NAVIGATION
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Let A\mathbf{A}A be a kĆkk\times kkĆk matrix of real elements. A\mathbf{A}A is said to be orthogonal if AT=Aā1\mathbf{A}^{T}=\mathbf{A}^{-1}AT=Aā1i.e.Ā AAT=I\mathbf{AA}^{T}=\mathbf{I}AAT=I
Looking at an as a linear map we can intuit this as a linear map that preserves the length of vectors and the relative angle between vectors.
Orthogonal Group
Orthonormal Matrix
Determinants for Linearly Transformed Autocorrelation Matrices
Norm-Preserving Matrix
Orthogonal Matrices have Determinant 1
Karhunen-Loeve Transform
Transform Coding with Scalar Quantization
High Resolution Optimality of KLT
KL Transform Decorrelates X