Assuming $b>0$, $mathbf{A} in mathbb{C}^{mtimes n}$ with $mleq n$ and each element of $mathbf{A}$ is i.i.d. $mathcal{CN}(0,1)$ distributed, how to obtain $mathbb{P} left( detleft( mathbf{A}mathbf{A}^H right) < b right)$?

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# The CDF of determinant of wishart distribution

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Assuming $b>0$, $mathbf{A} in mathbb{C}^{mtimes n}$ with $mleq n$ and each element of $mathbf{A}$ is i.i.d. $mathcal{CN}(0,1)$ distributed, how to obtain $mathbb{P} left( detleft( mathbf{A}mathbf{A}^H right) < b right)$?

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