Abstract
The real observed data in sound and electromagnetic waves often contain fuzziness due to confidence limitations in sensing devices, permissible errors in the experimental data, and quantizing errors in digital observations. In this study, by paying attention to the specific signal in the real sound and electromagnetic environment, which exhibits complex probability distribution forms, a signal processing method is considered for estimating the probability distribution and the fluctuation wave form of the specific signal based on the observation with fuzziness. First, a static signal processing method is considered for predicting the probability distribution of electromagnetic wave leaked from several kinds of electronic information equipment in the real working environment based on the observed fuzzy data of the sound. Next, a dynamic state estimation method is proposed for estimating only the specific signal by removing background noise based on the fuzzy observation data in the sound environment under the existence of background noise. The effectiveness of the theoretically proposed static and dynamic signal processing methods is experimentally confirmed by applying those to real data in the sound and electromagnetic environment.
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References
Ikuta, A., Ohta, M., Ogawa, H.: Various regression characteristics with higher order among light, sound and electromagnetic waves leaked from VDT. J. Int. Measur. Confederation 21, 25–33 (1997)
Ikuta, A., Ohta, M., Siddique, M.N.H.: Prediction of probability distribution for the psychological evaluation of noise in the environment based on fuzzy theory. Int. J. Acoust. Vibr. 10, 107–114 (2005)
Bell, B.M., Cathey, F.W.: The iterated Kalman filter update as a Gaussian-Newton methods. IEEE Trans. Autom. Control 38, 294–297 (1993)
Kalman, R.E.: A new approach to linear filtering and prediction problems. Trans. ASME Series D J. Basic Eng. 82, 35–45 (1960)
Kalman, R.E., Buch, R.S.: New results in linear filtering and prediction theory. Trans. ASME Series D J. Basic Eng. 83, 95–108 (1961)
Kushner, H.J.: Approximations to optimal nonlinear filter. IEEE Trans. Autom. Control 12, 546–556 (1967)
Julier, S.J.: The scaled unscented transformation. Proc. Am. Control Conf. 6, 4555–4559 (2002)
Kitagawa, G.: Monte carlo filter and smoother for non-Gaussian nonlinear state space models. J. Comput. Graph. Stat. 5, 1–25 (1996)
Ohta, M., Yamada, H.: New methodological trials of dynamical state estimation for the noise and vibration environmental system. Acustica 55, 199–212 (1984)
Ikuta, A., Tokhi, M.O., Ohta, M.: A cancellation method of background noise for a sound environment system with unknown structure, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E84-A, 457–466 (2001)
H. Orimoto, A. Ikuta: State estimation method of sound environment system with multiplicative and additive noise. Int. J. Circ. Syst. Sig. Process. 8, 307–312 (2014)
Guoshen, Y.: Solving inverse problems with piecewise linear estimators: from gaussian mixture models to structured sparsity. IEEE Trans. Image Process. 21, 2481–2499 (2012)
Zadeh, L.A.: Probability measures of fuzzy events. J. Math. Anal. Appl. 23, 421–427 (1968)
Ohta, M., Koizumi, T.: General statistical treatment of response of a non-linear rectifying device to a stationary random input. IEEE Trans. Inf. Theory 14, 595–598 (1968)
Eykhoff, P.: System Identification: Parameter and State Estimation. Wiley, New York (1984)
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Ikuta, A., Orimoto, H. (2016). Static and Dynamic Methods for Fuzzy Signal Processing of Sound and Electromagnetic Environment Based on Fuzzy Observations. In: Merelo, J.J., Rosa, A., Cadenas, J.M., Dourado, A., Madani, K., Filipe, J. (eds) Computational Intelligence. IJCCI 2014. Studies in Computational Intelligence, vol 620. Springer, Cham. https://doi.org/10.1007/978-3-319-26393-9_11
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DOI: https://doi.org/10.1007/978-3-319-26393-9_11
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