Corpus ID: 119317963

Persistent Homology of Delay Embeddings

@article{Emrani2013PersistentHO,
  title={Persistent Homology of Delay Embeddings},
  author={Saba Emrani and Thanos Gentimis and Hamid Krim},
  journal={arXiv: Algebraic Topology},
  year={2013}
}
  • Saba Emrani, Thanos Gentimis, Hamid Krim
  • Published 2013
  • Mathematics
  • arXiv: Algebraic Topology
  • The objective of this study is to detect and quantify the periodic behavior of the signals using topological methods. We propose to use delay-coordinate embeddings as a tool to measure the periodicity of signals. Moreover, we use persistent homology for analyzing the structure of point clouds of delay-coordinate embeddings. A method for finding the appropriate value of delay is proposed based on the autocorrelation function of the signals. We apply this topological approach to wheeze signals by… CONTINUE READING

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