ratio (SNR) of the recorded signal. However, non-linear methods are seldom explored due to their complexity and the fact that the non-linear characteristics of the signal are generally hard to determine. An RBFNN possesses built-in non-linear activation functions that enable the neural network to learn any function mapping. An RBFNN was carefully designed to model the EP signal. It has the advantage of being linear-in-parameter, thus a conventional adaptive method can efficiently estimate its parameters. The proposed algorithm is simple so that its convergence behaviour and performance in signal-to-noise ratio (SNR) improvement can be mathematically derived. A series of experiments carried out on simulated and human test responses confirmed the superior performance of the method. In a simulation experiment, an RBFNN having 15 hidden nodes was trained to approximate human visual EP (VEP). For detecting gene rate=0.005) speeded up the estimation remarkably by using only 80 ensembles to achieve a result comparable to that obtained by averaging 1000 ensembles.
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References
Aminoff, M.J. (1980): ‘Electrodiagnosis in clinical neurology,’ Churchill Livingstone, New York
Boston, J.R. (1985): ‘Noise cancellation for brainstem auditory evoked potentials,’IEEE Trans. Biomed. Eng.,32, pp. 1066–1070
Cerutti, S., Chiarenza, G., Liberati, D., Mascellani, P. andPavesi, G. (1988): ‘A parametric method of identification of single-trial event-related potentials in the brain,’IEEE Trans. Biomed. Eng.,35, pp. 701–711
Chan, F.H.Y., Lam, F.K., Poon, P.W.F. andDu, M.H. (1992): ‘Measurement of human BAEP by the maximum length sequence technique,’Med. Biol. Eng. Comput.,30, pp. 32–40
Chinrungrueng, C. andSequin, C.H. (1995): ‘Optimal adaptive K-means algorithm with dynamic adjustment of learning rate,’IEEE Trans. Neural Networks,6, pp. 157–169
Desmedt, J.E. (1979): ‘Cognitive components in cerebral event-related potentials and selective attention’, Karger, Basel, Switzerland
DeWeerd, J.P.C. (1981): ‘A posteriori time-varying filtering of averaged evoked potential’,Biol. Cybern.,41, pp. 211–222
Fung, K.S.M., Chan, F.H.Y., Lam, F.K., Liu, J.G. andPoon, P.W.F. (1996): ‘Visual evoked potential enhancement by an artificial neural network filter’,Bio-Med. Mat. Eng.,6, pp. 1–13
Harmony, T. (1984): ‘Neurometric assessment of brain dysfunction in neurological patients’, (Lawrence Erlbaum, Hillsdale, NJ)
Hartman, E.J., Keeler, J.D. andKowalski, J.M. (1990): ‘Layered neural networks with Gaussian hidden units as universal approximation’,Neural Comput.,2, pp. 1210–215
Kalouptsidis, N. andTheodoridis, S. (1993): ‘Adaptive system identification and signal processing algorithms’, (Prentice Hall, New York)
Laguna, P., Meste, O., Jane, R., Poon, P.W., Caminal, P., Rix, H., andThakor, N.V. (1992): ‘Adaptive filter for event-related bioelectric signals using an impulse correlated reference input: comparison with signal averaging techniques’,IEEE Trans. Biomed. Eng.,39, pp. 1032–1044
Lam, F.K., Chan, F.H.Y., Poon, P.W.F., Qiu W. andXu, B.Z. (1994): ‘Visual evoked potential measurement by adaptive filtering’,Bio-Med. Mater. Eng.,4, pp. 409–417
McGillen, C.D., Aunon, J.I. andYu, K.B. (1985): ‘Signals and noise in evoked brain potentials’,IEEE Trans. Biomed. Eng.,BME-32, pp. 1012–1016
Micchelli, C.A. (1986): ‘Interpolation of scatter data: distance matrices and conditionally positive definite functions’,Constructive Approximation,2, pp. 11–22
Mirchandani, G., Zinser, R.L. andEvans, J.B. (1992): ‘A new adaptive noise cancellation scheme in the presence of crosstalk’,IEEE Trans. Circuits Syst. ± II: Analog Digital Sig. Proc.,39, pp. 681–694
Park, J. andSandberg, I.W. (1991): ‘Universal approximation using radial basis function networks’,Neural Comput.,3, pp. 247–257
Parsa, V. andParker, P. (1994): ‘Constrained crosstalk resistant adaptive noise canceller’,Electron. Lett.,30, pp. 1276–1277
Parsa, V., Parker, P. andScott, R. (1994): ‘Crosstalk resistant adaptive noise cancellation applied to somatosensory evoked potential enhancement’,Proc. 1995 Int. Conf. on Acoustics, Speech and Signal Processing, Detroit, USA, vol. 5, pp. 2931–2934
Powell, M.J.D. (1987): ‘Radial basis functions for multivariable interpolation: a review’, Algorthms for Approximation, pp. 143–167
Qiu, W., Chan, F.H.Y., Lam, F.K. andPoon, P.W.F. (1994): ‘An enhanced approach to adaptive processing of the brain stem auditory evoked potential’,Australasian Physical Eng. Sci. Med.,17, pp. 131–135
Regan, D. (1972): ‘Evoked potentials in psychology, sensory physiology, and clinical medicine’ (Wiley, New York)
Regan, D. (1989): ‘Human brain electrophysioloogy: evoked potentials and evoked magnetic fields in science and medicine’ (Elsevier, New York)
Sherstinsky, A. andPicard, R.W. (1996): ‘On the efficiency of the orthogonal least squares training method for radial basis function networks’,IEEE Trans. Neural Networks,7, pp. 195–200
Shirvaikar, M.V. andTrivedi, M.M. (1995): ‘A neural network filter to detect small targets in high clutter backgrounds’,IEEE Trans. Neural Network,6, pp. 252–257
Uncini, A., Marchesi, M., Orlandi, G. andPiazza, F. (1990): ‘Non-linear adaptive filter using neural network’,Proc. Int. Conf. Neural Network, Paris, vol. 1, p. 158
Vaz, C.A. andThakor, N.V. (1989): ‘Adaptive Fourier estimation of time-varying evoked potentials’,IEEE Trans. Biomed. Eng.,36, pp. 448–455
Widrow, B. andStearns, S.D. (1985): ‘Adaptive signal processing’ (Prentice-Hall, Englewood Cliffs, NJ)
Widrow, B., Glover, J.R., McCoool, J.M., Kaunitz, J., Williams, C.S., Hearn, R.H., Zeidler, J.R., Dong, E. Jr. andGoodlin, R.C. (1975): ‘Adaptive noise canceling: Principles and applications’,Proc. IEEE,63, pp. 1692–1716
Xiao, H.Y., Yi, S.Z. andZhen, Y.H. (1994): ‘Peak component latency-corrected average method for evoked potential waveform estimation’,IEEE Trans. Biomed. Eng.,41, pp. 1072–1082
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Fung, K.S.M., Chan, F.H.Y., Lam, F.K. et al. A tracing evoked potential estimator. Med. Biol. Eng. Comput. 37, 218–227 (1999). https://doi.org/10.1007/BF02513290
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DOI: https://doi.org/10.1007/BF02513290