Uniform bounds of first-order Marcum Q-function

作者：Koh Il Suek^*; Chang Sung Pil

来源：IET Communications, 2013, 7(13): 1331-1337.

DOI：10.1049/iet-com.2012.0694

• antennas
• Bessel functions
• diversity reception
• error statistics
• estimation theory
• Nakagami channels
• numerical analysis
• probability
• uniform tight bound estimation
• equal gain combining diversity system
• ABER
• average bit error rate probability
• Nakagami fading channel
• antenna diversity system
• generic integral formulation
• modified Bessel function
• lower bound
• upper bound
• incomplete cylindrical function
• generalised first-order Marcum Q-function

A new expression of the generalised Marcum Q-function is obtained in terms of incomplete cylindrical function. Based on the new representation, new lower and upper bounds of the first-order Marcum Q-function are formulated. The bounds are represented in terms of the error and modified Bessel functions. Unlike the existing bounds, the tightness of the new bounds is maintained over the entire range of arguments of the Marcum Q-function, which is numerically and theoretically demonstrated. To show the usefulness of the formulated bound, the upper and lower of a generic integral is formulated in the performance analysis of an antenna diversity system under a Nakagami fading channel. The uniform tightness of the bound of the integral is also observed. Then, the authors consider the average bit error rate (ABER) probability of the equal gain combining diversity system in the fading channel, which show that the proposed bound can estimate very tight bound of the ABER probability.

• 出版日期2013-9-4