Fuzzy Signal Processing of Sound and Electromagnetic Environment by Introducing Probability Measure of Fuzzy Events

摘要

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.