Filtering Results for A Joint Control-Decoding Problem in Optical Communications.
| dc.contributor.author | Gubner, John A. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:40:07Z | |
| dc.date.available | 2007-05-23T09:40:07Z | |
| dc.date.issued | 1987 | en_US |
| dc.description.abstract | We consider a doubly-stochastic time-space Poisson-process model for a direct-detection receiver in an optical communication system. Using a Bayesian decision approach to specify the design of the receiver, we encounter a likelihood ratio which, in general, is a function of a certain conditional expectation. We show how the design of the receiver leads to what we call the Joint Control-Decoding Probiem. In a degenerate case, we completely solve the Joint Control-Decoding Problem and compute the conditional expectation mentioned. In the general case, we cannot compute the conditional expectation mentioned above, and hence, cannot proceed to solve the Joint Control-Decoding problem; however, in order to gain insight into the general filtering problem given time-space point-process observations, we attempt to apply known filtering methods to the computation of a related conditional expectation. Finally, we consider linear estimates to substitute for the needed conditional expectation. In the case of a deterministic control, we reduce the linear estimation problem to the solution of a Fredholm integral equation. In the final chapter, we present a discrete-time version of our model which we hope will render the corresponding Discrete-Time Joint Control-Decoding Problem more tractable. | en_US |
| dc.format.extent | 1153119 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4711 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1987-208 | en_US |
| dc.title | Filtering Results for A Joint Control-Decoding Problem in Optical Communications. | en_US |
| dc.type | Technical Report | en_US |
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