# asymptotic

(redirected from Asymptotic analysis)
Also found in: Dictionary, Encyclopedia, Wikipedia.

## a·symp·tot·ic

(ā'simp-tot'ik),
Pertaining to a limiting value, for example of a dependent variable, when the independent variable approaches zero or infinity.
Farlex Partner Medical Dictionary © Farlex 2012

## a·symp·tot·ic

(ā'simp-tot'ik)
Pertaining to a limiting value (e.g., a dependent variable) when the independent variable approaches zero or infinity.
Medical Dictionary for the Health Professions and Nursing © Farlex 2012
Mentioned in ?
References in periodicals archive ?
In order to gain more insights, we focus on the asymptotic analysis for the outage probability at high SNR regime by characterizing the CDF of the channel gains in the high SNR regime.
The systems obtained by internal averaging often remain without a subsequent study and left in the literature as a certain theoretical result of the asymptotic analysis [3,28].
Asymptotic Analysis. In the high SNR regime (i.e., P [right arrow] [infinity], equivalently, [XI] [right arrow] 0) and assuming that I is fixed and independent of [[gamma].sup.F.sub.R] and [[gamma].sup.F.sub.D] in (8) and (9) can be approximated to
The results corresponding to this asymptotic analysis with rectangular pulse shapes and [xi] = 1 are illustrated in Figure 4, when different relay locations for source-destination link distances [d.sub.AC] = {3 km, 6 km} are assumed together with values of normalized beamwidth and normalized jitter of ([[omega].sub.z]/r, [[sigma].sub.s]/r) = (5,1) and ([[omega].sub.z]/r,[[sigma].sub.s]/r) = (10,2).
The closest solutions in mechanics of heterogeneous media with uniformly distributed inclusions can be obtained from application of the two-scale asymptotic analysis [1-5].
(iii) Based on the asymptotic analysis of the outage probability, we propose a power allocation scheme to improve the system's performance and the proposed scheme can lead to SNR performance gains of more than 1dB compared to the equal power allocation scheme.
We perform asymptotic analysis applying the piecewise uniform approximation for the input vector PDF, which was obtained similarly as in [4].
The asymptotic analysis of expressions (1), (2) is important because of the various applications in representation theory, statistical mechanics and probability, including:
Asymptotic models in fluid mechanics (1.Elements of perturbation theory and asymptotic analysis; 2.
Huybrechs, "Asymptotic analysis of numerical steepest descent with path approximations," Found.
Zizovic, Statistical convergence, selection principles and asymptotic analysis, Chaos, Solitons and Fractals 42(2009), 2815-2821.
Tiwari and Kamal Singh [1] have obtained solution for an asymptotic analysis of an unsteady hydromagnetic boundary layer flow generated impulsively incompressible viscous conducting fluid with uniform distribution of dust particle bounded by semi-infinite plate.

Site: Follow: Share:
Open / Close