On the use of windows for harmonic analysis with the discrete Fourier transform

1978/01/01 by F.J. Harris · 7,226 citations
Computer Science · Engineering · Mathematics · #Acoustics #Advanced Electrical Measurement Techniques #Algorithm #Amplitude #Artificial intelligence #Computer science #Digital Filter Design and Implementation #Discrete Fourier transform (general) #Electronic engineering #Engineering #Fast Fourier transform #Fourier analysis #Fourier transform #Harmonic #Harmonic analysis #Image and Signal Denoising Methods #Interference (communication) #Mathematical analysis #Mathematics #Noise (video) #Optics #Physics #Short-time Fourier transform #Telecommunications

paper · doi:10.1109/proc.1978.10837

published in Proceedings of the IEEE 66(1), 51-83 (Institute of Electrical and Electronics Engineers)

openalex publication_date 1978/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

This paper makes available a concise review of data windows and their affect on the detection of harmonic signals in the presence of broad-band noise, and in the presence of nearby strong harmonic interference. We also call attention to a number of common errors in the application of windows when used with the fast Fourier transform. This paper includes a comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared. Finally, an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.

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