caa a22 4500 477140521 CHVBK 20180405111731.0 cr unu---uuuuu 170330e19971101xx s 000 0 eng 10.1007/s002850050090 doi (NATIONALLICENCE)springer-10.1007/s002850050090 Coward Eivind Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7034 Trondheim, Norway e-mail: eivindc@math.ntnu.no, NO aut Equivalence of two Fourier methods for biological sequences [Elektronische Daten] [Eivind Coward] Abstract.:  Two methods for defining Fourier power spectra for DNA sequences or other biological sequences are compared. The first method uses indicator sequences for each letter. The second method by Silverman and Linsker assigns to each letter a vertex of a regular tetrahedron in space, and this can be generalized to any dimension. While giving different Fourier transforms, it is shown that the power spectra of the two methods are essentially the same. This is also true if one replaces the Fourier transform in both methods with another linear transform, such as the Walsh transform. Springer-Verlag Berlin Heidelberg, 1997 Key words: DNA sequences nationallicence Periodicity nationallicence Fourier and Walsh spectral analysis nationallicence https://doi.org/10.1007/s002850050090 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002850050090 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Coward Eivind Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7034 Trondheim, Norway e-mail: eivindc@math.ntnu.no, NO aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer