New Correlation Analysis Method for Nonstationary Signal
نویسندگان
چکیده
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, f 2 ) ( t f , revealing its correlation of the Fourier transform coefficients of frequency interval, ω . It proves that the Parseval identical equation is the special case happening when 0 = ω . The above conclusion explains the theory of image compressing and noise removing through wavelet transform. Key-Words: operator, energy function, wavelet transform, correlation function, image process a correlation analysis to nonstationary, energylimited and power-limited signals, revealing their relations with time correlation theory. Literature [12] [13] prove that wavelet transform can reduce correlation and enhance the convergence speed of noise-removing algorithm, but theoretical explanations are not given. This paper conducts mathematic deduction to reach a conclusion similar
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