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New Results on the Innovations Problem for Non-Linear Filtering. (2002)

Abstract
This report considers an observed stochastic process consisting of a signal with additive noise. It assumes that the signal has finite energy and that the signal and noise are independent. In this paper it is also shown, that under the above assumptions the innovations and observations algebra are equal, and thereby it provides a long-standing conjecture of Kailath.

Publication details
Contributors MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
Repository Defense Technical Information Center OAI-PMH Repository (United States)
Keywords CYBERNETICS, *SIGNAL PROCESSING, *ELECTRIC FILTERS, STOCHASTIC PROCESSES, NONLINEAR SYSTEMS, NOISE REDUCTION, NOISE(ELECTRICAL AND ELECTROMAGNETIC)., *Nonlinear filtering, Weiner processes, Martingales, PE61102F, WUAFOSR2304A1
Language eng