Abstract
The observed phenomena in real sound environment system often contain uncertainty such as the additional external noise with unknown statistics. Furthermore, there is complex nonlinear relationship between the specific signal and the observations, and it cannot be exactly expressed in any definite functional form. In these situations, it is one of reasonable analysis methods to treat the objective sound environment system as a fuzzy system. In this study, a state estimation method for a specific signal under the existence of an unknown observation mechanism and external noise of unknown statistics is proposed by introducing fuzzy inference. The effectiveness of the proposed theoretical method is experimentally confirmed by applying it to the actually observed data in the sound environment.
Highlights
The observation data in actual sound environment system exhibit various types of fluctuation characteristics, and these often contain uncertainty
A state estimation method for a specific signal under the existence of an unknown observation mechanism and external noise of unknown statistics is proposed by introducing fuzzy inference
In order to evaluate the specific signal based on the observed noisy data, it is indispensable to introduce some unified state estimation methods adaptable to various uncertainty caused by complexity, diversity and unknown property existing in the actual sound environment systems
Summary
The observation data in actual sound environment system exhibit various types of fluctuation characteristics, and these often contain uncertainty. The observed signal is inevitably contaminated by the concurrent external noise (i.e., background noise) of arbitrary distribution type of unknown statistics In this situation, in order to evaluate the specific signal based on the observed noisy data, it is indispensable to introduce some unified state estimation methods adaptable to various uncertainty caused by complexity, diversity and unknown property existing in the actual sound environment systems. In order to remove effects of the background noise from the observed evaluation quantities under existence of the background noise, standard state estimation method based on an additive model of the specific signal and the background noise of known statistics cannot be applied In this situation, the relationship between the observed evaluation quantities and the background noise has to be generally considered as a system model with unknown observation mechanism. State Estimation for Sound Environment System with Unknown Observation Mechanism
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