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This paper extends the notion of the matrix angular central distribution(MACG) to the complex case. We start by considering the normally distributedrandom complex matrix ($Z$) and show that is the orientation($H_Z=Z(Z'Z)^{-1}$) has complex MACG (CMACG) distribution. Then we discuss thedistribution of the orientation of the linear transformation of the randommatrix which orientation part has CMACG distribution. Finally, we discuss thefamily of distributions which lead to the CMACG distribution.

A note on some extensions of the matrix angular central Gaussian distribution