CAJ | 학술논문

根据含噪1/f类分形信号的小波变换系数方差随尺度变化的特点,该文提出了一种估计1/f类分形信号参数的新方法,即对其小波系数方差进行简单的变换,使1/f类分形信号参数估计满足最小二乘法参数估计的条件.仿真实验结果表明,该方法可以有效地从加性白噪声背景下估计出1/f类分形信号的,等参数,从而使1/f类分形信号与加性白噪声分离.
근거함조1/f류분형신호적소파변환계수방차수척도변화적특점,해문제출료일충고계1/f류분형신호삼수적신방법,즉대기소파계수방차진행간단적변환,사1/f류분형신호삼수고계만족최소이승법삼수고계적조건.방진실험결과표명,해방법가이유효지종가성백조성배경하고계출1/f류분형신호적,등삼수,종이사1/f류분형신호여가성백조성분리.
A novel method to estimate the parameters of 1/f-type fractal signal is proposed according to characteristics of the wavelet coefficient variance versus scale of 1/f-type fractal signal in white noise, and namely, after the wavelet coefficient variance is simply transformed, the parameter estimation of 1/f-type fractal signal is according with parameter estimation conditions of least square method. The simulation experiment results demonstrate that, this method can effectively estimate parameters of 1/f-type fractal signal such as and etc. to extract them from additive white noise.