The Stochastic Crb For Array Processing A Textbook Derivation Best

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Consider an array of $M$ sensors receiving $K$ narrowband, far-field sources. Let $\theta = [\theta_1, \dots, \theta_K]^T$ be the vector of unknown DOA parameters. : Consider an array of $M$ sensors receiving

Let ( \mathbf\Pi_A^\perp = \mathbfI - \mathbfA(\mathbfA^H\mathbfA)^-1\mathbfA^H ) (projector onto noise subspace). far-field sources. Let $\theta = [\theta_1

Define ( \mathbf\Pi_A^\perp = \mathbfI - \mathbfA(\mathbfA^H\mathbfA)^-1\mathbfA^H ) (projector onto noise subspace). After some algebraic manipulations (using Woodbury and matrix identities), one can show that: one can show that: