一种新的连续时变反褶积方法

本文应用线性空间理论,在内积空间上定义了估计子空间上的映射算子。根据投影定理、输出误差与估计子空间正交,利用映射算子的递推公式,可以实现输出误差的阶数递推和时间递推,从而形成了一种新的连续时变反褶积方法,称之为正交反褶积。文中给出了这种方法的理论试算和实际资料处理结果。

A new continuous time - varying deconvoiution method

A mapping operator in estimated subspace is defined in the inner product space by adopting linear space theory, According to projection theorem, the output error is orthogonal to the estimated subspace,Using the recursion formula of mapping operator, both order recursion and time recursion of the output error may be achieved so that a new continuous time varying deconvolution method called orthogonal deconvolution method is developed, Finally, some results of theoretical modeling and real seismic data processing are given.