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Maximum Likelihood Sequence Detection - spsc

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Whitening of the<br />

Matched Filter (1)<br />

• matched filter colored noise<br />

jωT<br />

S ( e ) = 2 N S ( e )<br />

• spectral factorization<br />

Z<br />

2<br />

0<br />

h<br />

jωT<br />

Sh ( z ) = γ M ( z ) M (1/ z )<br />

• minimal phase and allpass system<br />

S ( z) = H ( z) H ( z)<br />

h<br />

min<br />

∗<br />

ap<br />

∗<br />

SPSC<br />

7

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