Article

Quaternion Spectral Fingerprinting of DNA: GPU-Accelerated Multi-Channel Fourier Analysis for Alignment-Free Genomics

2026-04-09

Abstract excerpt

Spectral methods for DNA sequence analysis—treating genomic data as a discrete signal and computing its Fourier transform—were proposed over three decades ago but remained impractical for whole-genome analysis due to computational cost. We present a quaternion Fourier transform framework that encodes DNA as a quaternion-valued signal q [ n ] ∈ {1, i, j, k } mapping to the four nucleotides {A, T, G, C} , and pr...

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Literature Corpus work: bad31d52-9efc-502b-9d34-a6052bde753b
DOI: 10.64898/2026.04.03.716441

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