Finite affine groups are given by groups of translations and di- lations on finite cyclic groups. For cyclic groups of prime order we develop a time-scale (wavelet) analysis and show that for a large class of non-zero window signals/vectors, the generated full cyclic wavelet system constitutes a frame whose canonical dual is a cyclic wavelet frame.

Graphs are a prevalent tool in data science, as they model the inherent structure of the data. They have been used successfully in unsupervised and semi-supervised learning. Typically they are constructed either by connecting nearest samples, or by learning them from data, solving an optimization problem. While graph learning does achieve a better quality, it also comes with a higher computatio...

Complex representations of the nucleotides, codons and amino acids derived from the projection of the Genetic Code Tetrahedron on adequately oriented planes are presented. By converting the sequences of nucleotides and polypeptides into digital genomic signals, this approach o2ers the possibility of using signal processing methods for the analysis of genomic information. New tools for genomic s...

Significance The southern Amazon is one of the fastest changing places on Earth. Deforestation giving place to a dynamic and diverse landscape, comprising small-scale farmers large-scale commercial agriculture with differing land uses. Understanding how these different uses affect ecosystems local climates essential for promoting strategies mitigate environmental changes. Here, we show that lea...