Cooperative Spectrum Sensing based on the Limiting Eigenvalue Ratio Distribution in Wishart Matrices

Recent advances in random matrix theory have spurred the adoption of eigenvalue-based detection techniques for cooperative spectrum sensing in cognitive radio. Most of such techniques use the ratio between the largest and the smallest eigenvalues of the received signal covariance matrix to infer the presence or absence of the primary signal. The results derived so far in this field are based on asymptotical assumptions, due to the difficulties in characterizing the exact distribution of the eigenvalues ratio. By exploiting a recent result on the limiting distribution of the smallest eigenvalue in complex Wishart matrices, in this paper we derive an expression for the limiting eigenvalue ratio distribution, which turns out to be much more accurate than the previous approximations also in the non-asymptotical region. This result is then straightforwardly applied to calculate the decision threshold as a function of a target probability of false alarm. Numerical simulations show that the proposed detection rule provides a substantial performance improvement compared to the other eigenvalue-based algorithms.Comment: 7 pages, 2 figures, submitted to IEEE Communications Letter

Quantum Dynamics of Coupled Bosonic Wells within the Bose-Hubbard Picture

We relate the quantum dynamics of the Bose-Hubbard model (BHM) to the semiclassical nonlinear equations that describe an array of interacting Bose condensates by implementing a standard variational procedure based on the coherent state method. We investigate the dynamics of the two-site BHM from the purely quantum viewpoint by recasting first the model within a spin picture and using then the related dynamical algebra. The latter allows us to study thoroughly the energy spectrum structure and to interpret quantally the classical symmetries of the two-site dynamics. The energy spectrum is also evaluated through various approximations relying on the coherent state approach.Comment: 22 pages, 7 figure

Geometrical aspects in the analysis of microcanonical phase-transitions

In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy level sets of the Hamiltonian of a system under investigation. In particular, it turns out that peculiar behaviours of thermodynamic observables at a phase transition point are rooted in more fundamental changes of the geometry of the energy level sets in phase space. More specifically, we discuss how microcanonical and geometrical descriptions of phase-transitions are shaped in the special case of $\phi^4$ models with either nearest-neighbours and mean-field interactions

Hybrid approach analysis of energy detection and eigenvalue based spectrum sensing algorithms with noise power estimation

Two particular semi-blind spectrum sensing algorithms are taken into account in this paper: Energy Detection (ED) and Roy's Largest Root Test (RLRT). Both algorithms require the knowledge of the noise power in order to achieve optimal performance. Since by its nature the noise power is unpredictable, noise variance estimation is needed in order to cope with the absence of prior knowledge of the noise power: this leads to a new hybrid approach for both considered detectors. Probability of detection and false alarm with this new approach are derived in closed-form expressions. The impact of noise estimation accuracy for ED and RLRT is evaluated in terms of Receiver Operating Characteristic (ROC) curves and performance curves, i.e., detection/misdetection probability as a function of the Signal to Noise Ratio (SNR). Analytical results have been confirmed by numerical simulations under a flat-fading channel scenario. It is concluded that both hybrid approaches tend to their ideal cases when a large number of slots is used for noise variance estimation and that the impairment due to noise uncertainty is reduced on RLRT w.r.t. E

The power of verification for one-parameter agents

We initiate the study of mechanisms with verification for one-parameter agents. We give an algorithmic characterization of such mechanisms and show that they are provably better than mechanisms without verification, i.e., those previously considered in the literature. These results are obtained for a number of optimization problems motivated by the Internet and recently studied in the algorithmic mechanism design literature. The characterization can be regarded as an alternative approach to existing techniques to design truthful mechanisms. The construction of such mechanisms reduces to the construction of an algorithm satisfying certain “monotonicity” conditions which, for the case of verification, are much less stringent. In other words, verification makes the construction easier and the algorithm more efficient (both computationally and in terms of approximability)

Persistência da atividade residual do BHC na superfície de diferentes materiais de construção

Em Mambaí (GO), a população faz uso de vários tipos de material de construção. Desde que tem sido detectada uma variabilidade de persistência da atividade de BHC, foram realizados experimentos laboratorais para testara capacidade destes materiais em reter a atividade do BHC. Estes experimentos consistiam na aplicação de um kit contendo 10 ninfas de 1° estágio de Dipetalogaster maximus e na verificação do tempo necessário para que houvesse 50% de mortalidade (TL50), depois de contatos contínuos com a superfície borrifada. Os testes foram feitos sempre em duplicata, utilizando-se controles adequados. Foram testados um total de 32 superfícies em 10 tipos de materiais, com intervalos de tempo até 627 dias após a borrifação. Os resultados obtidos levaram-nos às seguintes conclusões: 1)a atividade residual do BHC foi detectada, em nosso sistema de teste, até a observação final, 627 dias após a borrifação; 2) esta atividade variava bastante entre os diferentes materiais 88 dias após a borrifação. Esta variação parecia estar relacionada a mudanças na umidade relativa do ar; 3) de forma geral, a atividade residual do BHC, em nosso sistema, foi a seguinte, em ordem decrescente: adobe e tijolo não cozido, telha, folhas de palmeira, rebôco sem cal, capim e rebôco com cal, tijolo cozido e madeira.In Mambaí (Goiás) the population use various types of building materials. Since a variation in the persistence of BHC activity has been noted in different materiais, laboratory experiments were designed to investigate this aspect. The experiments employed a test kit of ten first instar Dipetalogaster maximus and verified the time necessary to achieve 50% mortality (LT50) after continuous contact with the sprayed surface. The tests were always done in duplicate with adequate Controls. Thirty-two surface from ten types of materials were tested at intervals up to 627 days after spraying. The results obtained can be summarized as follows: 1) the residual activity of BHC could be detected in ourtest system up to the final observation, 627 days after the test; 2) this activity variedgreatly among the different materiais 88 days after spraying. This variation was also related to variations in the atmospheric relative humidity; and 3) the capacity of the materiais to retain the residual activity of BHC in this system was the following in the order most efficient to least: adobe mud and unfired brick, tile, palm fronds and plaster without lime, straw and plaster with lime, fired brick and wood

New Constructions for Mechanisms with Verification

A social choice function A is implementable with verification if there exists a payment scheme P such that (A,P) is a truthful mechanism for verifiable agents [Nisan and Ronen, STOC 99]. We give a simple sufficient condition for a social choice function to be implementable with verification for comparable types. Comparable types are a generalization of the well-studied one-parameter agents. Based on this characterization, we show that a large class of objective functions μ admit social choice functions that are implementable with verification and minimize (or maximize) μ.We then focus on the well-studied case of oneparameter agents.We give a general technique for constructing efficiently computable social choice functions that minimize or approximately minimize objective functions that are non-increasing and neutral (these are functions that do not depend on the valuations of agents that have no work assigned to them). As a corollary we obtain efficient online and offline mechanisms with verification for some hard scheduling problems on related machines

Signaling pathways involved in renal oxidative injury: role of the vasoactive peptides and the renal dopaminergic system

The physiological hydroelectrolytic balance and the redox steady state in the kidney are accomplished by an intricate interaction between signals from extrarenal and intrarenal sources and between antinatriuretic and natriuretic factors. Angiotensin II, atrial natriuretic peptide and intrarenal dopamine play a pivotal role in this interactive network. The balance between endogenous antioxidant agents like the renal dopaminergic system and atrial natriuretic peptide, by one side, and the prooxidant effect of the renin angiotensin system, by the other side, contributes to ensuring the normal function of the kidney. Different pathological scenarios, as nephrotic syndrome and hypertension, where renal sodium excretion is altered, are associated with an impaired interaction between two natriuretic systems as the renal dopaminergic system and atrial natriuretic peptide that may be involved in the pathogenesis of renal diseases. The aim of this review is to update and comment the most recent evidences about the intracellular pathways involved in the relationship between endogenous antioxidant agents like the renal dopaminergic system and atrial natriuretic peptide and the prooxidant effect of the renin angiotensin system in the pathogenesis of renal inflammation.Fil: Rukavina Mikusic, Natalia Lucía. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Kravetz, Maria Cecilia. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Kouyoumdzian, Nicolás Martín. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Della Penna, S. L.. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; ArgentinaFil: Roson, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; ArgentinaFil: Fernandez, Belisario Enrique. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Choi, Marcelo Roberto. Universidad de Buenos Aires. Facultad de Farmacia y Bioquímica. Departamento de Ciencias Biológicas. Cátedra de Fisiopatología; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin