Title: Macroscopic 1/f behavior of fractal signals generated by additive substitution
Authors: Alieva, T ×
Barbé, André #
Issue Date: Sep-2000
Publisher: Ieee-inst electrical electronics engineers inc
Series Title: IEEE Transactions on information theory vol:46 issue:6 pages:2261-2268
Abstract: We analyze the structure of the discrete Fourier transform of a particular class of self-similar discrete signals which are iteratively generated by an additive substitution procedure, starting from a finite generator sequence. The amplitude spectra of such signals obtained from different generators have a similar form. The amplitude spectrum contains several affine branches, the number of which depends on the iteration level, on the size of the generator, and on the spectrum's symmetry. It has a macroscopic 1/f-characteristic.
ISSN: 0018-9448
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

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