A Note on the Orthogonalization of Real-valued Trigonometrical Basis Functions

R. J. Cintra

A Note on the Orthogonalization of Real-valued Trigonometrical Basis Functions

Signal Processing 2026-06-28 v1

Authors: R. J. Cintra

Abstract

Adopting an intuitive approach, this letter shows the derivation of three orthogonal real matrices based on the Fourier matrix. Only elementary methods are employed.

Keywords

正交化傅里叶矩阵实值三角函数基函数矩阵

Cite

@article{arxiv.2607.06571,
  title  = {A Note on the Orthogonalization of Real-valued Trigonometrical Basis Functions},
  author = {R. J. Cintra},
  journal= {arXiv preprint arXiv:2607.06571},
  year   = {2026}
}

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18 pages