CHENG Xiao-gang1, CHEN Qi-mei1, CHENG Hao2, et al. Optimal approximation model of autocorrelation function of digital image[J]. 2011, 32(10): 185-190.DOI:
数字图像自相关函数的优化逼近模型
摘要
将复杂的非平稳随机信号划为分段平稳随机信号进行处理
以信号自相关函数反映信号特征。而自相关函数是数字图像频谱分析的基础
可作为图像清晰度评价函数
并有助于寻找有效的信号正交基。为精确有效地表示分段平稳随机信号
在分析ARMA模型、分段平稳随机过程和Markov过程的基础上
建立多参数的自相关函数估计模型
其提高了逼近效果
可适应变化复杂的非平稳信号。计算机仿真表明
该模型逼近误差显著下降。
Abstract
Non-stationary stochastic signal was divided into piecewise stationary stochastic signal
and reflecting the sig-nal’s characteristics by autocorrelation function of the piecewise stationary stochastic signal.Generally
the autocorrela-tion function was the base of selecting signal base for signal representation.For expressing non-stationary stochastic sig-nal in a precise and effective way
based on the analysis of the natural characteristics of ARMA model and Markov proc-ess
a kind of multi-parameter estimation model of autocorrelation function for piecewise stationary stochastic process was proposed.The computational complexity was reduced
and the approximation effect was improved.Furthermore
the multi-parameter estimation model could also be adapted to the complex non-stationary stochastic signal
The computer simulation demonstrates that the approximation error was decreased significantly.