Ambient RF (Radio Frequency) energy harvesting technique has recently been proposed as a potential solution to provide proactive replenishment for wireless devices. This paper aims analyze the performance of battery-free sensor powered by ambient using stochastic geometry approach. Specifically, we consider point-to-point uplink transmission in network, where sources, such mobile transmit devices, access points and base stations, are distributed Ginibre alpha-determinantal point process...

RF-enabled wireless power transfer and energy harvesting has recently emerged as a promising technique to provision perpetual replenishment for low-power networks. The network devices are replenished by the RF harvested from transmission of ambient transmitters, which offers practical solution enable self-sustainable communications. This paper adopts stochastic geometry framework based on Ginibre model analyze performance communications over cellular networks with general fading channels....

Ambient RF (Radio Frequency) energy harvesting techniques have recently been proposed as a potential solution to provide proactive replenishment for wireless devices. This paper aims analyze the performance of battery-free sensor powered by ambient using stochastic-geometry approach. Specifically, we consider random network model in which sources are distributed Ginibre α-determinantal point process recovers Poisson when α approaches zero. We characterize expected rate. also perform...

These notes survey some aspects of discrete-time chaotic calculus and its applications, based on the chaos representation property for i.i.d. sequences random variables. The topics covered include Clark formula predictable representation, anticipating calculus, covariance identities functional inequalities (such as deviation logarithmic Sobolev inequalities), an application to option hedging in discrete time.

The Poisson point process (PPP) has been widely employed to model wireless networks and analyze their performance. PPP the property that nodes are conditionally independent from each other. As such, it may not be a suitable for many networks, where there exists repulsion among nodes. In order address this limitation, we adopt hardcore (PHCP), in which no two can closer than radius one another. We consider two-tier heterogeneous spatial distributions of transmitters first-tier second-tier...

We consider a family of marked binary Galton-Watson trees that can model individual types in population genetics, by allowing for mutation and reversion discrete continuous time. derive recursive formula the computation joint distribution conditional to value total progeny. This allows us compute evolution various expected quantities, such as mean proportions different tree size or time increases. Some generating functions are determined explicit forms using generalized Catalan numbers,...

This paper considers the probabilistic representation of solutions ordinary differential equations (ODEs) by generation random trees. We present sufficient conditions on equation coefficients that ensure integrability and uniform functionals trees used in this representation, yield quantitative estimates its explosion time. Those rely analysis a marked branching process controls growth trees, which marks can be interpreted as mutant types population genetics models. also show how is...

Abstract We consider the count of subgraphs with an arbitrary configuration endpoints in random-connection model based on a Poisson point process ${\mathord{\mathbb R}}^d$ . present combinatorial expressions for computation cumulants and moments all orders such subgraph counts, which allow us to estimate growth as intensity underlying goes infinity. As consequence, we obtain central limit theorem explicit convergence rates under Kolmogorov distance connectivity bounds. Numerical examples are...

We study a new interpretation of the Poisson space as triplet (H,B,P) where if is Hilbert spaceB completion H and P extension to Borel σ-algebra B cylindrical measure on B. A discrete chaotic decomposition L 2(B P) defined, along with multiple stochastic integrals elements on. It turns out that directional derivative functionals in direction an element annihilation operator decomposition. By composition process, we deduce continuous-time operators derivation divergence form number Those...

Ambient radio frequency (RF) energy harvesting methods have drawn significant interests due to their ability provide wireless devices from ambient RF sources. This paper considers sensor networks where a node transmits data sink using the harvested signals transmitted by We analyze performance of network, i.e., mean energy, power outage probability, and transmission probability. In many practical networks, locations sources are spatially correlated exhibit repulsive behaviors. Therefore, we...

The fifth-generation (5G) wireless networks are expected to provision value-added services with ubiquitous coverage, which makes data security unprecedentedly critical. In this context, physical layer has emerged as a promising solution safeguard transmission by exploiting characteristics of the medium. Despite recent technological advance in and transmission, secrecy outages (i.e., breaches) service connection failures) will inevitably happen incur financial losses. This economical...

The advance in RF energy transfer and harvesting technique over the past decade has enabled wireless replenishment for electronic devices, which is deemed as a promising alternative to address bottleneck of conventional battery-powered devices. In this paper, by using stochastic geometry approach, we aim analyze performance an RF-powered sensor downlink simultaneous information power (SWIPT) system with ambient transmitters. Specifically, consider point-to-point SWIPT transmission from...