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National Repository of Grey Literature

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Compression of Vehicle-Driving Data by Means of Orthogonal Bases Šimeček, Vít ; Mihálik, Ondrej The paper deals with application of orthogonal basesin signal approximation with the aim of data compression in avehicle driving simulator. Three different bases are tested: DiscreteFourier Basis, Discrete Cosine Basis, and Slepian Basis.Quality of signal approximation error is assessed in terms of globalsquared errors. Thus obtained numerical results suggest thatSlepian Basis affords the sparsest representation of signals testedin this study. Therefore, a considerable reduction of requiredmemory can be accomplished. Detailed record

Demystifying Band-Limited Extrapolation Mihálik, Ondrej Extrapolation of band-limited signals gained scientific attention over the last 60 years. Thefamous methods: Gerchberg-Papoulis algorithm, Prolate spheroidal wave functions (PSWFs), andsinc interpolation—they all promise excellent results. But when it comes to their practical implementation,users may find themselves struggling with many unanswered questions. Especially PSWFsbecame viewed as mysterious. They are hard to compute and even harder to apply. In theory theypromise excellent extrapolation capabilities—something which is contrary to our intuition. This paradoxis resolved if we admit that the real-world data contain noise. In this paper we review the abovementionedmethods and try to provide a brief assessment of their capabilities by considering theeffects of noise and the length of signal observation. Detailed record

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