The numerical evaluation of the pdf of a sum of Nakagami-m random variables is considered in this letter. Different methods are proposed to obtain this approximation: i) a power series expansion based on elementary properties of unilateral convolution of power signals; ii) a Laplace approximation stemming from Laplace's method for asymptotic integral approximations; and iii) a Gaussian series expansion capturing the deviation of the wanted pdf from the Gaussian with the same mean and variance. Numerical results are included for validation and comparison with the literature and a critical assessment of the different methods is provided.
Series Expansions and Approximations of the Nakagami-m Sum Probability Density Function / Taricco, G.. - In: IEEE WIRELESS COMMUNICATIONS LETTERS. - ISSN 2162-2337. - STAMPA. - 11:1(2022), pp. 160-164. [10.1109/LWC.2021.3123223]
Series Expansions and Approximations of the Nakagami-m Sum Probability Density Function
Taricco G.
2022
Abstract
The numerical evaluation of the pdf of a sum of Nakagami-m random variables is considered in this letter. Different methods are proposed to obtain this approximation: i) a power series expansion based on elementary properties of unilateral convolution of power signals; ii) a Laplace approximation stemming from Laplace's method for asymptotic integral approximations; and iii) a Gaussian series expansion capturing the deviation of the wanted pdf from the Gaussian with the same mean and variance. Numerical results are included for validation and comparison with the literature and a critical assessment of the different methods is provided.File | Dimensione | Formato | |
---|---|---|---|
FINAL VERSION.PDF
accesso aperto
Tipologia:
2. Post-print / Author's Accepted Manuscript
Licenza:
Pubblico - Tutti i diritti riservati
Dimensione
545.09 kB
Formato
Adobe PDF
|
545.09 kB | Adobe PDF | Visualizza/Apri |
Taricco-Series.pdf
accesso riservato
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
795.33 kB
Formato
Adobe PDF
|
795.33 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2970977