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Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
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edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
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edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Envelope detection using generalized analytic signal in 2D QLCT domains Journal article
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2017,Volume: 28,Issue: 4,Page: 1343-1366
Authors:  Kou, Kit Ian;  Liu, Ming-Sheng;  Pedro Morais, Joao;  Zou, Cuiming
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Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Hilbert Transform  Analytic Signal  Instantaneous Amplitude  
Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives Journal article
Mathematical Methods in the Applied Sciences, 2015,Volume: 38,Issue: 13,Page: 2719-2730
Authors:  Liu M.;  Kou K.I.;  Morais J.;  Dang P.
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Amplitude-phase Representation Of Signal  Hardy-sobolev Space  Hilbert Transform  Instantaneous Frequency  Short-time Fourier Transform  Signal Moment  
Sharper uncertainty principles for the windowed Fourier transform Journal article
Journal of Modern Optics, 2015,Volume: 62,Issue: 1,Page: 46-55
Authors:  Liu M.-S.;  Kou K.I.;  Morais J.;  Dang P.
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Amplitude-phase Representation Of Signal  Hardy-sobolev Space  Heisenberg's Uncertainty Principle  Instantaneous Frequency  Signal Moment  Windowed Fourier Transform  
Hardy–Sobolev derivatives of phase andamplitude, and their applications Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 17,Page: 2017–2030
Authors:  Pei Dang;  Tao Qian;  Yan Yang
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Amplitude-phase Representation Of Signal  Derivatives Of Phase Andamplitude  Sobolev Space  Hardy Space  Hilbert Transform  Instantaneous Frequency  
An application of entire function theory to analytic signals Journal article
Journal of Mathematical Analysis and Applications, 2012,Volume: 389,Issue: 1,Page: 54-57
Authors:  Deng G.-T.;  Qian T.
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Analytic Signal  Entire Function  Hardy Space  Mono-component  Phase  
Analytic phase derivatives, all-pass filters and signals of minimum phase Journal article
IEEE Transactions on Signal Processing, 2011,Volume: 59,Issue: 10,Page: 4708
Authors:  Dang P.;  Qian T.
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All-pass Filter  Amplitude-phase Representation Of Signal  Analytic Signal  Blaschke Product  Hardy Space  Hardy-sobolev Space  Hilbert Transform  Inner Function  Instantaneous Frequency  Minimum Phase Signal  Outer Function  
Hardy-Sobolev Spaces Decomposition in Signal Analysis Journal article
Journal of Fourier Analysis and Applications, 2011,Volume: 17,Issue: 1,Page: 36
Authors:  Dang P.;  Qian T.;  You Z.
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Amplitude-phase Representation Of Signal  Covariance  Hardy Space  Hardy-sobolev Space  Hilbert Transform  Mean Of Frequency  Mean Of Time  Phase Derivative  Sobolev Space  Uncertainty Principle