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IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 11/2015, Volume 62, Issue 11, pp. 1083 - 1087
Journal Article
Digital Signal Processing, ISSN 1051-2004, 05/2014, Volume 28, Issue 1, pp. 106 - 119
Among the few existing color watermarking schemes, some use quaternion discrete Fourier transform (QDFT). By modulating at least one component of QDFT... 
Digital image watermarking | Quaternion | Color image | Quaternion discrete Fourier transform | HYPERCOMPLEX | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Algorithms | Fourier transforms | Quaternions | Watermarking | Color | Robustness | Image compression | Channels | Life Sciences | Bioengineering
Journal Article
Proceedings of the IEEE, ISSN 0018-9219, 02/2005, Volume 93, Issue 2, pp. 232 - 275
Journal Article
IEEE Signal Processing Letters, ISSN 1070-9908, 05/2015, Volume 22, Issue 5, pp. 638 - 642
Journal Article
IEEE Journal of Selected Topics in Quantum Electronics, ISSN 1077-260X, 07/2019, Volume 25, Issue 4, pp. 1 - 6
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2813 - 2826
In this paper, we provide a solution to the open problem of computing the Fourier transform of a binary function defined over n-bit vectors taking m-bit vector... 
Additives | Convolution | binary functions | Discrete Fourier transforms | Two-modular Fourier transform | binary groups | group ring | Modules (abstract algebra) | Complexity theory | Fourier transformations | Usage | Research | Chaos theory | Information theory
Journal Article
Signal Processing, ISSN 0165-1684, 04/2015, Volume 109, pp. 269 - 289
The aim of this paper is to present a transform-based framework for color image enhancement which processes all three color components (R,G,B) simultaneously.... 
Discrete quaternion Fourier transform | Alpha-rooting | Image enhancement | Histogram equalization | RETINEX | MASKING | 2-D | CONTRAST ENHANCEMENT | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Algorithms | Analysis | Methods | Fourier transforms | Quaternions | Color | Fourier analysis | Retinex (algorithm) | Channels
Journal Article
Physica Scripta, ISSN 0031-8949, 03/2016, Volume 91, Issue 4, pp. 43008 - 43011
Journal Article
IEEE Signal Processing Magazine, ISSN 1053-5888, 09/2014, Volume 31, Issue 5, pp. 91 - 100
The discrete Fourier transform (DFT) is a fundamental component of numerous computational techniques in signal processing and scientific computing. The most... 
Algorithm design and analysis | Big data | Computational modeling | Sparse matrices | Discrete Fourier transforms | Signal processing algorithms | Fourier transforms | Algorithms | Computation | Data sets | Signal processing | Data processing | Compressed | Joints
Journal Article
Journal of Electronic Imaging, ISSN 1017-9909, 3/2018, Volume 27, Issue 2, pp. 023007 - 023007
Journal Article
Journal of Mathematics and Music, ISSN 1745-9737, 09/2017, Volume 11, Issue 2-3, pp. 76 - 100
This article (being the first chapter of the book Music Through Fourier Space published by Springer International Publishing Switzerland in 2016 and reprinted... 
polynomials | 42A85 | 13A99 | 00A65 | matrices | 42A16 | Fourier coefficients | discrete Fourier transform | music theory | MUSIC | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Fourier transforms | Matrix methods | Modular structures | Complex numbers | Convolution | Algebra | Mathematical analysis | Music | Linear algebra | Eigenvalues | Set theory | Chords (geometry) | Tiling | Mathematics
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 04/2017, Volume 65, Issue 8, pp. 2033 - 2048
Journal Article
Journal of Applied and Industrial Mathematics, ISSN 1990-4789, 1/2017, Volume 11, Issue 1, pp. 40 - 48
We suggest the two new discrete differential sine and cosine Fourier transforms of a complex vector which are based on solving by a finite difference scheme... 
harmonic differential equation | Winograd method | Good–Thomas algorithm | Mathematics, general | Mathematics | fast Fourier transform | discrete Fourier transform | Studies | Fourier transforms | Algorithms | Mathematical analysis | Differential equations | Convolution | Transformations | Trigonometric functions | Finite difference method
Journal Article
Lietuvos matematikos rinkinys, ISSN 0132-2818, 12/2015, Volume 56, Issue A
Using FFT (fast Fourier transform), it is assumed, that some signal samples in a respective period N are updated by a sensor in real time. It is urgent for... 
discrete Fourier transform (DFT) | digital signal processing (DSP)
Journal Article
2016 IEEE International Conference on Image Processing (ICIP), ISSN 1522-4880, 09/2016, Volume 2016-, pp. 1809 - 1812
The discrete Fourier transform is an important tool for processing digital images. Efficient algorithms for computing the Fourier transform are known as fast... 
Hexagonal Sampling | Fast Fourier transforms | Digital images | Discrete Fourier transforms | Image Processing | Discrete Fourier Transform | Array Set Addressing | Fast Fourier Transform | Kernel | Standards
Conference Proceeding
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