Entropy and Fractal Antennas

Guariglia, Emanuel

doi:10.3390/e18030084

Cited by 176 publications

(111 citation statements)

References 38 publications

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“…This fact may confirm, from a mathematical point of view, the idea from statistical fractal mechanics [5][6][7][8][9], according to which the complex probability density must be, also, a movement integral. Since our Lie's group in the space of null vectors is isomorphic to the Barbilian group (for details, see [17]), it results that the complex Gaussian Equation (33), with additional constrains [21], can have the role of an entropy in a fractal theory of motion [12].…”

Section: Fractal Entropy Through Non-differentiable Lie's Groupsupporting

confidence: 65%

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Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications

Grigorovici

Băcăiță

Pãun

et al. 2017

Entropy

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Abstract:In classical concepts, theoretical models are built assuming that the dynamics of the complex system's stuctural units occur on continuous and differentiable motion variables. In reality, the dynamics of the natural complex systems are much more complicated. These difficulties can be overcome in a complementary approach, using the fractal concept and the corresponding non-differentiable theoretical model, such as the scale relativity theory or the extended scale relativity theory. Thus, using the last theory, fractal entropy through non-differentiable Lie groups was established and, moreover, the pairs generating mechanisms through fractal entanglement states were explained. Our model has implications in the dynamics of biological structures, in the form of the "chameleon-like" behavior of cholesterol.

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Section: Fractal Entropy Through Non-differentiable Lie's Groupsupporting

confidence: 65%

“…[6][7][8][9]. Moreover, the analysis of complex systems evolution showed that most of them are non-linear and, therefore, new mathematical tools were required.…”

Section: Introductionmentioning

confidence: 99%

Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications

Grigorovici

Băcăiță

Pãun

et al. 2017

Entropy

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“…In order to define a diversity order, we borrow the definition of Renyi entropy, which is widely used to define a diversity order in biology and many other fields [17][18][19][20][21][22]. Renyi entropy is written as:…”

Section: New Definition Of Diversity Ordermentioning

confidence: 99%

On the Definition of Diversity Order Based on Renyi Entropy for Frequency Selective Fading Channels

Chae

2017

Entropy

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Abstract:Outage probabilities are important measures of the performance of wireless communication systems, but to obtain outage probabilities it is necessary to first determine detailed system parameters, followed by complicated calculations. When there are multiple candidates of diversity techniques applicable for a system, the diversity order can be used to roughly but quickly compare the techniques for a wide range of operating environments. For a system transmitting over frequency selective fading channels, the diversity order can be defined as the number of multi-paths if multi-paths have all equal energy. However, diversity order may not be adequately defined when the energy values are different. In order to obtain a rough value of diversity order, one may use the number of multi-paths or the reciprocal value of the multi-path energy variance. Such definitions are not very useful for evaluating the performance of diversity techniques since the former is meaningful only when the target outage probability is extremely small, while the latter is reasonable when the target outage probability is very large. In this paper, we propose a new definition of diversity order for frequency selective fading channels. The proposed scheme is based on Renyi entropy, which is widely used in biology and many other fields. We provide various simulation results to show that the diversity order using the proposed definition is tightly correlated with the corresponding outage probability, and thus the proposed scheme can be used for quickly selecting the best diversity technique among multiple candidates.

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“…OFDM has also been adopted by numerous wireless transmission standards such as long term evolution (LTE) and wireless local area network (WLAN) [5,6], which adopt the multiple-input multiple-output (MIMO) technique as the key technology to cope with increasing transmission reliability without any additional wireless bandwidth. There has been explosive adoption of MIMO technology in the wireless environment to improve the performance of antennas and transceivers [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Robust Sampling Frequency Offset Estimation for OFDM over Frequency Selective Fading Channels

Jung

You

2018

Applied Sciences

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Digital radio mondiale (DRM) is a terrestrial radio broadcasting standard to replace existing analogue AM and FM broadcasting, which is based on an orthogonal frequency division multiplexing (OFDM) technique. This paper focuses on the issue of estimating a sampling frequency offset (SFO) in OFDM-based broadcasting systems under frequency selective fading channels. In order to design a robust SFO estimation scheme and to benchmark its performance, the performance of the various conventional SFO estimation schemes is discussed and some improvements on the conventional estimation algorithms are highlighted. The simulation results show that such a design enhances the robustness of the proposed scheme against frequency selective fading.

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Entropy and Fractal Antennas

Cited by 176 publications

References 38 publications

Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications

Pairs Generating as a Consequence of the Fractal Entropy: Theory and Applications

On the Definition of Diversity Order Based on Renyi Entropy for Frequency Selective Fading Channels

Robust Sampling Frequency Offset Estimation for OFDM over Frequency Selective Fading Channels

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