| Authors: | Milovanović, Miloš Saulig, Nicoletta |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On the Optimal Representation of a Continuous Signal | Journal: | Acta Polytechnica Hungarica | Volume: | 22 | Issue: | 12 | First page: | 171 | Last page: | 181 | Issue Date: | 2025 | ISSN: | 1785-8860 | DOI: | 10.12700/APH.22.12.2025.12.12 | Abstract: | The optimal representation of a continuous signal is discussed. The underlying dynamics is presented by an operator acting on the domain, which makes the optimal frame to be wavelets. The wavelet-domain hidden Markov model has been constituted following statistics of the measurement process. Information contained in causal states is the global complexity, which is a measure of the representation optimality. |
Keywords: | delta function | wavelets | hidden Markov model | complexity | optimality | multiresolution analysis | Publisher: | Óbuda University |
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