Any fractional order bionic neural-type pulse oscillator

First, the paper studies an efficient numerical algorithm for signal´s fractional calculus and wavelet transform. It studies Grumwald-Letnikov definition for fractional calculus. Then it dissertates a numerical algorithm for signal´s fractional calculus based on Grumwald-Letnikov definition. It studies the relationship between the fractional calculus and wavelet transform. Then it dissertates an efficient numerical algorithm for signal´s fractional calculus based on wavelet transform. Last, the paper puts forward and analyzes how to implement any fractional order bionic neural-type pulse oscillator by efficient numerical algorithm for signal´s fractional calculus. By computer simulation, the fractional order bionic neural-type pulse wave accurately simulates actual biology neural-type pulse wave´s shape characteristic by and large