Radial Basis Functionネットワークによる速度・加速度推定FIRフィルターの周波数特性解析と設計法(<特集>D & D 2007)

概要

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System control and identification often require accurate estimations of velocity and acceleration with a reduced group delay and lowpass property to attenuate high-frequency noise. This paper proposes a novel design method of FIR filter for estimating velocity and acceleration from sampled displacement data, where the filter coefficients are derived by piecewise Radial Basis Function Network (RBFN). The proposed FIR filter not only provides more accurate estimates in comparison with a conventional method, but also achieves the prescribed lowpass property and the specified group delay in the passband. The theoretical analysis of RBFN in the frequency domain derives the relationship between the frequency response of the FIR filter and width/regularization parameters in RBFN. Finally, the procedures for designing the filter are summarized with a design example.
2008-05-25