Filtering Quantized Measurements
| Autor: | A. Schottl |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Posterior probability
Linear system Filter (signal processing) Computer Science Applications Adaptive filter Control and Systems Engineering Nonlinear filter Control theory Filtering problem Electrical and Electronic Engineering Network synthesis filters Recursive Bayesian estimation Algorithm Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 58:809-814 |
| ISSN: | 1558-2523 0018-9286 |
| DOI: | 10.1109/tac.2012.2212615 |
| Popis: | The problem of estimating the states of a linear system with quantized measurements is investigated. By introducing the concept of the so-called grid function, it is shown that the quantization effects may be interpreted as a modification of the nonquantized Bayesian posterior distribution. A new filter is obtained by approximating the grid function with a certain class of functions. An explicit filter representation resembling Gaussian sum filters is derived. It is shown that the grid function may also serve as a tool for characterizing well-known filters. We conclude by comparing the filter structure and performance with these well-known filters. |
| Databáze: | OpenAIRE |
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