On Spectrum Analysis of Different Weakening Buffer Operators

To analyze the properties and functions of different weakening buffer operators of AWBO, GAWBO and FB-WBO, some data series and their operator-buffered series are converted from time domain to frequency domain using Fourier transformation. Base on the spectrum analysis of the time series in frequency domain, the properties and functions of different weakening buffer operators of AWBO, GAWBO and FB-WBO are obtained At the low frequency part, the spectrum amplitude of the weakening operators of AWBO and GAWBO buffered series is higher than the original data sequence. At the high frequency part, compared to the original data sequence, the weakening operators of AWBO and GAWBO buffered series has attenuation effect. For a general data series, the buffer operators of FB-WBO with different fractional order have attenuation effect to the spectrum of original data series at most or all frequency contents. But for the data series with violent oscillations, the buffer operators of FB-WBO with different fractional order do not help to reduce the data oscillations.