The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A fixed-point fast Fourier transform error analysis
Abstract
This paper contains an analysis of the fixed-point accuracy of the power of two, fast Fourier transform algorithm. This analysis leads to approximate upper and lower bounds on the root-mean-square error. Also included are the results of some accuracy experiments on a simulated fixed-point machine and their comparison with the error upper bound.
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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
Cited by
Effects of finite register length in digital filtering and the fast Fourier transform
Oppenheim, A. V., & Weinstein, C. J. (1972) · Proceedings of the IEEE · doi:10.1109/proc.1972.8820 · Cited by 305
FPT: A Fixed-Point Accelerator for Torus Fully Homomorphic Encryption
Van Beirendonck, M., D'Anvers, J.-P., Turan, F., & Verbauwhede, I. (2023) · Proceedings of the 2023 ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/3576915.3623159 · Cited by 38
Metadata
- Authors
- Welch, P.
- Venue
- IEEE Transactions on Audio and Electroacoustics
- Published
- 1969-06
- Volume
- 17
- Issue
- 2
- Pages
- 151-157
- ISSN
- 0018-9278 (ISSN-L)
- OpenAlex
- W2027237622
- Cited by
- 163
- References
- 1
- FWCI
- 6.28
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A fixed-point fast Fourier transform error analysis. https://app.cochat.ai/papers/10.1109/tau.1969.1162035
- The paper
- Welch, P. (1969). A fixed-point fast Fourier transform error analysis. IEEE Transactions on Audio and Electroacoustics. https://doi.org/10.1109/tau.1969.1162035
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
