文章目录
阵列信号模型
被阵列信号模型中的矩阵搞得晕头转向,矩阵中又嵌套向量,记录一下
常见的阵列模型如下:
- X X X为全部阵元总的输出, X = [ X 1 ( t ) , X 2 ( t ) , ⋯ , X M ( t ) ] T X = [X_1(t),X_2(t),\cdots,X_M(t)]^T X=[X1(t),X2(t),⋯,XM(t)]T
- N ( t ) N(t) N(t)为噪声, N ( t ) = [ n 1 ( t ) , n 2 ( t ) , ⋯ , n M ( t ) ] T N(t) = [n_1(t),n_2(t),\cdots,n_M(t)]^T N(t)=[n1(t),n2(t),⋯,nM(t)]T
- A A A为阵列导向向量构成的矩阵, A = [ A ( θ 1 ) , A ( θ 2 ) , ⋯ , A ( θ k ) ] A = [A(\theta_1),A(\theta_2),\cdots,A(\theta_k)] A=[A(θ1),A(θ2),⋯,A(θk)]
- A ( θ i ) = [ 1 , e − j 2 π d λ s i n θ