Spectral and affine fractal methods in signal processing
María Antonia Navascués, María Victoria Sebastián · International Mathematical Forum · 2006
Fourier expansions display the spectral content of a signal and pro-vide explicit representations in time and frequency domains. In this paper, we define trigonometric approximants of a real sampled signal by means of fractal techniques. The construction allows us to obtain, under some hypotheses, exact relations between the discrete power spec-trum of a signal and its fractal dimension. In the last part of the paper, an electroencephalographic application is described.