The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
A unified approach to short-time Fourier analysis and synthesis
Abstract
Two distinct methods for synthesizing a signal from its short-time Fourier transform have previously been proposed. We call these methods the filter-bank summation (FBS) method and the overlap add (OLA) method. Each of these synthesis techniques has unique advantages and disadvantages in various applications due to the way in which the signal is reconstructed. In this paper we unify the ideas behind the two synthesis techniques and discuss the similarities and differences between these methods. In particular, we explicitly show the effects of modifications made to the short-time transform (both fixed and time-varying modifications are considered) on the resulting signal and discuss applications where each of the techniques would be most useful The interesting case of nonlinear modifications (possibly signal dependent) to the short-time Fourier transform is also discussed. Finally it is shown that a formal duality exists between the two synthesis methods based on the properties of the window used for obtaining the short-time Fourier transform.
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Citations
Cites
The Fourier integral and its applications
Papoulis, A. (1962) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,650
Short term spectral analysis, synthesis, and modification by discrete Fourier transform
Allen, J. (1977) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/tassp.1977.1162950 · Cited by 1,051
Self-citationFlanagan, J. L., & Golden, R. M. (1966) · Bell System Technical Journal · Cited by 348
Implementation of the digital phase vocoder using the fast Fourier transform
Portnoff, M. (1976) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/tassp.1976.1162810 · Cited by 213
Design and simulation of a speech analysis-synthesis system based on short-time Fourier analysis
Schafer, R. W., & Rabiner, L. R. (1973) · IEEE Transactions on Audio and Electroacoustics · doi:10.1109/tau.1973.1162474 · Cited by 110
Self-citationSpeech spectrograms using the fast Fourier transform
Oppenheim, A. V. (1970) · IEEE Spectrum · doi:10.1109/mspec.1970.5213512 · Cited by 109
Fast Fourier transform method of computing difference equations and simulating filters
Helms, H. D. (1967) · IEEE Transactions on Audio and Electroacoustics · doi:10.1109/tau.1967.1161905 · Cited by 109
Design of Digital Filter Banks for Speech Analysis
Schafer, R. W., & Rabiner, L. R. (1971) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1971.tb01848.x · Cited by 32
Self-citationFIR Digital Filter Banks for Speech Analysis
Schafer, R. W., Rabiner, L. R., & Herrmann, O. (1975) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1975.tb02854.x · Cited by 27
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Dragomiretskiy, K., & Zosso, D. (2014) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2288675 · Cited by 9,184
Auger, F., & Flandrin, P. (1995) · IEEE Transactions on Signal Processing · doi:10.1109/78.382394 · Cited by 1,500
Dictionaries for Sparse Representation Modeling
Rubinstein, R., Bruckstein, A. M., & Elad, M. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2010.2040551 · Cited by 1,306
Pitch-synchronous waveform processing techniques for text-to-speech synthesis using diphones
Moulines, E., & Charpentier, F. (1990) · Speech Communication · doi:10.1016/0167-6393(90)90021-z · Cited by 1,244
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Metadata
- Authors
- Allen, J. B., & Rabiner, L. R.
- Venue
- Proceedings of the IEEE
- Published
- 1977
- Volume
- 65
- Issue
- 11
- Pages
- 1558-1564
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2115144768
- Cited by
- 1,046
- References
- 9
- FWCI
- 9.09
- Type
- journal article
- Language
- en
- Open access
- closed
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