Note on 'The calculation of the probability of detection and the generalized Marcum Q-function'
作者： D.A. Shnidman
DOI: 10.1109/18.32133
关键词:
摘要: A highly reliable, accurate, and efficient method of calculating the probability detection, P/sub N/(X,Y), for N incoherently integrated samples, where X is constant received signal-to-noise ratio a single pulse Y normalized threshold level, presented. The useful range parameters easily exceeds most needs. On VAX/11 computer with double precision calculations, better than 13-place absolute accuracy normally achieved. There gradual loss increasing parameter values. For example, N=10/sup 9/, both NX near 10/sup 7/, can drop to ten places. function N/(X,Y) be equated generalized Marcum Q-function, Q/sub m/( alpha , beta ). corresponding limits on are roughly 4500 60000 ultimate (INTEGER*4) limit. >
acm.org
sci-hub.se 参考文章(13)
I. S. Reed, L. E. Brennan, A Recursive Method of Computing the Q-Function. RAND Corporation. ,(1965)
L. Brennan, I. Reed, A recursive method of computing the Q function (Corresp.) IEEE Transactions on Information Theory. ,vol. 11, pp. 312- 313 ,(1965) , 10.1109/TIT.1965.1053761
MUNUSWAMY SANKARAN, Approximations to the non-central chi-square distribution Biometrika. ,vol. 50, pp. 199- 204 ,(1963) , 10.1093/BIOMET/50.1-2.199
S. Parl, A new method of calculating the generalized Q function (Corresp.) IEEE Transactions on Information Theory. ,vol. 26, pp. 121- 124 ,(1980) , 10.1109/TIT.1980.1056127
W. McGee, Another recursive method of computing the Q function (Corresp.) IEEE Transactions on Information Theory. ,vol. 16, pp. 500- 501 ,(1970) , 10.1109/TIT.1970.1054485
George Dillard, Recursive Computation of the Generalized Q Function IEEE Transactions on Aerospace and Electronic Systems. ,vol. 4, pp. 614- 615 ,(1973) , 10.1109/TAES.1973.309647
A. Nuttall, Some integrals involving the<tex>Q_M</tex>function (Corresp.) IEEE Transactions on Information Theory. ,vol. 21, pp. 95- 96 ,(1975) , 10.1109/TIT.1975.1055327
Carl Helstrom, James Ritcey, Evaluating Radar Detection Probabilities by Steepest Descent Integration IEEE Transactions on Aerospace and Electronic Systems. pp. 624- 634 ,(1984) , 10.1109/TAES.1984.310530
D. Shnidman, Efficient evaluation of probabilities of detection and the generalized Q-function (Corresp.) IEEE Transactions on Information Theory. ,vol. 22, pp. 746- 751 ,(1976) , 10.1109/TIT.1976.1055628
J. Marcum, A statistical theory of target detection by pulsed radar IEEE Transactions on Information Theory. ,vol. 6, pp. 59- 267 ,(1960) , 10.1109/TIT.1960.1057560