Maximum Likelihood Sequence Detection - spsc
Maximum Likelihood Sequence Detection - spsc
Maximum Likelihood Sequence Detection - spsc
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ML <strong>Detection</strong> of a Signal Vector<br />
• Vector of Symbols<br />
• Maximize f ˆ ˆ ˆ ˆ<br />
YS |<br />
( y | s) = fNS |<br />
( y − s| s) = fN( y −s)<br />
• Equivalent to maximize<br />
1 1<br />
f ( y ˆ<br />
⎛<br />
− s ) exp ˆ<br />
N<br />
=<br />
M /2 M ⎜− −<br />
2<br />
(2 π) σ ⎝ 2σ<br />
y s<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
• Equivalent to minimizing<br />
y<br />
− sˆ<br />
SPSC<br />
12
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