The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Interpolation Algorithms for Discrete Fourier Transforms of Weighted Signals
Abstract
A new scheme is presented for the determination of the parameters that characterize a multifrequency signal. The essential innovation is that the signal is weighted before the discrete Fourier transform (DFT) is calculated from which the frequencies and complex amplitudes of the various components of the signal are obtained by interpolation. It is shown that by using the Hanning window for tapering substantial improvements are achieved in the following respects: i) more accurate results are obtained for interpolated frequencies, etc., ii) harmonic interference is much less troublesome even if many tones with comparable strengths are present in the spectrum, iii) nonperiodic signals can be handled without an a priori knowledge of the tone frequencies. The stability of the new method with respect to noise and arithmetic roundoff errors is carefully examined.
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Citations
Cites
On the use of windows for harmonic analysis with the discrete Fourier transform
Harris, F. J. (1978) · Proceedings of the IEEE · doi:10.1109/proc.1978.10837 · Cited by 7,326
Spectral Analysis and its Applications.
Freiberger, W. F., Jenkins, G. M., & Watts, D. G. (1969) · Journal of the American Statistical Association · doi:10.2307/2286100 · Cited by 4,981
The Fourier Transform and its Applications
Cattermole, K. W. (1965) · Electronics and Power · doi:10.1049/ep.1965.0268 · Cited by 1,417
Bennett, W. R. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01340.x · Cited by 970
High-Accuracy Analog Measurements via Interpolated FFT
Jain, V. K., Collins, W. L., & Davis, D. C. (1979) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.1979.4314779 · Cited by 434
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
Calculation of narrow-band spectra by direct decimation
Liu, B., & Mintzer, F. (1978) · IEEE Transactions on Acoustics Speech and Signal Processing · doi:10.1109/tassp.1978.1163156 · Cited by 27
Cited by
The algorithm of interpolating windowed FFT for harmonic analysis of electric power system
Zhang, F., Geng, Z., & Yuan, W. (2001) · IEEE Transactions on Power Delivery · doi:10.1109/61.915476 · Cited by 300
Neural signatures of response planning occur midway through an incoming question in conversation
Bögels, S., Magyari, L., & Levinson, S. C. (2015) · Scientific Reports · doi:10.1038/srep12881 · Cited by 193
Bögels, S., Casillas, M., & Levinson, S. C. (2018) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2017.12.028 · Cited by 55
Metadata
- Authors
- Grandke, T.
- Venue
- IEEE Transactions on Instrumentation and Measurement
- Published
- 1983-06
- Volume
- 32
- Issue
- 2
- Pages
- 350-355
- ISSN
- 0018-9456 (ISSN-L)
- OpenAlex
- W2058415695
- Cited by
- 461
- References
- 7
- FWCI
- 0.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- Grandke, T. (1983). Interpolation Algorithms for Discrete Fourier Transforms of Weighted Signals. IEEE Transactions on Instrumentation and Measurement. https://doi.org/10.1109/tim.1983.4315077
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