An Introduction to Wavelets
An Introduction to Wavelets
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DOI：
10.1063/1.4823126
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
Lee A. Barford;R. Fazzio;David R. Smith
中科院分区：
文献类型：
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作者：
Lee A. Barford;R. Fazzio;David R. Smith
小波、小波变换、多分辨分析、非平稳信号分析在过去的十年里见证了小波理论及其应用研究的爆炸性增长。理论成就包括为许多不同的函数空间发展新的基，以及紧支撑的正交化小波的刻画。应用领域包括信号处理、图像处理和压缩、数据压缩和量子力学。然而，目前，许多文献仍然是高度数学的，因此，经常需要投入大量时间来发展对小波及其潜在用途的一般理解。因此，本文试图从直观的角度对小波变换进行概述。整篇论文采用信号处理的参照系。
wavelets, wavelet transform, multiresolution analysis, nonstationary signal analysis The past ten years have seen an explosion of research in the theory of wavelets and their applications. Theoretical accomplishments include development of new bases for many different function spaces and the characterization of orthonormal wavelets with compact support. Applications span the fields of signal processing, image processing and compression, data compression, and quantum mechanics. At the present time however, much of the literature remains highly mathematical, and consequently, a large investment of time is often necessary to develop a general understanding of wavelets and their potential uses. This paper thus seeks to provide an overview of the wavelet transform from an intuitive standpoint. Throughout the paper a signal processing frame of reference is adopted.