weak shadowing
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Sensors ◽  
2022 ◽  
Vol 22 (2) ◽  
pp. 646
Author(s):  
Pietro Tedeschi ◽  
Gabriele Oligeri ◽  
Roberto Di Pietro

Jamming is a malicious radio activity that represents a dreadful threat when employed in critical scenarios. Several techniques have been proposed to detect, locate, and mitigate jamming. Similarly, counter-counter-jamming techniques have been devised. This paper belongs to the latter thread. In particular, we propose a new jammer model: a power-modulated jammer that defies standard localization techniques. We provide several contributions: we first define a new mathematical model for the power-modulated jammer and then propose a throughout analysis of the localization error associated with the proposed power-modulated jammer, and we compare it with a standard power-constant jammer. Our results show that a power-modulated jammer can make the localization process completely ineffective—even under conservative assumptions of the shadowing process associated with the radio channel. Indeed, we prove that a constant-power jammer can be localized with high precision, even when coupled with a strong shadowing effect (σ ≈ 6 dBm). On the contrary, our power-modulated jammer, even in the presence of a very weak shadowing effect (σ < 2 dBm), presents a much wider localization error with respect to the constant-power jammer. In addition to being interesting on its own, we believe that our contribution also paves the way for further research in this area.


2016 ◽  
Vol 10 (02) ◽  
pp. 1750068
Author(s):  
Manseob Lee

Let [Formula: see text] be a symplectic diffeomorphism on a closed [Formula: see text][Formula: see text]-dimensional Riemannian manifold [Formula: see text]. In this paper, we show that [Formula: see text] is Anosov if any of the following statements holds: [Formula: see text] belongs to the [Formula: see text]-interior of the set of symplectic diffeomorphisms satisfying the limit shadowing property or [Formula: see text] belongs to the [Formula: see text]-interior of the set of symplectic diffeomorphisms satisfying the limit weak shadowing property or [Formula: see text] belongs to the [Formula: see text]-interior of the set of symplectic diffeomorphisms satisfying the s-limit shadowing property.


2016 ◽  
Vol 145 (6) ◽  
pp. 2591-2605
Author(s):  
Ming Li ◽  
Zhongjie Liu

2006 ◽  
Vol 16 (4) ◽  
pp. 871-882 ◽  
Author(s):  
S. Yu. Pilyugin ◽  
◽  
Kazuhiro Sakai ◽  
O. A. Tarakanov ◽  
Keyword(s):  

2002 ◽  
Vol 9 (2) ◽  
pp. 287-308 ◽  
Author(s):  
S. Pilyugin ◽  
A. Rodionova ◽  
Kazuhiro Sakai
Keyword(s):  

2001 ◽  
Vol 168 (1) ◽  
pp. 57-75 ◽  
Author(s):  
Kazuhiro Sakai
Keyword(s):  

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