CAJ | 학술논문

针对稳定分布环境下非平稳过程分析方法时频滑动平均（TFMA）模型算法的退化，引入分数低阶统计量共变，提出了一种改进的分数低阶时频时频滑动平均（FLO-TFMA）模型算法。推导了FLO-TFMA模型的参数求解过程，给出了基于FLO-TFMA模型的时频谱估计。通过在稳定分布环境下对TFMA模型算法和所提出的FLO-TFMA模型算法的参数估计均方误差（MSE）比较和时频谱估计比较，仿真结果表明，FLO-TFMA模型算法的参数估计精度优于TFMA模型算法，TFMA模型时频谱估计完全失效，而FLO-TFMA模型时频谱算法能较好地进行时频谱估计。
침대은정분포배경하비평은과정분석방법시빈활동평균（TFMA）모형산법적퇴화，인입분수저계통계량공변，제출료일충개진적분수저계시빈시빈활동평균（FLO-TFMA）모형산법。추도료FLO-TFMA모형적삼수구해과정，급출료기우FLO-TFMA모형적시빈보고계。통과재은정분포배경하대TFMA모형산법화소제출적FLO-TFMA모형산법적삼수고계균방오차（MSE）비교화시빈보고계비교，방진결과표명，FLO-TFMA모형산법적삼수고계정도우우TFMA모형산법，TFMA모형시빈보고계완전실효，이FLO-TFMA모형시빈보산법능교호지진행시빈보고계。
The Time-Frequency Moving Average(TFMA)model algorithm which is a method of non-stationary signal processing degenerate under α stable distribution environment, the fractional lower order statistics covariance is intro-duced and the improved Fractional Lower Order Time-Frequency Moving Average algorithm(FLO-TFMA)model algo-rithm is proposed. The parameters estimation of FLO-TFMA model is developed and time-frequency spectrum estimation is given based on the FLO-TFMA model. By comparing the Mean Square Error(MSE)of parameter estimation and spec-trum estimation of the TFMA model algorithm and the proposed FLO-TFMA model algorithm under α stable distribution environment condition, simulations show that the parameters estimation precision of the FLO-TFMA model algorithm is better than TFMA model algorithm, the TFMA model spectrum estimation can not work, and FLO-TFMA model algo-rithm provides better performance of time-frequency spectrum.