we assume that vectors X(k)are independent and identically distributed (i.i.d.).what's does it mean?

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we assume that the input is a white Gaussian noise (WGN) signal and vectors are independent and identically distributed (i.i.d.)
this expression is used to study the convergence analysis of an algorithm and i want know and undrestand why did they assume it ??

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Voss
Voss 2021-12-27

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