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Frequency content and autocorrelation function of noisy periodic signals

2003/05/08 by D. Villani, Villani, D., R. M. Ghigliazza +4
Computer Science · Engineering · Physics and Astronomy · #Advanced Measurement and Detection Methods #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Image and Signal Denoising Methods #Structural Health Monitoring Techniques #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/0305146

8 pages, 3 figures. Key words: Fourier Transform, Incommensurate Lattices

arxiv created 2003/05/08 · openalex publication_date 2003/05/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extract the frequency content of a noisy signal by use of Discrete Fourier Transform. Our analysis overcomes the limitations imposed by incommensurate lattices. After computing the deterministic component, we show the relevance of the method in removing spurious autocorrelations from the signal residuals. Results are presented for a temperature time series.

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