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从经典维纳滤波器出发,以自适应干扰对消为纽带,推演出各种自适应阵列处理算法的等效原理。推导出降秩自适应滤波的统一算法结构,并提出线性约束正交投影算法。据此得出自适应阵列处理典型算法的内在关系,提出自适应阵列处理的统一框架,从而把单一约束和多线性约束(甚至静态方向图约束)、满秩和降秩、单级维纳滤波和多级维纳滤波有机统一起来,把对特殊干扰环境(相干干扰环境等)及期望信号特性(高阶累计量、循环平稳性等)下的处理视作预处理,构建起自适应阵列处理的统一理论基础。
Starting from the classic Wiener filter, the equivalent principle of various adaptive array processing algorithms is deduced by using adaptive interference cancellation as a link. A uniform algorithm structure of adaptive rank reduction filter is derived and an orthogonal constrained orthogonal projection algorithm is proposed. Based on this, the inner relationship of the typical algorithms of adaptive array processing is obtained, and the unified framework of adaptive array processing is proposed. The single constraints and multi-linear constraints (even the static directional constraints), full rank and rank reduction, Multistage Wiener filtering is organically unified, and the processing under special interference environment (coherent interference environment, etc.) and the desired signal characteristics (higher order cumulant, cyclostationarity, etc.) are treated as preprocessing to construct an adaptive array processing Unified theoretical basis.