Causal band-limitness and predictability criterions for one-sided sequences
Nikolai Dokuchaev
TL;DR
This paper investigates the frequency properties and predictability of one-sided sequences in deterministic settings, establishing classes of predictable sequences and proposing causal convolution-based predictors.
Contribution
It introduces new criteria for band-limitness and predictability of one-sided sequences and proposes causal convolution predictors for these sequences.
Findings
Established predictability of certain sequence classes
Proposed causal convolution sum predictors
Linked frequency characteristics to predictability
Abstract
The paper studies frequency characteristics and predictability of real sequences, i.e., discrete time processes in deterministic setting. We consider band-limitness and predictability of one-sided sequences. We establish predictability of some classes of sequences, and we suggest predictors represented by causal convolution sums over past times.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Mathematical Approximation and Integration · Approximation Theory and Sequence Spaces