Abstract
The previous chapter was concerned with the analysis of signals and systems. We study now a much more difficult problem, the synthesis or design of systems which are optimum in some sense. Since it will turn out that we are interested principally in linear systems with random inputs and with criteria of optimization which are statistical in nature, it might be appropriate to call this general area by the term statistical design or statistical optimization theory for linear systems.
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References
I. S. Sokolnikoff and R. M. Redheffer, Mathematics of Physics and Modern Engineering, McGraw-Hill Book Company Inc., New York, N.Y., 1966.
I. M. Gelfand and S. V. Fomin, Calculus of Variations, translated from the Russian by R. A. Silverman, Prentice- Hall, Inc., Englewood Cliffs, N.J., 1963.
R. P. Weinstock, Calculus of Variations, McGraw-Hill Book Company, Inc., New York, N.Y., 1952.
H.V. Poor, An Introduction to Signal Detection and Estimation, Springer-Verlag, New York, N.Y., 1988.
J.G. Proakis, Digital Communications, McGraw-Hill Book Company, Inc., New York, N.Y. 1983.
D. O. North, “Analysis of Factors Which Determine Signal- Noise Discrimination in Pulsed Carrier Systems”, RCA Tech. Rept. PTR-6C, June 1943.
R. S. Phillips and P. R. Weiss, “Theoretical Calculations on Best Smoothing of Position Data for Gunnery Predictions”, MIT Radiation Lab., Rept. 532, February 1944.
J. H. Van Vleck and D. Middleton, “A Theoretical Comparison of the Visual, Aural and Meter Reception of Pulsed Signals in the Presence of Noise”, J. Appl. Physics, Vol. 17, p. 940, 1946.
N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, John Wiley and Sons, Inc., New York, N.Y., 1950.
L. A. Zadeh and J. R. Ragazzini, “An Extension of Weiner’s Theory of Prediction”, J. Appl. Physics, Vol. 21, July 1950, pp. 645 - 655.
H. W. Bode and C. E. Shannon, “A Simplified Derivation of Linear Least Square Smoothing and Prediction Theory”, Proc. IRE, Vol. 38, April 1950; pp. 417 - 425.
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© 1988 Dowden & Culver, Inc.
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Thomas, J.B. (1988). Optimum Linear Systems: Steady-State Synthesis. In: An Introduction to Communication Theory and Systems. Springer Texts in Electrical Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3826-3_5
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DOI: https://doi.org/10.1007/978-1-4612-3826-3_5
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