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Derivations

  MMSE Detector
We make the following assumptions in the following derivation. The source bits of one user are uncorrelated with the past and future bits from itself and all bits from other users. (i.e. tex2html_wrap_inline1945). The noise tex2html_wrap_inline1947 is white, and zero mean and uncorrelated with the source. (i.e. tex2html_wrap_inline1949 and tex2html_wrap_inline3513).
eqnarray1348

Where tex2html_wrap_inline1931 is a vector the length of tex2html_wrap_inline2079 with a 1 at index tex2html_wrap_inline1120, and zeros elsewhere. Now, set tex2html_wrap_inline3917
eqnarray1393



Thu Dec 17 13:13:15 EST 1998