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A New Method of Wavelet Transform Based on FFT for Signal Processing

In exploration and development of oil and gas engineering, signal processing method based on wavelet transform is very import approach. After analyzing a kind of not-compact-supported (or not all compact-supported) orthogonal wavelet basis, a new method of wavelet transform algorithms based on FFT (Fast Fourier Transform) has been presented in this paper, which does not hurt the transform effect but speed the computing, and help the wavelet transform to be implemented faster for signal processing. Based on the comparison with fast algorithms from many references at home and abroad, we can get better speed and effect. Using it to our project about image processing for mobile application, we have gained very good results, so it can be used generally.