The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Modern techniques of power spectrum estimation
Abstract
The paper discusses the impact of the fast Fourier transform on the spectrum of time series analysis. It is shown that the computationally fastest way to calculate mean lagged products is to begin by calculating all Fourier coefficients with a fast Fourier transform and then to fast-Fourier-retransform a sequence made up ofa_{k}^{2}+b_{k}^{2}(wherea_{k}+ib_{k}are the complex Fourier coefficients). Also discussed are raw and modified Fourier periodograms, bandwidth versus stability aspects, and aims and computational approaches to complex demodulation. Appendixes include a glossary, a review of complex demodulation without fast Fourier transform, and a short explanation of the fast Fourier transform.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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 Computational Approach to Edge Detection
Canny, J. (1986) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1986.4767851 · Cited by 30,004
Wollnik, F., & Döhler, K.-D. (1986) · Physiology & Behavior · doi:10.1016/0031-9384(86)90158-7 · Cited by 39
Metadata
- Authors
- Bingham, C., Godfrey, M., & Tukey, J.
- Venue
- IEEE Transactions on Audio and Electroacoustics
- Published
- 1967-06
- Volume
- 15
- Issue
- 2
- Pages
- 56-66
- ISSN
- 0018-9278 (ISSN-L)
- OpenAlex
- W2133296492
- Cited by
- 426
- References
- 1
- FWCI
- 14.96
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Modern techniques of power spectrum estimation. https://app.cochat.ai/papers/10.1109/tau.1967.1161895
- The paper
- Bingham, C., Godfrey, M., & Tukey, J. (1967). Modern techniques of power spectrum estimation. IEEE Transactions on Audio and Electroacoustics. https://doi.org/10.1109/tau.1967.1161895
Data sources
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.
