In order to overcome some problems caused by improper parameters selection when applying Least mean square(LMS), Normalized LMS(NLMS) or Recursive least square(RLS) algorithms to estimate coefficients of second-order ...
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In order to overcome some problems caused by improper parameters selection when applying Least mean square(LMS), Normalized LMS(NLMS) or Recursive least square(RLS) algorithms to estimate coefficients of second-order Volterra filter, a novel davidonfletcher-powell-based Second-order Volterra filter(DFPSOVF) is proposed. Analysis of computational complexity and stability are presented. Simulation results of system parameter identification show that the DFP algorithm has fast convergence and excellent robustness than LMS and RLS algorithm. Prediction results of applying DFPSOVF model to single step predictions for Lorenz chaotic time series illustrate stability and convergence and there have not divergence problems. For the measured multiframe speech signals, prediction accuracy using DFPSOVF model is better than that of Linear prediction(LP).The DFP-SOVF model can better predict chaotic time series and the real measured speech signal series.
Nodal demand estimation of a Water Distribution Network (WDN) means calculating the estimated values of nodal demands with some measured parameter values through mathematical methods. The most existing methods are bas...
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Nodal demand estimation of a Water Distribution Network (WDN) means calculating the estimated values of nodal demands with some measured parameter values through mathematical methods. The most existing methods are based on an constrained weighted least-squares model and repeated computation of Jacobian matrix for optimal solutions. In this paper a new nonlinear model combined with pseudo-measurements and pressure constraints was developed for solution uniqueness. davidon-fletcher-powell (DFP) algorithm was proposed to search for the solution by one dimensional optimization and scale matrix calculation, which was easier than Jacobian matrix computation. Two cases, including a real-life WDN of X city in northwest China, were used to show the performance of the proposed algorithm. Encouraging results showed that the proposed method was effective and feasible macroscopically, and it had potential for practical applications of WDNs.
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