Genomic signal analysis

The paper reviews the conversion of symbolic DNA sequences into complex genomic signals and presents some new results in the phase and fractal analyses of genomic signals. Long-range correlations in the first and second order statistics, extending over distances of hundreds of thousands - to tens of millions of base pairs, i.e., up to the scale of whole chromosomes, have been identified by phase analysis. It is inferred that these features have a functional role in the control of crossing-over and in species separation. The long range correlations can also be seen in a fractal-like structure of the genomic signals. Fractal dimensions of about 1.1 have been found for the cumulated phase genomic signals.