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Unformatted text preview: itted sequence. From the results in Section 2.5.3, we know that the ML
estimator of the bit sequence
Ã Ã Ã ½ ¼ (4.60) up to time ´Ã · ½µÌ is
Ö Deﬁning ÝÒ ¾
Ò Ú ´Ø ÒÌ µ
½ ½ Ã Ú´Ø ÒÌ µ ¾ Ø
Ò Ú ´Ø ÒÌ µ Ø ¾ ½ Ò ¼ Ò
Ò¼ Ö £ Ú ´ÒÌ µ and ÜÒ Ú £ Ú ´ÒÌ µ, we can write the metric as Ü´ÒÌ µ Ã´ Ãµ Ã
Ò (4.61) ¼ Ò ÝÒ ½ ¾ Ã
Ò Ã ¼Ñ ¼ Ò Ñ ÜÒ Ñ (4.62) Then the MLS receiver, which is depicted in Figure 4.16, decides
Ã Ö Ñ Ü Ã´ Ãµ
Ã (4.63) In order to make the decision, the MLS receiver has to check all the ¾Ã sequences to ﬁnd the one
9 We cannot decide the future symbols until we have observed them.
Ironically, although our goal is to combat ISI, there is no interference in this interpretation. 4.20 Wong & Lok: Theory of Digital Communications 4. ISI & Equalization @t=nT r(t) ~
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This note was uploaded on 12/13/2012 for the course EEL 6535 taught by Professor Shea during the Spring '08 term at University of Florida.
- Spring '08