Design of Approximate Tight Wavelet Frames Using Gabor Wavelet

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  • Gabor Waveletを用いた近似タイトウェーブレットフレームの設計

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The continuous wavelet transform using Gabor wavelet is well known as a high-precision tool for time-frequency analysis. However, its calculation amount is very large, and generally, its practical calculation is discretized depending on experience. In this paper, we consider the discretization method for Gabor wavelet, and propose some approximate tight wavelet frames using Gabor wavelet. In addition, we propose how to thin the wavelets in the continuous wavelet transform using Gabor wavelet and obtained the encouraging results.

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