Search results for "Ergodic process"

showing 2 items of 2 documents

Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration☆

2005

Abstract We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.

Statistics and ProbabilityPure mathematicsProbability theoryErgodicityMathematical analysisQuantitative Biology::Populations and EvolutionInvariant measureStatistics Probability and UncertaintyInvariant (mathematics)Ergodic processResolventMathematicsAnnales de l'Institut Henri Poincare (B) Probability and Statistics
researchProduct

On the Correlation and Ergodic Properties of the Squared Envelope of SOC Rayleigh Fading Channel Simulators

2012

Published version of an article in the journal: Wireless Personal Communications. Also available from the publisher at: http://dx.doi.org/10.1007/s11277-011-0493-2 In this paper, we investigate the correlation and ergodic properties of the squared envelope of a class of autocorrelation-ergodic (AE) sum-of-cisoids (SOC) simulation models for mobile Rayleigh fading channels. Novel closed-form expressions are presented for both the ensemble and the time autocorrelation functions (ACFs) of the SOC simulation model’s squared envelope. These expressions have been derived by assuming that the SOC model’s inphase and quadrature (IQ) components have arbitrary autocorrelation and cross-correlation pr…

VDP::Mathematics and natural science: 400::Information and communication science: 420::Communication and distributed systems: 423Stochastic processmobile communicationsAutocorrelationEstimatorchannel simulatorsComputer Science ApplicationsQuadrature (mathematics)sum-of-cisoidsNarrowbandsum-of-sinusoidsNorm (mathematics)VDP::Technology: 500::Information and communication technology: 550::Telecommunication: 552StatisticsApplied mathematicsErgodic theoryergodic processesElectrical and Electronic EngineeringRayleigh fading channelssquared envelopeMathematicsRayleigh fadingWireless Personal Communications
researchProduct