In order to reduce the hidden danger of noise which can be charactered by singularity spectrum, a new algorithm based on wavelet transform modulus maxima method was proposed. Singularity analysis is one of the most pr...In order to reduce the hidden danger of noise which can be charactered by singularity spectrum, a new algorithm based on wavelet transform modulus maxima method was proposed. Singularity analysis is one of the most promising new approaches for extracting noise hidden information from noisy time series . Because of singularity strength is hard to calculate accurately, a wavelet transform modulus maxima method was used to get singularity spectrum. The singularity spectrum of white noise and aluminium interconnection electromigration noise was calculated and analyzed. The experimental results show that the new algorithm is more accurate than tradition estimating algorithm. The proposed method is feasible and efficient.展开更多
A new algorithm for reconstructing a signal from its wavelet transform modulus maxima is presented based on an iterative method for solutions to monotone operator equations in Hilbert spaces. The algorithm's conve...A new algorithm for reconstructing a signal from its wavelet transform modulus maxima is presented based on an iterative method for solutions to monotone operator equations in Hilbert spaces. The algorithm's convergence is proved. Numerical simulations for different types of signals are given. The results indicate that compared with Mallat's alternate projection method, the proposed algorithm is simpler, faster and more effective.展开更多
The location of singularities may be detected by local maxima of the wavelet transform modulus. The digital modeling and focusing process to wavelet transform of the reflecting seismic signals have been done. It has b...The location of singularities may be detected by local maxima of the wavelet transform modulus. The digital modeling and focusing process to wavelet transform of the reflecting seismic signals have been done. It has been found that the locations of singularities after wavelet transform are only affected by two factors, their original locations and the seismic wavelet length, which says it does not matter with what shape the wavelet will be. The wavelet length can be determined according to the wavelet transform results and be eliminated thereafter so that we are able to detect thin bed seismic signal with resolution of l/32 wavelength. The singularities have been recovered with improved resolution of the seismic section by real data processing.展开更多
信号在不同尺度上的小波变换模极大值包含了信号中的重要信息,因此研究如何由小波变换模极大值重构信号是很有意义的.本文提出了一种基于H erm ite插值由二进小波变换模极大值重构信号的快速算法.数值试验表明,与M a llat经典的交替投...信号在不同尺度上的小波变换模极大值包含了信号中的重要信息,因此研究如何由小波变换模极大值重构信号是很有意义的.本文提出了一种基于H erm ite插值由二进小波变换模极大值重构信号的快速算法.数值试验表明,与M a llat经典的交替投影算法相比,本文算法可以在保证信号重构质量的前提下简化计算过程,提高计算效率,计算所需时间与交替投影算法相比大大减少,是一种实用性较强的信号重构算法.展开更多
基金Foundation item: National Natural Science Foundation of China(No.60372072)
文摘In order to reduce the hidden danger of noise which can be charactered by singularity spectrum, a new algorithm based on wavelet transform modulus maxima method was proposed. Singularity analysis is one of the most promising new approaches for extracting noise hidden information from noisy time series . Because of singularity strength is hard to calculate accurately, a wavelet transform modulus maxima method was used to get singularity spectrum. The singularity spectrum of white noise and aluminium interconnection electromigration noise was calculated and analyzed. The experimental results show that the new algorithm is more accurate than tradition estimating algorithm. The proposed method is feasible and efficient.
基金This work was supported by the National Natural Science Foundation of China(Grant No.60272072)the Natural Science Foundation of Xi'an Jiaotong University(Grant No.2001016).
文摘A new algorithm for reconstructing a signal from its wavelet transform modulus maxima is presented based on an iterative method for solutions to monotone operator equations in Hilbert spaces. The algorithm's convergence is proved. Numerical simulations for different types of signals are given. The results indicate that compared with Mallat's alternate projection method, the proposed algorithm is simpler, faster and more effective.
文摘The location of singularities may be detected by local maxima of the wavelet transform modulus. The digital modeling and focusing process to wavelet transform of the reflecting seismic signals have been done. It has been found that the locations of singularities after wavelet transform are only affected by two factors, their original locations and the seismic wavelet length, which says it does not matter with what shape the wavelet will be. The wavelet length can be determined according to the wavelet transform results and be eliminated thereafter so that we are able to detect thin bed seismic signal with resolution of l/32 wavelength. The singularities have been recovered with improved resolution of the seismic section by real data processing.
文摘信号在不同尺度上的小波变换模极大值包含了信号中的重要信息,因此研究如何由小波变换模极大值重构信号是很有意义的.本文提出了一种基于H erm ite插值由二进小波变换模极大值重构信号的快速算法.数值试验表明,与M a llat经典的交替投影算法相比,本文算法可以在保证信号重构质量的前提下简化计算过程,提高计算效率,计算所需时间与交替投影算法相比大大减少,是一种实用性较强的信号重构算法.
