Title :
The Nuttall Q function - its relation to the Marcum Q function and its application in digital communication performance evaluation
Author :
Simon, Marvin K.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
fDate :
11/1/2002 12:00:00 AM
Abstract :
The Nuttall (1972) Q function is introduced and, for the case where the sum of its two order indices is odd, a closed-form expression is derived for it in terms of the Marcum (1950) Q function and modified Bessel functions of the first kind. Alternatively, a finite-range integral expression is also given for it, which has the identical form to that of the generalized Marcum Q function. Finally, digital communication performance applications involving the Nuttall Q function are presented to justify the value of the results.
Keywords :
Bessel functions; digital communication; error statistics; fading channels; integral equations; Nakagami fading channels; Nuttall Q function; closed-form expression; digital communication; error-probability performance; finite-range integral; generalized Marcum Q function; interference; modified Bessel functions; noncoherent digital communication; performance evaluation; Closed-form solution; Communications Society; Digital communication; Fading; Integral equations; Polynomials; Propulsion;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2002.805270