Digital FM double errors

Pawula, R.

doi:10.1109/25.923068

Cited by 2 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This approach has also facilitated the analysis of double error rates ( [18]), and the effects of power imbalances, phase mismatch or noise correlation on receiver performance. While keeping the same advantages of (1), it is clear that (2) finds more applications owing to its more general form.…”

Section: The F -Function: a More General Proper Integralmentioning

confidence: 99%

A Clarification of the Proper-Integral Form for the Gaussian <inline-formula> <tex-math notation="TeX">$Q$</tex-math></inline-formula>-Function and Some New Results Involving the <inline-formula> <tex-math notation="TeX">$F$</tex-math></inline-formula>-Function

et al. 2014

View full text Add to dashboard Cite

We discuss the origin of the well-known integral form for the Gaussian Q-function. Although this form is originally attributed to Craig in his 1991 paper, it actually was inferred in previous communications theory references in the literature by Weinstein, and explicitly stated by Pawula, Rice and Roberts. Specifically, this form can be seen as a particular case of the general F -function, that is related to the distribution of the phase angle between two vectors perturbed by Gaussian noise. We show that the F -function includes as particular cases the one-and two-dimensional Gaussian Q-functions, and is connected with a class of confluent hypergeometric functions through the multivariate Φ (n) 1 function. This connection generalizes the existing relation between the Gaussian Q-functions and this family of hypergeometric functions.

show abstract

Section: The F -Function: a More General Proper Integralmentioning

confidence: 99%