Abstract
The concept of spectral envelope for analyzing periodicities in categorical-valued time series was introduced in the statistics literature as a computationally simple and general statistical methodology for the harmonic analysis and scaling of non-numeric sequences. One benefit of this technique is that it combines nonparametric statistical analysis with modern computer power to quickly search for diagnostic patterns within long sequences. An interesting area of application is the nucleosome positioning signals and optimal alphabets in long DNA sequences. The examples focus on period lengths in nucleosome signals and optimal alphabets in herpesviruses and we point out some inconsistencies in established gene segments.KeywordsSpectral AnalysisOptimal ScalingNucleosome Positioning SignalsHerpesvirusesDNA Sequences
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