中文说明： 完整的基于HMM的语音识别系统，正确率可以达到98％，微分方程组数值解方法，基于混沌的模拟退火算法，wolf 方法计算李雅普诺夫指数,这是一个好用的频偏估计算法的matlab仿真程序。
English Description：
Full HMM based speech recognition system, with an accuracy rate can reach 98%, numerical solution of differential equations, based on chaotic simulated annealing algorithm, Wolf method to calculate the Lyapunov exponent, which is a frequency offset estimation algorithm for use of MATLAB simulation program.