Research On Application Of Fractional Calculus To Latest Signal Analysis And Processing

The dissertation mainly concerns the application of fractional calculus to modern signal analysis and processing.In the first, it discusses the fundamental theory for ascertaining of scale sample step in implementing the numerical value of the continuous wavelet transform. And it demonstrates the optimal scale-sampling step value of even or odd symmetric analytical mother wave for all phases Gauss function's differential coefficients and Morlet mother wave in its numerical implementing when even dot-grid sampling is adopted, under two occasions when the highest frequency is or lower thanπ. Especially, it analyzes the optical scale-sampling step of Mexico Cap mother wave. In addition, it discusses the time parallel move in implementing odd symmetric analytical mother wave, and the fluctuant of accordingly digital filter of even or odd symmetric analytical mother wave for all phases Gauss's differential coefficient. Then it puts the results of even dot-grid sampling to binary one and binary spot-check sampling. The paper describes the geometrical relationship of signal time and scanning time in continuous wavelet transform, and its best value range for...