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首次从极化域变换的角度,给出了极化变换的严格定义,阐述了极化变换的数学原理,分析了极化变换的数学性质和物理意义.着重针对酉矩阵型和对角矩阵型极化变换,详细分析了极化变换的增益特性及其对极化状态距离的展缩特性;提出了级联极化变换的概念,并指出了一般极化变换都可以等效为上述两类典型变换的级联:通过酉矩阵型极化变换实现极化状态在极化域上的位置搬移,通过对角矩阵型极化变换实现极化状态分布疏密的展缩.结果对于极化滤波、检测、增强、抗干扰、鉴别/识别等后续极化信息处理均有指导意义.
For the first time, from the perspective of polarization domain transformation, a strict definition of polarization transformation is given, the mathematical principle of polarization transformation is expounded, and the mathematical properties and the physical meaning of polarization transformation are analyzed. Emphasis is placed on unitary matrix type and diagonal matrix type Polarization transformation, the gain characteristics of polarization transformation and the shrinkage characteristics of the polarization state are analyzed in detail. The concept of cascaded polarization transformation is proposed. It is pointed out that the general polarization transformation can be equivalent to the above two types Typical cascades of transformation: positional polarization shift in the polarization domain is achieved by unitary matrix polarization transformation, and contraction of the polarization state distribution is achieved by diagonal matrix polarization transformation.Results For polarization filtering , Detection, enhancement, anti-interference, identification / identification and other follow-up polarization information processing are instructive.