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Bayesian Signal Processing: Classical, Modern and Particle Filtering Methods by James V. Candy

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10

BAYESIAN PROCESSORS FOR PHYSICS-BASED APPLICATIONS

In this chapter we develop a set of Bayesian signal processing applications based on the underlying physical phenomenology generating the measured process. The complexity of the process and the desire for enhanced signals drives the design primarily indicated by the process model. We motivate each application, succinctly develop the process and measurement models, develop the BSP and analyze its performance. More details on any of the designs can be obtained from the references for the interested reader. The main objective is to demonstrate the applicability of the Bayesian approach to a variety of interesting applications and analyze their performance.

10.1 OPTIMAL POSITION ESTIMATION FOR THE AUTOMATIC ALIGNMENT

The alignment of high energy laser beams for fusion experiments demand high precision and accuracy of the underlying positioning algorithms whether it be for actuator control or monitoring the beam line for potential anomalies. This section discusses the development of on-line, optimal position estimators in the form of Bayesian processors to achieve the desired results. Here we discuss the modeling, development, implementation and processing of Bayesian processors applied to both simulated and measured beam line data.

10.1.1 Background

Alignment of a high power beam is a complex and critical process requiring precise and accurate measurements. Misalignment of such a beam could easily destroy costly optics causing ...

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