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Empirical determination of the frequencies of an almost periodic sequence
Proceedings of 8th Workshop on Statistical Signal and Array Processing, 2002This note is concerned with the problem of determination of the countable set /spl Lambda/={/spl lambda//sub 1/, /spl lambda//sub 2/, ...} of frequencies belonging to an almost periodic sequence by methods in which a finite number of frequencies {/spl lambda//sub 1//sup (n)/, /spl lambda//sub 2//sup (n)/, ..., L(K/sub n/)/sup (n)/}=/spl Lambda//sub n ...
D. Dehay, H.L. Hurd
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Almost Periodic Functions and Sequences
2018In this chapter we review basic properties of almost periodic functions as well as their discrete counterparts needed in the sequel.
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Zeitschrift für Analysis und ihre Anwendungen, 2015
We prove that the discrete semigroup \mathbb{T}= \{\mathcal{T}(n): n \in \mathbb{Z_+}\} is uniformly exponentially stable if and only if for each z(n)\in \mathbb{AAP}_0(\mathbb{Z}_+,\mathcal{X})
Ahmad, Nisar +2 more
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We prove that the discrete semigroup \mathbb{T}= \{\mathcal{T}(n): n \in \mathbb{Z_+}\} is uniformly exponentially stable if and only if for each z(n)\in \mathbb{AAP}_0(\mathbb{Z}_+,\mathcal{X})
Ahmad, Nisar +2 more
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Almost Six-Phase Sequences with Perfect Periodic Autocorrelation Function
2014A new family of almost six-phase sequences with perfect periodic autocorrelation function is obtained. The distinctive features of these sequences are: fairly frequent grid of periods, quasi-perfect periodic cross-correlation function, and nearly unit peak-factor.
Vladimir E. Gantmakher +1 more
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Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations
Journal d'Analyse Mathématique, 1999Let \(T\) be a weakly almost periodic (WAP) representation of a locally compact \(\sigma\)-compact group \(G\) by linear operators in a Banach space \(X\). Let \(Mx\) be the unique fixed point in the closed convex hull of the orbit of \(x\) under \(T\). A sequence \(\{\mu_n\}\) of probabilities is said to average \(T\) [weakly] if \(\int T(t)x\mu_n(dt)\
Lin, Michael, Tempelman, Arkady
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Nonlinear Analysis: Real World Applications, 2009
The authors study the existence and uniqueness of almost periodic solutions for the following discrete Lotka-Volterra competitive system with feedback control \[ \begin{aligned} x_1(n+1) &= x_1(n)\exp\{r_1(n)(1- x_1(n)K^{-1}_1(n)- \mu_2(n)x_2(n)- b_1(n)u_1(n))\},\\ x_2(n+ 1) &= x_2(n)\exp\{r_2(n)(1- x_2(n)K^{-1}_2(n)- \mu_1(n)x_1(n)- b_2(n) u_2(n))\},\\
Niu, Chengying, Chen, Xiaoxing
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The authors study the existence and uniqueness of almost periodic solutions for the following discrete Lotka-Volterra competitive system with feedback control \[ \begin{aligned} x_1(n+1) &= x_1(n)\exp\{r_1(n)(1- x_1(n)K^{-1}_1(n)- \mu_2(n)x_2(n)- b_1(n)u_1(n))\},\\ x_2(n+ 1) &= x_2(n)\exp\{r_2(n)(1- x_2(n)K^{-1}_2(n)- \mu_1(n)x_1(n)- b_2(n) u_2(n))\},\\
Niu, Chengying, Chen, Xiaoxing
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Almost split sequences for TrD-periodic modules
1980In this paper we associate to each TrD-periodic module, over an artin algebra, a diagram and show that the diagram is one of the Dynkin diagrams or one of the Open image in new ...
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HOC Spectral Analysis of an Almost Periodic Random Sequence in Noise,
1987Abstract : Under some conditions, the expected numbers of zero-crossings observed in a finite section of a process with a mixed spectrum and in finite sections of its filtered versions, determine the frequencies in the discrete spectrum regardless of the magnitude of the noise component. Keywords: Spectrum analysis, Oscillation; Amplitude; Higher order
Benjamin Kedem, Shuyuan He
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Asymptotically Almost Periodic Sequence Solutions for a Class of Difference Equations
2012Differential equations is proposed when people study the variational equation of the orbits in discrete dynamical systems. It has important applications in many areas, including differential equations numerical methods, finite element method, control theory and computer science research.
Jingguo Qu +3 more
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Global Attractivity of Almost Periodic Sequence Solutions of Delayed Discrete-Time Neural Networks
Arabian Journal for Science and Engineering, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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