Maximizing the SNR of DNA Spectrum for Coding Sequence Identification

By properly mapping a DNA sequence into one or more signals, the energy spectrum of DNA sequences can reveal standard periodicities, in particular, a periodicity of three bases, to characterize coding and regions. In this sense, we propose a new method for spectral analysis for coding sequence discrimination. The method consists in defining a mapping for a given DNA sequence whose SNR of its spectrum is maximized subject to the spectral entropy constraint being greater than zero. Finally, we show that our method not only improves the coding sequence discrimination rate but also improves the SNR and spectral entropy even for those coding sequences that there are no periodicity of three bases.