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Table 1 Notational conventions

From: On the use of calibration emitters for TDOA source localization in the presence of synchronization clock bias and sensor location errors

Notation

Explanation

⊗

Kronecker product

I n

n × n identity matrix

O n ×  m

n × m matrix of zeros

1 n ×  m

n × m matrix of ones

blkdiag[A1 A2 ⋯ An]

A block diagonal matrix with matrices {Ak}1 ≤ k ≤ n on the main diagonal

rank[A]

Rank of matrix A

rank[A]

Linear subspace spanned by the column vectors of matrix A

A 1/2

Square root of matrix A

A †

Moore–Penrose inverse of matrix A

Π⊥[A]

Orthogonal projection matrix onto the orthogonal subspace of range[A]