Ratio of Two Envelopes Taken From alpha-mu, eta-mu, and kappa-mu Variates and Some Practical Applications

Autor(es)

Nogueira Da Silva, Carlos Rafael ^[1] ; Simmons, Nidhi ^[2] ; Leonardo, Elvio J. ^[3] ; Cotton, Simon L. ^[2] ; Yacoub, Michel Daoud ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Wireless Technol Lab, BR-13083970 Campinas, SP - Brazil

^[2] Queens Univ Belfast, Inst Elect Commun & Informat Technol, Wireless Commun Lab, Belfast BT3 9DT, Antrim - North Ireland

^[3] Univ Estadual Maringa, Dept Informat, BR-87020900 Maringa, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE ACCESS; v. 7, p. 54449-54463, 2019.
• Citações Web of Science: 1

Resumo

In this paper, new, exact expressions for the probability density functions and the cumulative distribution functions of the ratio of random envelopes involving the alpha-mu, eta-mu, and kappa-mu fading distributions are derived. The expressions are obtained in terms of easily computable infinite series and also in terms of the multivariable Fox H-function. Some special cases of these ratios, namely, Hoyt/Hoyt, eta-mu/Nakagami-m, kappa-mu/Nakagami-m, kappa-mu/eta-mu with an integer mu for the eta-mu variate, eta-mu/eta-mu with an integer mu for only one of the eta-mu, and their reciprocals are found in novel exact closed-form expressions. In addition, simple closed-form expressions for the asymptotes of the probability density functions and cumulative distribution functions of all ratios, both for the lower and upper tails of the distributions are derived. In the same way, asymptotes for the bit error rate on a binary signaling channel are obtained in closed-form expressions. To demonstrate the practical utility of these new formulations, an application example is provided. In particular, the secrecy capacity of a Gaussian wire-tap channel used for device-to-device and vehicle-to-vehicle communications is characterized using data obtained from field measurements conducted at 5.8 GHz. (AU)

• Processo FAPESP: 18/16667-8 - Caracterização de Canais de Desvanecimento Compostos
• Beneficiário: Carlos Rafael Nogueira da Silva
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado