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IEICE TRANSACTIONS on Fundamentals

State Estimation Method Based on Digital Filter for Energy Stochastic System with Decibel Observation Mechanism

Eiji UCHINO, Mitsuo OHTA

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Summary :

This paper describes a new method of state extimation for the energy stochastic system with decibel observation mechanism. The problem here is to get the decibel-valued estimate of the energy state variable through the decibel-valued noisy observation data, where it is usual that the stochastic system is physically driven on energy scale. The main attention is paid to the adjustment between the energy quantity at the physical countermeasure side and the decibel quantity at the human evaluation side. The basic principle of state estimation is based on the Bayes' theorem which can be applicable to any non-Gaussian and/or non-linear nature of the real stochastic system. Then, it is expanded into the suitable form adapted to successive decibel-valued observation. Thus, based on the mutual relation between energy and decibel statistics, any kinds of statistics connected with Lx evaluation at the human side can be estimated by using this decibel-valued noisy observation data (Lx is defined in the acoustics field as the (100-x)% point of the sound-level distribution and it is often used as the environmental noise assessment standard because man's sense of hearing is very sensitive to the end of the sound-level distribution form). Finally, the validity and the effectiveness of the proposed method have been confirmed by application to the actually obtained room acoustics data.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.11 pp.3546-3553
Publication Date
1991/11/25
Publicized
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Type of Manuscript
Special Section PAPER (Special Issue on HAKONE Digital Signal Processing Symposium)
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