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Asymptotic expansions for central limit theorems for general linear stochastic processes. II: Models of the general random noise and pulse train processes
Author(s) -
Butzer P. L.,
Gather U.,
Törnig W.
Publication year - 1979
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670010304
Subject(s) - mathematics , central limit theorem , stochastic process , limit (mathematics) , noise (video) , class (philosophy) , general theory , asymptotic analysis , pulse (music) , variety (cybernetics) , statistical physics , mathematical analysis , mathematical economics , computer science , statistics , telecommunications , artificial intelligence , detector , image (mathematics) , physics
This part is concerned with the applications of the theorems on error estimates for asymptotic expansions in the central limit theorem for general linear stochastic processes of Part I to two important typical models. These are the general random noise process and a class of pulse train processes that occur in stochastic signal theory and in a variety of digital communication schemes. The assumptions on the inherent structure of the general theorems turn out to be simple here.