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针对高分辨率石油地震勘探问题，研究一种带乘性噪声随机系统的最优反褶积估计方法。通过建立逆向运行的在线性最小方差意义下最优的状态滤波公式，推导出一种随机输入序列的单向最优固定域递推算法。该方法离线运算的存储最小，有助于提高地层反射序列提取的分辨率。
To solve the problem of high resolution petroleum seismic exploration, an optimal deconvolution estimation method for a stochastic system with multiplicative noise is studied. By establishing the optimal state filtering formula in the sense of linear minimum variance of reverse running, a unidirectional optimal fixed-domain recursion algorithm of random input sequence is deduced. This method has the least storage of off-line calculation and helps to improve the resolution of the reflection sequence of the formation.