A state estimation method with matching between a physical energy quantity and a decibel scaled noisy observation for a sound environmental system

A state estimation method for an energy stochastic system with a decibel observation mechanism is presented. The problem is to get a decibel-valued estimate of an energy state variable by using the decibel-valued noisy observation data, where the stochastic system of concern is physically driven on energy scale. The main attention is paid to matching between the physical energy principle and the decibel observation mechanism on the human evaluation side. The present estimation method is based on an expansion form of the Baye´s theorem, and any kinds of statistics can be estimated. The effectiveness of the theory has been confirmed by application to room acoustics data