Name
Abstract | ||
|---|---|---|
We propose a new approach to detect and quantify the periodic structure of dynamical systems using topological methods. We propose to use delay-coordinate embedding as a tool to detect the presence of harmonic structures by using persistent homology for robust analysis of point clouds of delay-coordinate embeddings. To discover the proper delay, we propose an autocorrelation like (ACL) function of the signals, and apply the introduced topological approach to analyze breathing sound signals for wheeze detection. Experiments have been carried out to substantiate the capabilities of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/LSP.2014.2305700 | Signal Processing Letters, IEEE |
Keywords | Field | DocType |
medical signal detection,medical signal processing,periodic structures,pneumodynamics,topology,ACL,autocorrelation like function,breathing sound signals,delay-coordinate embeddings,dynamical systems,harmonic structures,periodic structure,persistent homology,topological methods,wheeze detection,Algebraic topology algorithms,audio analysis,biomedical signal processing,topological signal analysis | Embedding,Pattern recognition,Harmonic,Persistent homology,Robustness (computer science),Audio analyzer,Dynamical systems theory,Artificial intelligence,Periodic graph (geometry),Mathematics,Autocorrelation | Journal |
Volume | Issue | ISSN |
21 | 4 | 1070-9908 |
Citations | PageRank | References |
17 | 0.89 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Saba Emrani | 1 | 42 | 5.22 |
| Thanos Gentimis | 2 | 26 | 2.90 |
| Hamid Krim | 3 | 520 | 59.69 |