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A Tractable Statistical Representation of IFTR Fading with Applications </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/eess?searchtype=author&query=Olyaee%2C+M">Maryam Olyaee</a>, <a href="/search/eess?searchtype=author&query=Hashemi%2C+H">Hadi Hashemi</a>, <a href="/search/eess?searchtype=author&query=Romero-Jerez%2C+J+M">Juan M. Romero-Jerez</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2307.05925v1-abstract-short" style="display: inline;"> The recently introduced independent fluctuating two-ray (IFTR) fading model, consisting of two specular components fluctuating independently plus a diffuse component, has proven to provide an excellent fit to different wireless environments, including the millimeter-wave band. However, the original formulations of the probability density function (PDF) and cumulative distribution function (CDF) of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.05925v1-abstract-full').style.display = 'inline'; document.getElementById('2307.05925v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2307.05925v1-abstract-full" style="display: none;"> The recently introduced independent fluctuating two-ray (IFTR) fading model, consisting of two specular components fluctuating independently plus a diffuse component, has proven to provide an excellent fit to different wireless environments, including the millimeter-wave band. However, the original formulations of the probability density function (PDF) and cumulative distribution function (CDF) of this model are not applicable to all possible values of its defining parameters, and are given in terms of multifold generalized hypergeometric functions, which prevents their widespread use for the derivation of performance metric expressions. In this paper we present a new formulation of the IFTR model as a countable mixture of Gamma distributions which greatly facilitates the performance evaluation for this model in terms of the metrics already known for the much simpler and widely used Nakagami-m fading. Additionally, a closed-form expression is presented for the generalized moment generating function (GMGF), which permits to readily obtain all the moments of the distribution of the model, as well as several relevant performance metrics. Based on these new derivations, the IFTR model is evaluated for the average channel capacity, the outage probability with and without co-channel interference, and the bit error rate (BER), which are verified by Monte Carlo simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.05925v1-abstract-full').style.display = 'none'; document.getElementById('2307.05925v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 July, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">This work was submitted to the IEEE for publication</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2305.05342">arXiv:2305.05342</a> <span> [<a href="https://arxiv.org/pdf/2305.05342">pdf</a>, <a href="https://arxiv.org/format/2305.05342">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Information Theory">cs.IT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Signal Processing">eess.SP</span> </div> </div> <p class="title is-5 mathjax"> The Multi-cluster Two-Wave Fading Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/eess?searchtype=author&query=Olyaee%2C+M">Maryam Olyaee</a>, <a href="/search/eess?searchtype=author&query=Pena-Martin%2C+J+P">Juan P. Pena-Martin</a>, <a href="/search/eess?searchtype=author&query=Lopez-Martinez%2C+F+J">F. J. Lopez-Martinez</a>, <a href="/search/eess?searchtype=author&query=Romero-Jerez%2C+J+M">Juan M. Romero-Jerez</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2305.05342v2-abstract-short" style="display: inline;"> We introduce and characterize the Multi-cluster Two-Wave (MTW) fading model, which generalizes \textit{both} the Durgin's Two-Wave with Diffuse Power (TWDP) and the $魏$-$渭$ models under a common umbrella. The MTW model consists of an arbitrary number of clusters of waves each of which may include one or two dominant (specular) components. The chief probability functions of the MTW fading model are… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.05342v2-abstract-full').style.display = 'inline'; document.getElementById('2305.05342v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2305.05342v2-abstract-full" style="display: none;"> We introduce and characterize the Multi-cluster Two-Wave (MTW) fading model, which generalizes \textit{both} the Durgin's Two-Wave with Diffuse Power (TWDP) and the $魏$-$渭$ models under a common umbrella. The MTW model consists of an arbitrary number of clusters of waves each of which may include one or two dominant (specular) components. The chief probability functions of the MTW fading model are obtained, including the probability density function, the cumulative distribution function and the generalized moment-generating function. \textcolor{black}{The proposed model is empirically validated using channel measurements in the sub-THz band and} a number of applications are exemplified, including the outage probability in noise-limited and interference-limited scenarios and the energy detection probability. %Exact expressions for the outage capacity are also obtained. A composite Inverse Gamma (IG)/MTW model is also investigated, thus extending the proposed propagation model to include shadowing. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.05342v2-abstract-full').style.display = 'none'; document.getElementById('2305.05342v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 May, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 9 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">This work has been submitted to the IEEE for publication</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2205.05604">arXiv:2205.05604</a> <span> [<a href="https://arxiv.org/pdf/2205.05604">pdf</a>, <a href="https://arxiv.org/format/2205.05604">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Information Theory">cs.IT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Signal Processing">eess.SP</span> </div> </div> <p class="title is-5 mathjax"> The Fluctuating Two-Ray Fading Model with Independent Specular Components </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/eess?searchtype=author&query=Olyaee%2C+M">Maryam Olyaee</a>, <a href="/search/eess?searchtype=author&query=Cort%C3%A9s%2C+J+A">Jos茅 A. Cort茅s</a>, <a href="/search/eess?searchtype=author&query=Lopez-Martinez%2C+F+J">F. Javier Lopez-Martinez</a>, <a href="/search/eess?searchtype=author&query=Paris%2C+J+F">Jos茅 F. Paris</a>, <a href="/search/eess?searchtype=author&query=Romero-Jerez%2C+J+M">Juan M. Romero-Jerez</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2205.05604v1-abstract-short" style="display: inline;"> We introduce and characterize the independent fluctuating two-ray (IFTR) fading model, a class of fading models consisting of two specular components which fluctuate independently, plus a diffuse component modeled as a complex Gaussian random variable. The IFTR model complements the popular fluctuating two-ray (FTR) model, on which the specular components are fully correlated and fluctuate jointly… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.05604v1-abstract-full').style.display = 'inline'; document.getElementById('2205.05604v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2205.05604v1-abstract-full" style="display: none;"> We introduce and characterize the independent fluctuating two-ray (IFTR) fading model, a class of fading models consisting of two specular components which fluctuate independently, plus a diffuse component modeled as a complex Gaussian random variable. The IFTR model complements the popular fluctuating two-ray (FTR) model, on which the specular components are fully correlated and fluctuate jointly. The chief probability functions of the received SNR in IFTR fading, including the PDF, CDF and MGF, are expressed in closed-form, having a functional form similar to other state-of-the-art fading models. Then, the IFTR model is empirically validated using multiple channels measured in rather diverse scenarios, including line of sight (LOS) millimeter-wave, land mobile satellite (LMS) and underwater acoustic communication (UAC), showing a better fit than the original FTR model and other models previously used in these environments. Additionally, the performance of wireless communication systems operating under IFTR fading is evaluated in closed-form in two scenarios: (i) exact and asymptotic bit error rate for a family of coherent modulations; and (ii) exact and asymptotic outage probability. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.05604v1-abstract-full').style.display = 'none'; document.getElementById('2205.05604v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 May, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages, 8 figures. arXiv admin note: text overlap with arXiv:1611.05063</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2205.04578">arXiv:2205.04578</a> <span> [<a href="https://arxiv.org/pdf/2205.04578">pdf</a>, <a href="https://arxiv.org/ps/2205.04578">ps</a>, <a href="https://arxiv.org/format/2205.04578">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Information Theory">cs.IT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Signal Processing">eess.SP</span> </div> </div> <p class="title is-5 mathjax"> Composite IG/FTR Channel Performance in Wireless Communication Systems </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/eess?searchtype=author&query=Olyaee%2C+M">Maryam Olyaee</a>, <a href="/search/eess?searchtype=author&query=Romero-Jerez%2C+J+M">Juan M. Romero-Jerez</a>, <a href="/search/eess?searchtype=author&query=L%C3%B3pez-Mart%C3%ADnez%2C+F+J">F. Javier L贸pez-Mart铆nez</a>, <a href="/search/eess?searchtype=author&query=Goldsmith%2C+A+J">Andrea J. Goldsmith</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2205.04578v1-abstract-short" style="display: inline;"> We present a composite wireless fading model encompassing multipath fading and shadowing based on fluctuating two-ray (FTR) fading and inverse gamma (IG) shadowing. We first determine an alternative framework for the statistical characterization and performance evaluation of the FTR fading model, which is based on the fact that the FTR fading distribution can be described as an underlying Rician S… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.04578v1-abstract-full').style.display = 'inline'; document.getElementById('2205.04578v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2205.04578v1-abstract-full" style="display: none;"> We present a composite wireless fading model encompassing multipath fading and shadowing based on fluctuating two-ray (FTR) fading and inverse gamma (IG) shadowing. We first determine an alternative framework for the statistical characterization and performance evaluation of the FTR fading model, which is based on the fact that the FTR fading distribution can be described as an underlying Rician Shadowed (RS) distribution with continuously varying parameter Kr (ratio of specular to diffuse components). We demonstrate that this new formulation permits to obtain a closed-form expression of the generalized moment generating function (GMGF) of the FTR model, from which the PDF and CDF of the composite IG/FTR model can be obtained in closed-form. The exact and asymptotic outage probability of the IG/FTR model are analyzed and verified by Monte Carlo simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.04578v1-abstract-full').style.display = 'none'; document.getElementById('2205.04578v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 May, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">This work has been submitted to the IEEE for publication. arXiv admin note: substantial text overlap with arXiv:2108.02990</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2108.02990">arXiv:2108.02990</a> <span> [<a href="https://arxiv.org/pdf/2108.02990">pdf</a>, <a href="https://arxiv.org/format/2108.02990">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Information Theory">cs.IT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Signal Processing">eess.SP</span> </div> </div> <p class="title is-5 mathjax"> Alternative Formulations for the Fluctuating Two-Ray Fading Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/eess?searchtype=author&query=Olyaee%2C+M">Maryam Olyaee</a>, <a href="/search/eess?searchtype=author&query=Romero-Jerez%2C+J+M">Juan M. Romero-Jerez</a>, <a href="/search/eess?searchtype=author&query=Lopez-Martinez%2C+F+J">F. Javier Lopez-Martinez</a>, <a href="/search/eess?searchtype=author&query=Goldsmith%2C+A+J">Andrea J. Goldsmith</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2108.02990v2-abstract-short" style="display: inline;"> We present two alternative formulations for the distribution of the fluctuating two-ray (FTR) fading model, which simplify its statistical characterization and subsequent use for performance evaluation. New expressions for the probability density function (PDF) and cumulative distribution function of the FTR model are obtained based on the observation that the FTR fading distribution is described,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.02990v2-abstract-full').style.display = 'inline'; document.getElementById('2108.02990v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2108.02990v2-abstract-full" style="display: none;"> We present two alternative formulations for the distribution of the fluctuating two-ray (FTR) fading model, which simplify its statistical characterization and subsequent use for performance evaluation. New expressions for the probability density function (PDF) and cumulative distribution function of the FTR model are obtained based on the observation that the FTR fading distribution is described, for arbitrary $m$, as an underlying Rician Shadowed (RS) distribution with continuously varying parameter $K$, while for the special case of $m$ being an integer, the FTR fading model is described in terms of a finite number of underlying squared Nakagami-$m$ distributions. It is shown that the chief statistics and any performance metric that are computed by averaging over the PDF of the FTR fading model can be expressed in terms of a finite-range integral over the corresponding statistic or performance metric for the RS (for arbitrary $m$) or the Nakagami-$m$ (for integer $m$) fading models, which have a simpler analytical characterization than the FTR model and for which many results are available in closed-form. New expressions for some Laplace-domain statistics of interest are also obtained; these are used to exemplify the practical relevance of this new formulation for performance analysis. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.02990v2-abstract-full').style.display = 'none'; document.getElementById('2108.02990v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 August, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 August, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">This work has been submitted to the IEEE for publication</span> </p> </li> </ol> <div class="is-hidden-tablet"> 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