On generalized analytic wavelets

A. Zothansanga; Nikhil Khanna; S. K. KaushikDilip Kumar

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On generalized analytic wavelets

机译：On generalized analytic wavelets

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摘要

Gabor proposed the concept of analytic signal, i.e., a complex signal related to a given real signal using the Hilbert transform. In this paper, we generalize the approach of constructing analytic signal by using the fractional Boas transform. We call these analytic signals as the generalized analytic signals. We discuss some important properties of these generalized analytic signals. Also, we define generalized analytic wavelets and give the related convolution and cross-correlation theorems.

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来源
《Iranian Journal of Science》 |2023年第2期|489-500|共12页
作者
A. Zothansanga; Nikhil Khanna; S. K. KaushikDilip Kumar;
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作者单位

Department of Mathematics, University of Delhi, Delhi 110007, India;

Department of Mathematics, College of Science, Sultan Qaboos University, P. O. Box 36, Al-Khod 123, Muscat, Sultanate of Oman;

Department of Mathematics, Kirori Mai College, University of Delhi, Delhi 110007, India;

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正文语种英语
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Hilbert transform; Boas transform; Generalized analytic signal; Generalized analytic operator; Generalized analytic wavelet; Vanishing moments;

On generalized analytic wavelets

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