نتایج جستجو برای: hilbert transform

تعداد نتایج: 137244  

Journal: :Journal of Mathematical Physics 1994

Journal: :Journal of the Optical Society of America. A, Optics, image science, and vision 2001
K G Larkin D J Bone M A Oldfield

It is widely believed, in the areas of optics, image analysis, and visual perception, that the Hilbert transform does not extend naturally and isotropically beyond one dimension. In some areas of image analysis, this belief has restricted the application of the analytic signal concept to multiple dimensions. We show that, contrary to this view, there is a natural, isotropic, and elegant extensi...

Journal: :SOJ Materials Science & Engineering 2016

Journal: :Proceedings of the American Mathematical Society 1990

Journal: :Proceedings of the National Academy of Sciences 1998

Journal: :Applied and Computational Harmonic Analysis 2013

Journal: :Journal of Biomedical Science and Engineering 2008

Journal: :Advances in Adaptive Data Analysis 2009
Norden E. Huang Zhaohua Wu Steven R. Long Kenneth C. Arnold Xianyao Chen Karin Blank

Instantaneous frequency (IF) is necessary for understanding the detailed mechanisms for nonlinear and nonstationary processes. Historically, IF was computed from analytic signal (AS) through the Hilbert transform. This paper offers an overview of the difficulties involved in using AS, and two new methods to overcome the difficulties for computing IF. The first approach is to compute the quadrat...

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