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Formulate the input-output relationship of this link with

Consider a MIMO link for which the channel may be considered to be essentially "constant for k users of the channel."

a. Starting with the basic channel model of (9.105), formulate the input-output relationship of this link with the input being described by the Nr -by-k matrix

686_Equation 01.jpg

b. How is the log-det capacity formula of the link correspondingly modified?

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