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Unbiased MMSE vs. Biased MMSE Equalizers
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• Proof: X is j G implies that V = uX is G with mean uμ and variance uΣu. Thus its characteristic function, CV (t) = e ituμe−t 2uTΣu/2. But CV (t) = E[e itV ] = E[e TX ]. If we set t = 1, then this is E[e TX ] which is equal to CX(u). Thus, CX(u) = CV (1) = e iuμe−u TΣu/2. • Proof (other side): we are given that the charac function ofX, CX(u) = E[eiuTX ] = e μe−u TΣu/2. Consider V = uX. Thus, C...
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ژورنال
عنوان ژورنال: Canadian Medical Association Journal
سال: 2007
ISSN: 0820-3946,1488-2329
DOI: 10.1503/cmaj.070074