MidTerm2005

The noise n is a zero mean random process with

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Unformatted text preview: oise n. The noise n is a zero mean random process with correlation matrix n 2 E nnH = n1M , where 1M is an M  M identity matrix. a* If the estimate s of the transmitted signal is taken to be s = y , what is the mean ^ ^ 2 g, expressed in terms of 2 . square error achieved with this estimate, i.e. E fks , sk2 ^ n Hint: trxH y  = tryxH  where x and y are vectors of the same dimensions. Name: Matr.-Nr.: 5 Consider now a di erent scenario where the additive white Gaussian noise is passed rst through a lter Q 2 C M M that produces the new noise term n0 as shown in the following gure: s y n Q with n y = s + n0 = s + Qn 6 where s; n; n0; y 2 C M with the transmitted signal s having zero mean and being uncorrelated with the n...
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This note was uploaded on 07/07/2013 for the course EI 2012 taught by Professor Tum during the Winter '12 term at TU München.

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