Abstract

A new filtering algorithm — PSO-UPF was proposed for nonlinear dynamic systems. Basing on the concept of re-sampling, particles with bigger weights should be re-sampled more time, and in the PSO-UPF, after calculating the weight of particles, some particles will join in the refining process, which means that these particles will move to the region with higher weights. This process can be regarded as one-step predefined PSO process, so the proposed algo-rithm is named PSO-UPF. Although the PSO process increases the computing load of PSO-UPF, but the refined weights may make the proposed distribution more closed to the poster distribution. The proposed PSO-UPF algorithm was compared with other several filtering algorithms and the simulating results show that means and variances of PSO-UPF are lower than other filtering algorithms.

Highlights

  • Sequential signal processing has a wide range of applications in many fields such as statistical signal processing [1], target tracking [2,3], et al

  • A new filtering algorithm — Particle Swarm Optimization (PSO)-UPF was proposed for nonlinear dynamic systems

  • Basing on the concept of re-sampling, particles with bigger weights should be re-sampled more time, and in the PSO-UPF, after calculating the weight of particles, some particles will join in the refining process, which means that these particles will move to the region with higher weights

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Summary

Introduction

Sequential signal processing has a wide range of applications in many fields such as statistical signal processing [1], target tracking [2,3], et al. Particle filtering has three important operations, sampling, weight computation, and re-sampling. A new filtering algorithm — PSO-UPF was proposed for nonlinear dynamic systems. Basing on the concept of re-sampling, particles with bigger weights should be re-sampled more time, and in the PSO-UPF, after calculating the weight of particles, some particles will join in the refining process, which means that these particles will move to the region with higher weights. This process can be regarded as one-step predefined PSO process, so the proposed algorithm is named PSO-UPF.

Basic Particle Filter
Particle Swarm Optimizer Algorithm
PSO in the PF Process
The PSO-UPF Algorithm
The Simulation Experiments
Experimental Results and Some Remarks
Conclusions
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