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Hierarchical structure of cascade of primary and secondary periodicities in Fourier power spectrum of alphoid higher order repeats.

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TLDR
DFT provides a robust detection method for higher order periodicity and is robust with respect to monomer insertions and deletions, random sequence insertions etc.
Abstract
Background Identification of approximate tandem repeats is an important task of broad significance and still remains a challenging problem of computational genomics. Often there is no single best approach to periodicity detection and a combination of different methods may improve the prediction accuracy. Discrete Fourier transform (DFT) has been extensively used to study primary periodicities in DNA sequences. Here we investigate the application of DFT method to identify and study alphoid higher order repeats.

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Coexistence of different base periodicities in prokaryotic genomes as related to DNA curvature, supercoiling, and transcription.

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References
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Journal ArticleDOI

Structure of DNA near long tandem arrays of alpha satellite DNA at the centromere of human chromosome 7

TL;DR: Four phage clones obtained which contain alpha satellite as well as other sequences not usually found associated with tandemly repeated alpha satellite DNA, including L1 repetitive elements, an Alu element, and a novel AT-rich repeated sequence provide a tool for the further study of the DNA from this region of the chromosome.
Journal ArticleDOI

Order and correlations in genomic DNA sequences. The spectral approach

TL;DR: In this paper, the structural analysis of genomic DNA sequences is discussed in the framework of the spectral approach, which is sufficiently universal due to the reciprocal correspondence and mutual complementarity of Fourier transform length scales.
Journal ArticleDOI

Orthogonal, exactly periodic subspace decomposition

TL;DR: The detection and estimation of machine vibration multiperiodic signals of unknown periods in white Gaussian noise is investigated and the concept of exactly periodic signals is introduced.
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Fourier analysis of symbolic data: A brief review

TL;DR: It is shown that it is possible to define the autocorrelation function of symbolic data, assuming only that the authors can compare any two symbols and decide if they are equal or distinct, and another interpretation of the spectrum is given, borrowing from the spectral envelope concept.
Journal ArticleDOI

Detecting periodic patterns in biological sequences.

TL;DR: A new method for finding periodic patterns in biological sequences is presented based on evolutionary distance and 'phase shifts' corresponding to insertions and deletions, which produces a periodic consensus pattern.
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