Abstract
The wavelet analysis is the development based on Fourier transform. And it is a breakthrough of the Fourier analysis. The paper reviews the development history of wavelet analysis. Then it discusses the similarities and differences of Fourier transform and wavelet theory. As a new transform domain signal processing methods, wavelet transform is particularly good at dealing with non-stationary signal analysis. As wavelets are a mathematical tool, they can be used to extract information from many different kinds of data, including - but certainly not limited to - audio signals and images. In the end the paper summarizes and discusses applications of wavelet in various domains in detail.
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References
Zhang, J., Zhang, Q.: The Application of Wavelet Analysis in Intrusion Detect System. Computer Safety, 3 (2009)
Zheng, W., Cui, Y.-l., Wang, F.: Study Summarizing on Image Compression Coding Based the Wavelet Transform. Communication Technology, 83–96 (2008)
Niu, Y.-r.: The Wavelet Analysis and Application Summarizing. Science and Technology Information, 3 (2009)
Wang, H.-s., Zhou, J.-h., Wu, W.-b.: The Application of the Wavelet Analysis in Remote Sensing Images Processing. Remote Information, 1 (2009)
Li, J.-h., Yan, t.-m., Ma, z.: Face Image Processing Based Wavelet Analysis. Metering and Testing Technology, 41 (2009)
Dong, W.-h.: The Realization of Wavelet Analysis in Imaging Compressing Based Matlab. Information Technology, 4 (2009)
Heng, T.: Study on the Wavelet Analysis and Application. Sichuan University Doctor Degree Paper (2003)
Chen, R.-p.: The Wavelet Theory and Application. Hunan Normal University Master Degree Paper (2006)
Yao, T.-r., Sun, H.: Modern Digital Signal Processing. HuaZhong University of Science and Technology Press (1999)
Li, X.-h., Zhang, G.-c., Wang, J.-t.: Watermarking Classified DWT Coefficients Algorithm Based on Blending. Computer Engineering and Applications 46, 139–141 (2010)
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Feng, Hy., Wang, Jp., Li, Yc., Chen, J. (2011). Wavelet Theory and Application Summarizing. In: Liu, B., Chai, C. (eds) Information Computing and Applications. ICICA 2011. Lecture Notes in Computer Science, vol 7030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25255-6_43
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DOI: https://doi.org/10.1007/978-3-642-25255-6_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25254-9
Online ISBN: 978-3-642-25255-6
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