The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
What is the fast Fourier transform?
Abstract
The fast Fourier transform is a computational tool which facilitates signal analysis such as power spectrum analysis and filter simulation by means of digital computers. It is a method for efficiently computing the discrete Fourier transform of a series of data samples (referred to as a time series). In this paper, the discrete Fourier transform of a time series is defined, some of its properties are discussed, the associated fast method (fast Fourier transform) for computing this transform is derived, and some of the computational aspects of the method are presented. Examples are included to demonstrate the concepts involved.
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Citations
Cites
An algorithm for the machine calculation of complex Fourier series
Cooley, J. W., & Tukey, J. W. (1965) · Mathematics of Computation · doi:10.1090/s0025-5718-1965-0178586-1 · Cited by 13,154
Self-citation
Cited by
A linear filtering approach to the computation of discrete Fourier transform
Bluestein, L. (1970) · IEEE Transactions on Audio and Electroacoustics · doi:10.1109/tau.1970.1162132 · Cited by 462
Interoception is associated with heartbeat-evoked brain potentials (HEPs) in adolescents
Mai, S., Wong, C. K., Georgiou, E., & Pollatos, O. (2018) · Biological Psychology · doi:10.1016/j.biopsycho.2018.06.007 · Cited by 69
MBOSS: A Symbolic Representation of Human Activity Recognition Using Mobile Sensors
Montero Quispe, K. G., Sousa Lima, W., Macêdo Batista, D., & Souto, E. (2018) · Sensors · doi:10.3390/s18124354 · Cited by 24
Nam, W., Youn, T., & Ha, C. (2025) · Vehicles · doi:10.3390/vehicles7010008 · Cited by 9
Metadata
- Authors
- Cochran, W. T., Cooley, J. W., Favin, D. L., Helms, H. D., Kaenel, R. A., Lang, W. W., Maling, G. C., Nelson, D. E., Rader, C. M., & Welch, P. D.
- Venue
- Proceedings of the IEEE
- Published
- 1967
- Volume
- 55
- Issue
- 10
- Pages
- 1664-1674
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2047188941
- Cited by
- 493
- References
- 1
- FWCI
- 13.99
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cochran, W. T., Cooley, J. W., Favin, D. L., Helms, H. D., Kaenel, R. A., Lang, W. W., Maling, G. C., Nelson, D. E., Rader, C. M., & Welch, P. D. (1967). What is the fast Fourier transform? Proceedings of the IEEE. https://doi.org/10.1109/proc.1967.5957
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