Selected Problems in Systems Engineering

摘要

This report deals with two types of signal processing and control applications. The first area of concentration is nonlinear filtering and signal extraction. In particular, polynomic filter theory has been extended to the point where optimal causal filters can be specialized for several signal extraction problems. A direct comparison of the power of nonlinear filters has been explored and some of the computational aspects of polynomic filters have been investigated. The second area of research is that of multidimensional system theory. Such theories are central to image processing, robotics and would seem to impact artificial intelligence and other related sciences. In recent months a fundamental operator factorization problem has been solved and initial studies of rapid computation are completed. A specification of special purpose computer architecture for rapid on line processing of multidimensional signals is within each although not yet in hand. The research conducted under the grant has featured an operator theoretic approach. The concept of 'state' is secondary in most of our results. This is felt to have been a distinctive feature. (Author)