声波信号抛物线拟合与插值

Fitting and Interpolating of Parabola to Sonic Signal.

曲线拟合主要采用最小二乘法原则进行函数模型逼近 ,一般选用多项式拟合法。插值方法与拟合方法类似 ,只是在插值中要求曲线必须通过所有已知点。声波信号一般呈抛物线变化形式 ,因此利用抛物线方法进行拟合与插值能够达到满意的效果。文章阐述了拟合、插值方法的原理和应用。实际声波信号处理表明 ,采用抛物线拟合和插值方法是切实可行的。

The curve fitting mainly usese least square method to approach the function models. Commonly the polynomial fitting method is selected. The interpolating method is similar to the fitting method. But using interpolating method, the curve must pass through all of the points known. The sonic signal often presents the parabola trend, so it has a good effect for sonic signal to fit and interpolate by use of the parabola method. The method, principal and applied approach of parabola are expatiated in this paper, and the actual application examples show that the parabola method used in sonic signal is feasible. Using parabola fitting is easier having less computing work, the requirement for the original data can be more tolerant and local errors can be eliminated. The parabola interpolating method is even easier and clearer. According to the wave characters known, the sonic wave can be reappeared quite well.