A novel approach for defining a Hilbert number transform

DOI10.1007/s00034-021-01834-2zbMath1509.94008OpenAlexW3203512015MaRDI QIDQ6046505

Ricardo M. Campello de Souza, Juliano B. Lima, Marcos A. A. Gondim

Publication date: 11 May 2023

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-021-01834-2

zbMATH Keywords

number-theoretic Hilbert transformsteerable transformsFourier number transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Polynomials over finite fields (11T06) Numerical methods for trigonometric approximation and interpolation (65T40) Application of orthogonal and other special functions (94A11)

Cites Work

• Finite field trigonometric transforms
• The discrete finite Hilbert transform
• Fractional Fourier, Hartley, cosine and sine number-theoretic transforms based on matrix functions
• Fast Algorithms for Signal Processing
• The use of finite fields to compute convolutions
• Algorithm for linear convolution using number theoretic transforms
• The Fast Fourier Transform in a Finite Field
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