Communications meets copula modeling: Non-standard dependence features in wireless fading channels

Peters, Gareth W.; Myrvoll, Tor André; Matsui, Tomoko; Nevat, Ido; Septier, François

doi:10.1109/globalsip.2014.7032317

Cited by 12 publications

(11 citation statements)

References 15 publications

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“…Similar to MRC, the maximum ZOC for SC with two dimensions is achieved for countermonotonic X 1 and X 2 [26]. The optimization problem (12) can therefore be written as min…”

Section: A Two-dimensional Casementioning

confidence: 99%

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On Fading Channel Dependency Structures with a Positive Zero-Outage Capacity

Besser,

Lin,

Jorswieck

2021

Preprint

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With emerging technologies like 6G, many new applications like autonomous systems evolve which have strict demands on the reliability of data communications. In this work, we consider a system with multiple slowly fading channels that constitute a diversity system. We show that the joint distribution of the fading coefficients has a tremendous impact on the outage performance of a communication system. In particular, we investigate the zero-outage capacity (ZOC) and characterize the joint fading distributions with a strictly positive ZOC. Interestingly, the set of joint distributions, that lead to positive ZOCs, is larger than a singleton in general. We also derive expressions for the maximum ZOC with respect to all possible joint distributions for selection combining (SC) as diversity combining technique at the receiver. For maximum ratio combining (MRC), we characterize the maximum ZOC within a finite number of bits. Finally, the results are evaluated explicitly for the special cases of Rayleigh fading and Nakagami-m fading in order to quantify the ZOCs for common fading models.

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“…Similar to MRC, the maximum ZOC for SC with two dimensions is achieved for countermonotonic X 1 and X 2 [26]. The optimization problem (12) can therefore be written as min…”

Section: A Two-dimensional Casementioning

confidence: 99%

“…In [10], [11], copulas have been used to model dependency in multiple-input multiple-output (MIMO) channels. In [12], it was…”

mentioning

confidence: 99%

On Fading Channel Dependency Structures with a Positive Zero-Outage Capacity

Besser,

Lin,

Jorswieck

2021

Preprint

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“…The motivation for introducing Archimedean copulas family comes from their wide application in real data analysis concerning: modelling financial data (shares prices, credit assets and risk analysis) [174,184,185,186], modelling computer networks traffic [13,14], wireless communication analysis [187], hydrological research [188,189,22,23,24], signal processing [190], and neuroimage data analysis [191]. Following [192] let us move to the following definition.…”

Section: Archimedean Copulasmentioning

confidence: 99%

Selected Methods for non-Gaussian Data Analysis

Domino

2018

Preprint

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“…In contrast, the outage secrecy capacity depends on the joint distribution and the same marginal property does not hold. Additionally, real measurements demonstrate that this assumption does not always hold in practice [ 10 , 11 ]. Especially for physical layer security systems, this can have significant consequences.…”

Section: Introductionmentioning

confidence: 99%

“…In all of this previous work, only (positive) linear correlation is considered. However, the joint fading distribution might have nonlinear dependency features [ 10 ]. A more general approach is therefore taken in [ 16 ], where the secrecy outage probability (SOP) is derived for Rayleigh fading links that follow a certain dependency structure.…”

Section: Introductionmentioning

confidence: 99%

On the Zero-Outage Secrecy-Capacity of Dependent Fading Wiretap Channels

Jorswieck¹,

Lin²,

Besser³

2022

Entropy

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It is known that for a slow fading Gaussian wiretap channel without channel state information at the transmitter and with statistically independent fading channels, the outage probability of any given target secrecy rate is non-zero, in general. This implies that the so-called zero-outage secrecy capacity (ZOSC) is zero and we cannot transmit at any positive data rate reliably and confidentially. When the fading legitimate and eavesdropper channels are statistically dependent, this conclusion changes significantly. Our work shows that there exist dependency structures for which positive zero-outage secrecy rates (ZOSR) are achievable. In this paper, we are interested in the characterization of these dependency structures and we study the system parameters in terms of the number of observations at legitimate receiver and eavesdropper as well as average channel gains for which positive ZOSR are achieved. First, we consider the setting that there are two paths from the transmitter to the legitimate receiver and one path to the eavesdropper. We show that by introducing a proper dependence structure among the fading gains of the three paths, we can achieve a zero secrecy outage probability (SOP) for some positive secrecy rate. In this way, we can achieve a non-zero ZOSR. We conjecture that the proposed dependency structure achieves maximum ZOSR. To better understand the underlying dependence structure, we further consider the case where the channel gains are from finite alphabets and systematically and globally solve the ZOSC. In addition, we apply the rearrangement algorithm to solve the ZOSR for continuous channel gains. The results indicate that the legitimate link must have an advantage in terms of the number of antennas and average channel gains to obtain positive ZOSR. The results motivate further studies into the optimal dependency structures.

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Communications meets copula modeling: Non-standard dependence features in wireless fading channels

Cited by 12 publications

References 15 publications

On Fading Channel Dependency Structures with a Positive Zero-Outage Capacity

On Fading Channel Dependency Structures with a Positive Zero-Outage Capacity

Selected Methods for non-Gaussian Data Analysis

On the Zero-Outage Secrecy-Capacity of Dependent Fading Wiretap Channels

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