Optimum Linear Systems: Steady-State Synthesis

  • John B. Thomas
Part of the Springer Texts in Electrical Engineering book series

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.

Keywords

Attenuation Covariance Autocorrelation Convolution Dition 

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References

  1. I. S. Sokolnikoff and R. M. Redheffer, Mathematics of Physics and Modern Engineering, McGraw-Hill Book Company Inc., New York, N.Y., 1966.Google Scholar
  2. 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.Google Scholar
  3. R. P. Weinstock, Calculus of Variations, McGraw-Hill Book Company, Inc., New York, N.Y., 1952.Google Scholar
  4. H.V. Poor, An Introduction to Signal Detection and Estimation, Springer-Verlag, New York, N.Y., 1988.Google Scholar
  5. J.G. Proakis, Digital Communications, McGraw-Hill Book Company, Inc., New York, N.Y. 1983.Google Scholar
  6. D. O. North, “Analysis of Factors Which Determine Signal- Noise Discrimination in Pulsed Carrier Systems”, RCA Tech. Rept. PTR-6C, June 1943.Google Scholar
  7. 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.Google Scholar
  8. 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.CrossRefGoogle Scholar
  9. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, John Wiley and Sons, Inc., New York, N.Y., 1950.Google Scholar
  10. 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.MathSciNetCrossRefGoogle Scholar
  11. 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.MathSciNetCrossRefGoogle Scholar

Copyright information

© Dowden & Culver, Inc. 1988

Authors and Affiliations

  • John B. Thomas
    • 1
  1. 1.Department of Electrical EngineeringPrinceton UniversityPrincetonUSA

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