Recently, echo state network (ESN) has attracted a great deal of attention due to its high accuracy and efficient learning performance. Compared with the traditional random structure and classical sigmoid units, simple circle topology and leaky integrator neurons have more advantages on reservoir computing of ESN. In this paper, we propose a new model of ESN with both circle reservoir structure...

in this paper, we investigate the parameters affecting total harmonic distortion (thd) and power supply rejection ratio (psrr) in pwm class d amplifiers (cdas) on the basis of linear models with feedback. from our mathematical analysis, we show that the thd of a pwm class d amplifier with feedback can be improved by increasing the gain of the integrator through adding another amplifier at the o...

In this paper, we consider the development of an extended block integrator for the solution of stiff and oscillatory first-order Ordinary Differential Equations (ODEs) using interpolation and collocation techniques. The integrator was developed by collocation and interpolation of the combination of power series and exponential function to generate a continuous implicit Linear Multistep Method (...

this paper proposes a new method for parameter estimation of distorted single phase signals, through an improved demodulation-based phase tracking incorporated with a frequency adaptation mechanism. the simulation results demonstrate the superiority of the proposed method compared to the conventional sogi (second-order generalized integrator)-based approach, in spite of the dc-offset and harmon...

Persistent neural firing is of fundamental importance to working memory and other brain functions because it allows information to be held "online" following an input and to be integrated over time. Many models of persistent activity rely on some kind of positive feedback internal to the neural circuit concerned; however, too much feedback causes runaway firing (instability), and too little res...

Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play critical role in the modeling of mechanical systems and multibody dynamics. Motivated by widely used Lie-group equation (LGDAE) method, which handles index-2 systems, we first propose modified extended (MELGDAE) method for solving index-3 Hessenberg-DAEs then provide theoretical analysis to deepen foundation ME...