B-Z化学振荡实验的时域和频域分析

Analysis Method of Time Domain and Frequency Domain about B-Z Chemical Oscillating Experiment

B-Z化学振荡实验中数据的时域和频域分析是该实验的重点和难点。基于统计学理论,在时域上定义了反应起点至进入振荡周期的时间为振荡诱导期tin、完成一次振荡循环所需时间为振荡周期tp和电位的极差值为振幅A,并论述了标准偏差、相对标准偏差及振荡平衡点的物理化学意义。采用离散Fourier变换将时域谱变换为频域谱(振幅谱和功率谱)进行分析。结果表明:在频域谱中共有7个对称的"反应峰",零频率对应的峰是由于变换过程中的数据个数有限造成的零频率峰值;而负频率3个峰是数学处理造成的没有意义的"副产品"。正频率的3个"反应峰"分别对应了B-Z振荡反应的3个主要反应,它们的特征频率和振幅值可以清晰分辨并准确得到,其中功率谱分辨率更高一些。

Based on statistic theory,from initial reaction to oscillation reaction is defined by induction period oscillation(t_in);oscillation period is defined by the time what required to complete one oscillation cycle;amplitude(A) is defined by the range of potential in cycle in time domain time.The standard deviation and the relative standard deviation were discussed simply.The data in time domain was transformed into frequency domain spectrum by discrete Fourier transform.The results show that there are seven sy...