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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References | Similar Articles | Additional Information

**[1]**J. L. Lawson and G. E. Uhlenbeck,*Threshold signals*, McGraw-Hill Book Co., Inc., 1950**[2]**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.)**[3]**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)**[4]**S. O. Rice,*Mathematical analysis of random noise*, Bell System Tech. J.**24**(1945), 46–156. MR**0011918**, https://doi.org/10.1002/j.1538-7305.1945.tb00453.x**[5]**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.**[6]**R. A. Fisher,*The general sampling distribution of the multiple correlation coefficient*, Proc. Roy. Soc. (London)**A121**, 654-673 (1928)**[7]**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**0033469**, https://doi.org/10.1002/j.1538-7305.1950.tb00933.x**[8]**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)**[9]**Wilhelm Magnus and Fritz Oberhettinger,*Formulas and Theorems for the Special Functions of Mathematical Physics*, Chelsea Publishing Company, New York, N.Y., 1949. Translated by John Wermer. MR**0029000****[10]**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****[11]**David Middleton,*Some general results in the theory of noise through non-linear devices*, Quart. Appl. Math.**5**(1948), 445–498. MR**0023484**, https://doi.org/10.1090/S0033-569X-1948-23484-1

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DOI:
https://doi.org/10.1090/qam/94862

Article copyright:
© Copyright 1958
American Mathematical Society