Lanczos Filtering in One and Two Dimensions

1979/08/01 by Claude E. Duchon · 2,427 citations
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Combinatorics #Computer science #Cutoff #Digital filter #Dimension (graph theory) #Eigenvalues and eigenvectors #Feature (linguistics) #Filter (signal processing) #Lanczos resampling #Mathematics #Physics #Scientific Research and Discoveries #Sensor Technology and Measurement Systems #Underwater Acoustics Research

paper · pdf · doi:10.1175/1520-0450(1979)018<1016:lfioat>2.0.co;2

published in Journal of applied meteorology 18(8), 1016-1022 (American Meteorological Society)

openalex publication_date 1979/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A Fourier method of filtering digital data called Lanczos filtering is described. Its principal feature is the use of “sigma factors” which significantly reduce the amplitude of the Gibbs oscillation. A pair of graphs is developed that can be used to determine filter response quality given the number of weights and the value of the cutoff frequency, the only two inputs required by the method. Examples of response functions in one and two dimensions are given and comparisons are made with response functions from other filters. The simplicity of calculating the weights and the adequate response make Lanczos filtering an attractive filtering method.

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