The Nuttall Q function - its relation to the Marcum Q function and its application in digital communication performance evaluation

IEEE Transactions on CommunicationsPublished 1 November 2002

M.K. Simon

DOI10.1109/tcomm.2002.805270

Source URL

Citations83

SJR quartileQ1

SJR score3.49

SNIP2.62

TL;DR

The Nuttall 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.

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

Computer ScienceEngineering

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