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The Fourier Transform and Its Applications
Abstract
1 Introduction 2 Groundwork 3 Convolution 4 Notation for Some Useful Functions 5 The Impulse Symbol 6 The Basic Theorems 7 Obtaining Transforms 8 The Two Domains 9 Waveforms, Spectra, Filters and Linearity 10 Sampling and Series 11 The Discrete Fourier Transform and the FFT 12 The Discrete Hartley Transform 13 Relatives of the Fourier Transform 14 The Laplace Transform 15 Antennas and Optics 16 Applications in Statistics 17 Random Waveforms and Noise 18 Heat Conduction and Diffusion 19 Dynamic Power Spectra 20 Tables of sinc x, sinc2x, and exp(-71x2) 21 Solutions to Selected Problems 22 Pictorial Dictionary of Fourier Transforms 23 The Life of Joseph Fourier
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Citations
Cited by
Marr, D., & Hildreth, E. (1980) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1980.0020 · Cited by 6,510
Image registration methods: a survey
Zitová, B., & Flusser, J. (2003) · Image and Vision Computing · doi:10.1016/s0262-8856(03)00137-9 · Cited by 6,423
Relations between the statistics of natural images and the response properties of cortical cells
Field, D. J. (1987) · Journal of the Optical Society of America A · doi:10.1364/josaa.4.002379 · Cited by 3,241
Optimizing Spatial filters for Robust EEG Single-Trial Analysis
Blankertz, B., Tomioka, R., Lemm, S., Kawanabe, M., & Muller, K.-R. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2008.4408441 · Cited by 2,080
Multichannel texture analysis using localized spatial filters
Bovik, A. C., Clark, M., & Geisler, W. S. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.41384 · Cited by 1,382
Metadata
- Authors
- Bracewell, R., & Kahn, P. B.
- Venue
- American Journal of Physics
- Published
- 1966-08-01
- Volume
- 34
- Issue
- 8
- Pages
- 712-712
- ISSN
- 0002-9505 (ISSN-L)
- 1943-2909
- OpenAlex
- W2105672294
- Cited by
- 5,737
- References
- 0
- FWCI
- 21.25
- Type
- journal article
- Language
- en
- Open access
- closed
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