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Wavelet analysis of DNA sequences

In this paper, the discrete wavelet transform, the complex wavelet transform, and the wavelet packet transform are applied to denoise G and C binary indicator-type of DNA sequences derived from both the Voss representation and the Z curve representation. The technique aims to reveal coding and non-coding regions of genes in a DNA sequence. DNA sequences of four selected model organisms including a model plant: Arabidopsis thaliana; a model vertebrate: Rattus norvegicus (a rat); two model invertebrates: Caenorhabditis elegans (a worm), and Drosophila melanogaster (a fruit fly) are used in the simulations to verify the effectiveness of the technique.