The brief theories of wavelet analysis and Hilbert-Huang transform (HHT) are introduced firstly in the present paper. Then several signal data were analyzed by using wavelet and HHT methods, respectively. The comparis...The brief theories of wavelet analysis and Hilbert-Huang transform (HHT) are introduced firstly in the present paper. Then several signal data were analyzed by using wavelet and HHT methods, respectively. The comparison shows that HHT is not only an effective method for analyzing non-stationary data, but also is a useful tool for examining detailed characters of time history signal.展开更多
A kind of mother wavelet with good properties is constructed for any N greater than or equal to 2, which is differentiable for N times, converges to Zero at the order of O( I t I-N)( t --> infinity) and has N - 2 o...A kind of mother wavelet with good properties is constructed for any N greater than or equal to 2, which is differentiable for N times, converges to Zero at the order of O( I t I-N)( t --> infinity) and has N - 2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N = 4 is also given.展开更多
基金State Natural Science Foundation of China (50178055).
文摘The brief theories of wavelet analysis and Hilbert-Huang transform (HHT) are introduced firstly in the present paper. Then several signal data were analyzed by using wavelet and HHT methods, respectively. The comparison shows that HHT is not only an effective method for analyzing non-stationary data, but also is a useful tool for examining detailed characters of time history signal.
文摘A kind of mother wavelet with good properties is constructed for any N greater than or equal to 2, which is differentiable for N times, converges to Zero at the order of O( I t I-N)( t --> infinity) and has N - 2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N = 4 is also given.
