Closed-form generalized power correlation coefficient of the hoyt fading signal

Mendes, José Ricardo Pelaquim; Yacoub, M.D.; Fraidenraich, Gustavo

doi:10.1109/lcomm.2006.02009

Cited by 13 publications

(15 citation statements)

References 6 publications

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“…This has been verified on the example of the bivariate Hoyt CDF, similarly as done in [18]. Namely, in Table 2 are presented and compared the CPU times for (17), in the cases when the integrand of (17) is given by (5), as well as by (13), for several values of the correlation coefficient. In the both cases, the adaptive numerical integration technique was used [19], with the required computation accuracy at the sixth significant digit.…”

Section: Numerical Results and Discussionmentioning

confidence: 63%

“…All calculations were performed on a system with Intel Core TM 2 Duo CPU P9400 at 2.4 GHz. The obtained results show clearly that the CPU time is increased proportionally with the correlation, as well as that (17) is evaluated much faster for the integrand given by (13). The only exceptions are cases with extremely high correlation coefficient value (ρ → 1).…”

Section: Numerical Results and Discussionmentioning

confidence: 63%

“…In order to check the accuracy of the proposed mathematical analysis, the results obtained by the infinite series in (13) are compared with the corresponding ones from (5), where the involved integrals are evaluated numerically. Table 1 shows the number of the required terms (N oT ) that need to be summed in order to achieve the accuracy at the sixth significant digit after the truncation of the infinite series in (13).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Table 1 shows the number of the required terms (N oT ) that need to be summed in order to achieve the accuracy at the sixth significant digit after the truncation of the infinite series in (13). As Table 1 indicates, an increase to the correlation coefficient and signal envelopes leads to an increase of the required terms that need to be summed in order to obtain the given accuracy, similarly to other works related to infinite series representations associated with the bivariate and multivariate distributions, for example [9,10,15,18].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The Hoyt fading envelope r is modelled as r = x 2 1 + x 2 2 , where x 1 and x 2 are independent, in-phase and quadrature, zero-mean Gaussian RVs with variances σ 2 1 and σ 2 2 , respectively [13]. The joint PDFs of the in-phase and quadrature Gaussian components are given by [2] …”

Section: The Bivariate Hoyt Pdfmentioning

confidence: 99%

See 4 more Smart Citations

A New Approach to Bivariate Hoyt Distribution and its Application in Performance Analysis of Dual-Diversity Receivers

Bandjur¹,

Bandjur²,

Stefanović

2010

Wireless Pers Commun

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Novel infinite series based expressions for the bivariate Hoyt distribution are derived. More specifically, expressions for the joint probability density function (JPDF) and the joint cumulative distribution function (JCDF) of two Hoyt fading envelopes are derived, and proposed for use in performance analyses of dual-branch diversity receivers operating over correlated Hoyt fading channels. Using these reasonably simple and mathematically tractable expressions, we evaluate the performance of a dual-branch selection combining (SC) diversity receiver in terms of the outage probability (P out ) and the average bit error probability (ABEP) criteria. The ABEP performance is evaluated for binary differential phase-shift-keying (BDPSK) and binary non-coherent frequency-shift keying (BNFSK) modulation schemes.

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Section: Numerical Results and Discussionmentioning

confidence: 63%

Section: Numerical Results and Discussionmentioning

confidence: 63%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: The Bivariate Hoyt Pdfmentioning

confidence: 99%

See 3 more Smart Citations

A New Approach to Bivariate Hoyt Distribution and its Application in Performance Analysis of Dual-Diversity Receivers

Bandjur¹,

Bandjur²,

Stefanović

2010

Wireless Pers Commun

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Closed-form statistics for sum of two correlated squared Nakagami- q (Hoyt) random variables with applications

Paris¹

2011

Electron. Lett.

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Analytical derivation of the stationarity and the ergodicity of a field scattered by a slightly rough random surface

Oliveira

Dusséaux

Afifi

2010

Waves in Random and Complex Media

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International audienceIn the framework of the small perturbation method, we present a new theoretical derivation of the statistical and spatial properties of a field scattered by a one-dimensional slightly rough random surface. The work concerns the intermediate field zone where the scattered field is reduced to the contribution of the progressive plane waves. The surface is assumed to be stationary, ergodic and Gaussian. First, from a statistical point of view, we demonstrate that under oblique incidence the scattered field is not stationary while it is strictly stationary under normal incidence. For an infinite surface, the scattered field modulus obeys to Hoyt law and the phase is not uniform. Second, from a spatial point of view, for a given altitude and under all incidences, we show that the scattered field is ergodic. Under oblique incidence, the phase is spatially uniform and the modulus is given by a Rayleigh law. Under normal incidence, the phase is not uniform and the modulus is given by a Hoyt law. Third, from a practical point of view, we show that the field measured by a directional antenna is ergodic and stationary if the angular transfer function of the antenna does not contain the specular direction

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Closed-form generalized power correlation coefficient of the hoyt fading signal

Cited by 13 publications

References 6 publications

A New Approach to Bivariate Hoyt Distribution and its Application in Performance Analysis of Dual-Diversity Receivers

A New Approach to Bivariate Hoyt Distribution and its Application in Performance Analysis of Dual-Diversity Receivers

Closed-form statistics for sum of two correlated squared Nakagami- q (Hoyt) random variables with applications

Analytical derivation of the stationarity and the ergodicity of a field scattered by a slightly rough random surface

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