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

Volume

50

Issue

11

fYear

2002

fDate

11/1/2002 12:00:00 AM

Firstpage

1712

Lastpage

1715

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;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2002.805270

Filename

1097878