Generalized Rayleigh processes
Authors:
K. S. Miller, R. I. Bernstein and L. E. Blumenson
Journal:
Quart. Appl. Math. 16 (1958), 137-145
MSC:
Primary 60.00
DOI:
https://doi.org/10.1090/qam/94862
Correction:
Quart. Appl. Math. 20 (1963), 395-395.
MathSciNet review:
94862
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Additional Information
J. L. Lawson and G. E. Uhlenbeck, Threshold signals, McGraw-Hill Book Co., Inc., 1950
K. S. Miller and R. I. Bernstein, A mathematical theory of coherent integration and its application to single detection (to be published in Trans. I. R. E.)
R. Price, A note on the envelope and phase-modulated components of narrow-band Gaussian noise, Trans. I. R. E. (2) IT–1, 9-13 (1955)
- S. O. Rice, Mathematical analysis of random noise, Bell System Tech. J. 24 (1945), 46–156. MR 11918, DOI 10.1002/j.1538-7305.1945.tb00453.x
J. I. Marcum, A statistical theory of target detection by pulsed radar: Mathematical appendix, RM-753, July 1, 1948, re-issued April 25, 1952, The Rand Corp.
R. A. Fisher, The general sampling distribution of the multiple correlation coefficient, Proc. Roy. Soc. (London) A121, 654-673 (1928)
- S. O. Rice, Communication in the presence of noise—probability of error for two encoding schemes, Bell System Tech. J. 29 (1950), 60–93. MR 33469, DOI 10.1002/j.1538-7305.1950.tb00933.x
J. F. Barrett and D. G. Lampard, An expansion for some second-order probability distributions and its application to noise problems, Trans. I. R. E. (1) IT–1, 10-15 (1955)
- Wilhelm Magnus and Fritz Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics, Chelsea Publishing Co., New York, N.Y., 1949. Translated by John Wermer. MR 0029000
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
- David Middleton, Some general results in the theory of noise through non-linear devices, Quart. Appl. Math. 5 (1948), 445–498. MR 23484, DOI 10.1090/S0033-569X-1948-23484-1
J. L. Lawson and G. E. Uhlenbeck, Threshold signals, McGraw-Hill Book Co., Inc., 1950
K. S. Miller and R. I. Bernstein, A mathematical theory of coherent integration and its application to single detection (to be published in Trans. I. R. E.)
R. Price, A note on the envelope and phase-modulated components of narrow-band Gaussian noise, Trans. I. R. E. (2) IT–1, 9-13 (1955)
S. O. Rice, Mathematical analysis of random noise, Bell System Tech. J. (1) 24, 46-156 (1945)
J. I. Marcum, A statistical theory of target detection by pulsed radar: Mathematical appendix, RM-753, July 1, 1948, re-issued April 25, 1952, The Rand Corp.
R. A. Fisher, The general sampling distribution of the multiple correlation coefficient, Proc. Roy. Soc. (London) A121, 654-673 (1928)
S. O. Rice, Communication in the presence of noise, Bell System Tech. J. (1) 29, 60-93 (1950)
J. F. Barrett and D. G. Lampard, An expansion for some second-order probability distributions and its application to noise problems, Trans. I. R. E. (1) IT–1, 10-15 (1955)
W. Magnus and F. Oberhettinger, Formulas and theorems for the special functions of mathematical physics, Chelsea Publishing Co., 1949
G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Univ. Press, 2nd ed., 1952
D. Middleton, Some general results in the theory of noise through non-linear devices, Quart. Appl. Math. (4) 5, 445-498 (1948)
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Article copyright:
© Copyright 1958
American Mathematical Society
