Frequency-Domain Algorithms for Visual Analysis on Genomic Structures in Prokaryotes

Frequency-domain algorithms are studied to provide the composition of each nucleic acid base simultaneously across numerous frequencies and along the base-positions, through Fourier transformation and color mapping of the bases. And also, composite colored scalograms are constructed by continuous wavelet transformation to provide their individual localized time and periodic energy content in a single figure. The visualization of three-dimensional information in the forms of bases, frequencies and base-positions allows visual analysis of correlated structural and genomic information, which can hardly be obtained from the conventional character string analysis. Significant features of the studied prokaryotic genomes were revealed by the use of the programs developed