Vectors of Shannon Information from Fourier Signals Characterizing Base Periodicity in Genes and Genomes

Equal Symbol Fourier Transforms (FTES), characterizing nucleotide periodicity, comprise components of 5-D vectors that define base-repeat properties of a genomic sequence. This report describes a conversion of the FTES signals to a common platform of Shannon information content to facilitate comparisons of periodic data with other measures of information for genes and genomes. The autocorrelation used to compute the discrete FTES formed the basis to define repeating bases in terms of conditional probabilities. We derived a vector equation to express the Shannon information content of a sequence in a way that preserves the distinct specificity of base repeat patterns characterized by FTES vectors. We suggest application of such information vectors to study the structure of information in genes, chromosomes, and genomes by χ2 comparisons.