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Bibliographic Details
Main Authors: Abadie, Valentin, Boelcskei, Helmut
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.03816
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Table of Contents:
  • We establish diverse relationships between the algorithmic (Kolmogorov) complexity of the prefixes of any binary expansion and $β$-expansions. These relationships allow to develop intuitions on the complexity behavior of $β$-expansions, and raise problems related to compressibility of binary sequences generated in the context of A/D conversion relying on $β$-expansions. Our last contribution is to solve these problems.