Abstract
In a number of important applications of the theory of random processes, various linear operations are performed on stationary random processes.
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References
E.I. Jury, Theory and Application of the z- Transform Method, John Wiley and Sons, Inc., New York, N.Y. 1964.
S.O. Rice, –Mathematical Analysis of Random Noise,– Bell System Tech. J., vols, 23 and 24, 1944–45.
W.L. Root and T.S. Pitcher, “On the Fourier-Series Expansion of Random Functions,” Ann. Math. Stat., vol. 26, no. 2, June 1955, pp. 313 – 318.
W. B. Davenport, Jr. and W. L. Root, An Introduction to the Theory of Random Signals and Noise, McGraw-Hill Book Company, Inc., New York, N.Y.; 1958.
D. Middleton, An Introduction to Statistical Communication Theory, McGraw-Hill book Company, Inc., New York, N.Y.; 1960.
E. T. Whittaker and G. N. Watson, A Course in Modern
Analysis, Cambridge University Press, 1963, Chapter XI.
P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill Book Company, Inc., New York, N.Y.; 1978.
J.L. Brown, –Mean Square Truncation Error in Series Expansions of Random Functions, – J. Soc. Indust. Appl. Math., vol. 8, no. 1, March 1960, pp. 28–32.
H.P. Kramer, –On Best Approximations of Random Processes et al, – IRE Transactions on Information Theory, vol. IT-6, no. 1, March 1960, pp. 52–53.
E.T. Whittaker, –On the Functions which are Represented by Expansions of the Interpolation Theory, – Proc. Roy. Soc. (Edinburgh), vol. 35, 1914 –1915, pp. 181–194.
C.E. Shannon, “A Mathematical Theory of Communication,” Bell Sys. Tech. J., August 1948
C.E. Shannon, –Communication in the Presence of Noise,– Proc. IRE, vol. 37, no. 1, January 1949, pp. 10– 21.
D. Gabor, “Theory of Communication,” J. IEE, vol. 93, part III, November 1946, pp. 429 – 457.
P.M. Woodward, “Probability and Information Theory, with Applications to Radar,” Pergamon Press, Ltd., London 1953.
S.P. Lloyd, “A Sampling Theorem for Stationary (Wide Sense Stochastic Processes,” Trans. of the Am. Math. Soc., vol. 92, 1959, pp. 1 – 12.
A.V. Balakrishnan, “A Note on the Sampling Principles of Continous Signals,” IRE Transactions on Information Theory, vol. IT-3, no. 2, June 1957, pp. 143 – 146.
F.J. Beutler, “Sampling Theorems and Bases in a Hilbert Space,” Information and Control, vol. 4, 1961, pp. 97 – 117.
E. Jahnke and F. Emde, Tables of Functions, Dover Publications, New York, N.Y.; 1947.
H. B. Dwight, Tables of Integrals, Macmillan Publishing Company, Inc., New York, N.Y.; 1969.
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© 1988 Dowden & Culver, Inc.
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Thomas, J.B. (1988). Linear Filtering Of Stationary Processes: Steady-State Analysis. 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_4
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DOI: https://doi.org/10.1007/978-1-4612-3826-3_4
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