Tensor-Based Theory for Quantized Piecewise-Affine Markov Systems : Analysis of Some Map Families(Special Section on Nonlinear Theory and its Applications)

概要

論文の詳細を見る
In this paper we consider a tensor-based approach to the analytical computation of higher-order expectations of quantized trajectories generated by Piecewise Affine Markov (PWAM) map. We formally derive closed-form expressions for expectations of trajectories generated by three families of maps, referred to as (n, t)-tailed shifts, (n, t)-broken identities and (n, t, π)-mixing permutations. These families produce expectations with asymptotic exponential decay whose detailed profile is controlled by map design. In the (n, t)-tailed shift case expectations are alternating in sign, in the (n, t)-broken identity case they are constant in sign, are the (n, t, π)-mixing permutation case they follow a dumped periodic trend.
社団法人電子情報通信学会の論文
2001-09-01