Circularly symmetric complex gaussian (CSCG)

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I am studying the research paper in which Circularly symmetric complex gaussian distribution (CSCG) is some time denoted as CN(0,sigma^2In) where In is unit matrix. What is the significance of "In" in this representation. Because in some cases CSCG distribution is also denoted as CN(0,Sigma^2) i.e, without "In". Thanks in advance.........