An Anthology of Byzantine Prose (Kleine Texte Für Vorlesungen Und Übungen)

For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented. The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level. Introduction Abbreviations Cosmas Indicopleustes Procopius Agathias Ioannes Malalas Ioannes Moschos Theophanes the confessor Methodios Photius Constantine VII Porphyrogenitus Ioannes Mauropous Michael Psellos Cecaumenos Anna Comnena Eustathius Michael Choniates Timarion Georgios Acropolites Theodoros Lascaris Maximos Planudes Theodoros Metochites Nicephorus Gregoras Manuel II Bessarion Ducas