Efficient Pole-Zero Modeling and Computation for the Nuttall Q-Function
| Autor: | James A. Ritcey |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Wishart distribution
Q-function 020302 automobile design & engineering 010103 numerical & computational mathematics 02 engineering and technology Function (mathematics) Rational function Moment-generating function 01 natural sciences Fading distribution 0203 mechanical engineering Applied mathematics Fading 0101 mathematics Computer Science::Information Theory Generating function (physics) Mathematics |
| Zdroj: | ACSSC |
| DOI: | 10.1109/acssc.2018.8645333 |
| Popis: | The Nuttall Q-function is an extension of the Generalized Marcum Q-function that has seen many recent applications in the performance analysis of communications systems over fading channels. These include co-channel interference, eigenvalues associated with non-central Wishart distributions, and MIMO systems performance analysis. In this paper, we address the computational issues in a novel way. First, we interpret the function as a intensity fading distribution. We derive new results for the moment generating function and the moments. Second, we develop computational methods based on pole-zero modeling using the Pade approximation. This rational function model for the generating function leads to a sums-of-exponential model for the Nuttall-Q. Our results hold for non-integral values of the parameters. |
| Databáze: | OpenAIRE |
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