Some new properties of lattice filters are presented based on the order-preserving mapping and lattice homomorphism, and two necessary and sufficient conditions for lattice filters under the chain type are given. Then...Some new properties of lattice filters are presented based on the order-preserving mapping and lattice homomorphism, and two necessary and sufficient conditions for lattice filters under the chain type are given. Then, the relations between lattice filter and lattice implication algebras （LIAs）, i. e., the relations between lattice filter and LIA-filters, and the related properties are investigated. In addition, three necessary and sufficient conditions for LIA-filters are discussed. The obtained results may serve as some theoretical supports to lattice-valued logical system.展开更多
A novel adaptive algorithm of IIR lattice notch filter realized by all-pass filter is presented. The time-averaged estimation of cross correlation of the present instantaneous input signal and the past output signal i...A novel adaptive algorithm of IIR lattice notch filter realized by all-pass filter is presented. The time-averaged estimation of cross correlation of the present instantaneous input signal and the past output signal is used to update the step-size, leading to a considerably improved convergence rate in a low SNR situation and reduced steady-state bias and MSE. The theoretical expression for steady-state bounds on the step-size is derived, and the influence factors on the stable performance of the algorithm theoretically are analyzed. A normalized power factor is then introduced to control variation of step-size in its steady-state bounds. This technique prevents divergence due to the influence of large power input signal and improves robustness. Numerical experiments are performed to demonstrate superiority of the proposed method.展开更多
This paper proposes a novel approach to the incipient and abrupt fault detection for a class of unknown linear dynamic systems. The proposed method generates a set of residual sequences from the system input and measu...This paper proposes a novel approach to the incipient and abrupt fault detection for a class of unknown linear dynamic systems. The proposed method generates a set of residual sequences from the system input and measured output using an adaptive bi channel lattice filter. The fault detection is carried out by performing statistical tests on the residuals. The distinctive advantage of this method is that a model of the unknown system is not required a priori for the purpose of fault detection. An application of this approach in a practical control system has been implemented, and satisfactory results have been obtained.展开更多
基金The National Natural Science Founda-tion of China (No.60474022)the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20060613007)
文摘Some new properties of lattice filters are presented based on the order-preserving mapping and lattice homomorphism, and two necessary and sufficient conditions for lattice filters under the chain type are given. Then, the relations between lattice filter and lattice implication algebras （LIAs）, i. e., the relations between lattice filter and LIA-filters, and the related properties are investigated. In addition, three necessary and sufficient conditions for LIA-filters are discussed. The obtained results may serve as some theoretical supports to lattice-valued logical system.
文摘A novel adaptive algorithm of IIR lattice notch filter realized by all-pass filter is presented. The time-averaged estimation of cross correlation of the present instantaneous input signal and the past output signal is used to update the step-size, leading to a considerably improved convergence rate in a low SNR situation and reduced steady-state bias and MSE. The theoretical expression for steady-state bounds on the step-size is derived, and the influence factors on the stable performance of the algorithm theoretically are analyzed. A normalized power factor is then introduced to control variation of step-size in its steady-state bounds. This technique prevents divergence due to the influence of large power input signal and improves robustness. Numerical experiments are performed to demonstrate superiority of the proposed method.
文摘This paper proposes a novel approach to the incipient and abrupt fault detection for a class of unknown linear dynamic systems. The proposed method generates a set of residual sequences from the system input and measured output using an adaptive bi channel lattice filter. The fault detection is carried out by performing statistical tests on the residuals. The distinctive advantage of this method is that a model of the unknown system is not required a priori for the purpose of fault detection. An application of this approach in a practical control system has been implemented, and satisfactory results have been obtained.
