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Transactions: WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS
Transactions ID Number: 31-312
Full Name: Zuojin Li
Position: Assistant Professor
Age: ON
Sex: Male
Address: College of Automation Chongqing University No.174, Shazheng Street, Shapingba District, Chongqing
Country: CHINA
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E-mail address: lizuojin110@tom.com
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Title of the Paper: New Correlation Analysis Method for Nonstationary Signal
Authors as they appear in the Paper: zuojin li,weiren shi,kai wang,xiaowei sun
Email addresses of all the authors: lizuojin110@tom.com,swr@edu.cqu.cn,sky@163.com,20071301008@edu.cqu.cn
Number of paper pages: 11
Abstract: This paper proposes a new correlation analysis method for nonstationary and energy-limited continual signals, which works out a formula similar to time correlation theory; that is to say when the operator, , meets a certain condition, its auto-correlation property of Fourier transform can be presented by Fourier transform of its energy function, , revealing its correlation of the Fourier transform coefficients of frequency interval, . It proves that the Parseval identical equation is the special case happening when . The above conclusion explains the theory of image compressing and noise removing through wavelet transform.
Keywords: Operator, Energy function, Wavelet transform, Correlation function, Image process
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