Showing papers by "John B. Moore published in 1972"

A note on minimal-order observers

Abstract: An extension is given to Kalman observer theory which gives necessary and sufficient conditions for reduced-order Kalman observers for the case when it is required to observe a specified linear functional of the states of a system rather than the states themselves. The results are useful for the design of low-order compensators for systems with noisy output measurements.

Optimum Detection and Signal Design for Channels With Non- but Near-Gaussian Additive Noise

Abstract: The Gram-Charlier series representation of the noiseprobability density function is used to determine an optimum detector for signals in non-Gaussian but near-Gaussian (NGNG) noise. Solutions are obtained for coherent and incoherent detection. Optimal detectors for several typical transmitting systems are determined. Generally these detectors consist of the standard detector for Gaussian noise with the addition of a few, not too sophisticated, nonlinear elements. The performance of a detector, specified by the upper bound on the probability of error, is assessed and is seen to depend on the signal shape, the time-bandwidth product, and the signal-to-noise ratio. The optimal signal to minimize the probability of error is determined and is seen to result as a solution to Duffing's second-order nonlinear differential equation.

A new method for the solution of the Cauchy problem for parabolic equations

Abstract: partial differential equations. When the equations are defined in unbounded domains, as in the initial value (Cauchy) problem, the solution of the integral equation by the method of successive approximation has inherent advantages over other methods. Error bounds for the method are of order h3/2 and h7/2 (h is the increment size) depending on the finite difference approximations involved.