منابع مشابه
Computation of Hilbert Transform via Discrete Cosine Transform
Hilbert transform (HT) is an important tool in constructing analytic signals for various purposes, such as envelope and instantaneous frequency analysis, amplitude modulation, shift invariant wavelet analysis and Hilbert-Huang decomposition. In this work we introduce a method for computation of HT based on the discrete cosine transform (DCT). We show that the Hilbert transformed signal can be o...
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In this paper, we propose a novel framework to represent visual information. Extending the notion of conventional image-based rendering, our framework makes joint use of both light fields and holograms as complementary representations. We demonstrate how light fields can be transformed into holograms, and vice versa. By exploiting the advantages of either representation, our proposed dual repre...
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The Hilbert Transform (HT) and its properties, applied to the analysis of linear and non-linear vibrations, are discussed at great length in [1]. The application of the HT to a signal provides some additional information about amplitude, instantaneous phase and vibration frequency. This information is valid when applied to the analysis of non-linear vibration motions [2]. Moreover, it has been ...
متن کاملSampled fourier transform hologram generated by computer.
A technique to determine a real nonnegative function representing the transmittance of a synthesized hologram is described. The technique uses the positions of the samples in the synthesized hologram to record the phase information of a complex wavefront. Synthesized holograms are displayed on a flying spot scanner and recorded on film. The transmittance of the synthesized hologram is quantized...
متن کاملDiscrete Fractional Hilbert Transform
The Hilbert transform plays an important role in the theory and practice of signal processing. A generalization of the Hilbert transform, the fractional Hilbert transform, was recently proposed, and it presents physical interpretation in the definition. In this paper, we develop the discrete fractional Hilbert transform, and apply the proposed discrete fractional Hilbert transform to the edge d...
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ژورنال
عنوان ژورنال: OSA Continuum
سال: 2020
ISSN: 2578-7519
DOI: 10.1364/osac.395003