Communications Toolbox

marcumq

Generalized Marcum Q function

Syntax

• Q = marcumq(a,b);
  Q = marcumq(a,b,m);
  

Description

Q = marcumq(a,b) computes the Marcum Q function of a and b, defined by

where a and b are nonnegative real numbers. In this expression, I₀ is the modified Bessel function of the first kind of zero order.

Q = marcumq(a,b,m) computes the generalized Marcum Q, defined by

where a and b are nonnegative real numbers, and m is a nonnegative integer. In this expression, I_m-1 is the modified Bessel function of the first kind of order m-1.

See Also

besseli; ncx2cdf (Statistics Toolbox)

References

Cantrell, P. E., and A. K. Ojha, "Comparison of Generalized Q-Function Algorithms," IEEE Transactions on Information Theory, Vol. IT-33, July, 1987, pp. 591-596.

Marcum, J. I., "A Statistical Theory of Target Detection by Pulsed Radar: Mathematical Appendix," RAND Corporation, Santa Monica, CA, Research Memorandum RM-753, July 1, 1948. Reprinted in IRE Transactions on Information Theory, Vol. IT-6, April, 1960, pp. 59-267.

McGee, W. F., "Another Recursive Method of Computing the Q Function," IEEE Transactions on Information Theory, vol. IT-16, July, 1970, pp. 500-501.

log

mask2shift