| Full text | |
| Author(s): |
de Bairros, Thiago A. M.
;
Pereira, Pedro M. R.
;
de Souza, Rausley A. A.
;
Yacoub, Michel D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY; v. 71, n. 3, p. 5-pg., 2022-03-01. |
| Abstract | |
In this correspondence, new fundamental statistics for the alpha-mu fading model are derived. Broadly speaking, these involve two correlated complex alpha-mu variates with identical clustering parameters, but arbitrary nonlinearity and power parameters and nonuniform phase distribution. More specifically, the following statistics are derived: (i) exact joint bivariate probability density function (PDF) of quadrature processes; (ii) exact joint bivariate phase-envelope PDF; (iii) approximate bivariate phase PDF; (iv) exact phase correlation coefficient; (v) exact phase autocorrelation coefficient as a function of the fading environment parameters; (vi) phase power spectrum density; (vii) exact phase difference PDF; and (viii) approximate phase difference PDF. As a by-product, a useful mathematical identity is obtained. Strikingly, the approximate phase difference PDF encompasses, as a particular case, the von Mises or Tikhonov PDF. An application example considers a signal transmission over a slow-flat alpha-mu fading channel, and the pilot symbol assisted modulation as the channel estimation technique, assuming imperfect channel estimation. It is clearly seen that a uniform phase assumption depicts a pessimistic scenario. (AU) | |
| FAPESP's process: | 21/06946-0 - Reconfigurable intelligent surface aided communications for 6G and beyond |
| Grantee: | Rausley Adriano Amaral de Souza |
| Support Opportunities: | Regular Research Grants |