Fuzzy Signal Processing of Sound and Electromagnetic Environment by Introducing Probability Measure of Fuzzy Events
Akira Ikuta, Hisako Orimoto
2014
Abstract
The specific signal in real sound and electromagnetic waves frequently shows some very complex fluctuation forms of non-Gaussian type owing to natural, social and human factors. Furthermore, the observed data often contain fuzziness due to the existence of confidence limitation in measuring instruments, permissible error in experimental data, and the variety of human response to phenomena, etc. In this study, by introducing the probability measure of fuzzy events, static and dynamic signal processing methods based on fuzzy observations are proposed for specific signal in the sound and electromagnetic environment with complex probability distribution forms. The effectiveness of the proposed theoretical method is experimentally confirmed by applying it to estimation problems in the real sound and electromagnetic environment.
References
- Bell, B. M., Cathey, F. W., 1993. The iterated Kalman filter update as a Gaussian-Newton methods. In IEEE Transactions on Automatic Control, Vol. 38, No. 2, pp. 294-297.
- Eykhoff, P., 1984. System identification: parameter and state estimation, John Wiley & Sons. New York.
- Guoshen, Y., 2012. Solving inverse problems with piecewise linear estimators: from gaussian mixture models to structured sparsity. In IEEE Transactions on Image Processing, Vol. 21, No. 5, pp. 2481-2499.
- Ikuta, A., Ohta, M., Ogawa, H., 1997. Various regression characteristics with higher order among light, sound and electromagnetic waves leaked from VDT. In Journal of International Measurement Confederation, Vol. 21, No. 1-2, pp. 25-33.
- Ikuta, A., Tokhi, M. O., Ohta, M., 2001. A cancellation method of background noise for a sound environment system with unknown structure.In IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E84-A, No. 2, pp. 457-466.
- Ikuta, A., Ohta, M., Siddique, M. N. H., 2005. Prediction of Probability Distribution for the Psychological Evaluation of Noise in the Environment Based on Fuzzy Theory. In International Journal of Acoustics and Vibration, Vol. 10, No. 3, pp. 107-114.
- Julier, S. J., 2002. The scaled unscented transformation. In Proceedings of American Control Conference, Vol. 6, pp. 4555-4559.
- Kalman, R. E., 1960. A new approach to linear filtering and prediction problems. In Transactions of the ASME Series D, Journal of Basic Engineering, Vol. 82, No.1, pp. 35-45.
- Kalman, R. E., Buch, R. S., 1961. New results in linear filtering and prediction theory. In Transactions of the ASME Series D, Journal of Basic Engineering, Vol. 83, No. 1, pp. 95-108.
- Kitagawa, G., 1996. Monte carlo filter and smoother for non-Gaussian nonlinear state space models. In Journal of Computational and Graphical Statistics, Vol. 5, No. 1, pp. 1-25.
- Kushner, H. J., 1967. Approximations to optimal nonlinear filter. In IEEE Transactions on Automatic Control, Vol. 12, No. 5, pp. 546-556.
- Ohta, M., Koizumi, T., 1968. General statistical treatment of response of a non-linear rectifying device to a stationary random input. In IEEE Transactions on Information Theory, Vol. 14, No. 4, pp. 595-598.
- Ohta, M., Yamada, H., 1984. New methodological trials of dynamical state estimation for the noise and vibration environmental system. In Acustica, Vol. 55, No. 4, pp. 199-212.
- Orimoto, H., Ikuta, A., 2014. State estimation method of sound environment system with multiplicative and additive noise. In International Journal of Circuits, Syatems and Signal Processing, Vol. 8, pp. 307-312.
- Zadeh, L. A., 1968. Probability measures of fuzzy events. In Journal of Mathematical Analysis and Applications, Vol. 23, pp.421-427.
Paper Citation
in Harvard Style
Ikuta A. and Orimoto H. (2014). Fuzzy Signal Processing of Sound and Electromagnetic Environment by Introducing Probability Measure of Fuzzy Events . In Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014) ISBN 978-989-758-053-6, pages 5-13. DOI: 10.5220/0005030600050013
in Bibtex Style
@conference{fcta14,
author={Akira Ikuta and Hisako Orimoto},
title={Fuzzy Signal Processing of Sound and Electromagnetic Environment by Introducing Probability Measure of Fuzzy Events},
booktitle={Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014)},
year={2014},
pages={5-13},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005030600050013},
isbn={978-989-758-053-6},
}
in EndNote Style
TY - CONF
JO - Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014)
TI - Fuzzy Signal Processing of Sound and Electromagnetic Environment by Introducing Probability Measure of Fuzzy Events
SN - 978-989-758-053-6
AU - Ikuta A.
AU - Orimoto H.
PY - 2014
SP - 5
EP - 13
DO - 10.5220/0005030600050013