Cross-Layer Design to Maintain Earthquake Sensor Network Connectivity After Loss of Infrastructure

We present the design of a cross-layer protocol to maintain connectivity in an earthquake monitoring and early warning sensor network in the absence of communications infrastructure. Such systems, by design, warn of events that severely damage or destroy communications infrastructure. However, the data they provide is of critical importance to emergency and rescue decision making in the immediate aftermath of such events, as is continued early warning of aftershocks, tsunamis, or other subsequent dangers. Utilizing a beyond line-of-sight (BLOS) HF physical layer, we propose an adaptable cross-layer network design that meets these specialized requirements. We are able to provide ultra high connectivity (UHC) early warning on strict time deadlines under worst-case channel conditions along with providing sufficient capacity for continued seismic data collection from a 1000 sensor network.Comment: To be published in MILCOM 2012 - Track 2: Networking Protocols and Performanc

New Class of Generalized Extensive Entropies for Studying Dynamical Systems in Highly Anisotropic Phase Space

Starting from the geometrical interpretation of the R\'enyi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probability distribution function obtained by the MaxEnt principle with generalized entropies. We prove that for a large class of dynamical systems subject to random perturbations, including particle transport in random media, these entropies play the role of Liapunov functionals. Some physical examples, which can be treated by the generalized R\'enyi entropies are also illustrated.Comment: 13 pages, 0 figure

Solid-state millimeter-wave power generation and amplification Final report, 1 Mar. 1966 - 28 Feb. 1970

Research and development in solid state millimeter wave power generation and amplificatio

The R\'enyi entropy of L\'evy distribution

The equivalence between non-extensive C. Tsallis entropy and the extensive entropy introduced by Alfr\'ed R\'enyi is discussed. The R\'enyi entropy is studied from the perspective of the geometry of the Lebesgue and generalised, exotic Lebesgue spaces. A duality principle is established. The R\'enyi entropy for the L\'evy distribution, in the domain when the nunerical methods fails, is approximated by asymptotic expansion for the large values of the R\'enyi parameter.Comment: 10 pages, 0 figure