Signal Analysis by New Mother Wavelets |
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Authors: | NIU Jin-Bo FAN Hong-Yi QI Kai-Guo |
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Institution: | 1.Department of Physics, University of Science and Technology of China, Hefei 230026, China
;2.Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract: | Based on the general formula for finding qualified mother wavelets Opt. Lett. 31 (2006) 407] we make wavelet transforms computed with the newly found mother wavelets (characteristic of the power (2n) for some optical Gaussian pulses, which exhibit the ability to measure frequency of the pulse more precisely and clearly. Wealso work with complex mother wavelets composed of new real mother wavelets, which offer the ability of obtaining phase information of the pulse as well as amplitude information. The analogy between the behavior of Hermite-Gauss beams and that of new wavelet transforms is noticed. |
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Keywords: | mother wavelet complex Mexican Hermit-Gauss |
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