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International Scholarly Research Notices
Table of Contents
International Scholarly Research Notices
/
2011
/
Article
/
Tab 1
/
Research Article
Detector Design and Complexity Analysis for Cooperative Communications in Intersymbol Interference Fading Channels
Table 1
The dependencies between
𝑥
[
0
]
and related output signal.
Related output signal
Symbols to be recorded
𝑠
[
0
]
=
𝑓
(
𝐡
0
,
𝑥
[
0
]
,
𝑥
[
−
𝐾
]
,
𝑥
[
−
𝐿
+
1
]
)
𝑥
[
0
]
𝑠
[
𝐾
]
=
𝑓
(
𝐡
𝐾
,
𝑥
[
𝐾
]
,
𝑥
[
0
]
,
𝑥
[
𝐾
−
𝐿
+
1
]
)
𝑥
[
0
]
,
𝑥
[
𝐾
]
𝑠
[
𝐿
−
1
]
=
𝑓
(
𝐡
𝐿
−
1
,
𝑥
[
𝐿
−
1
]
,
𝑥
[
𝐿
−
1
−
𝐾
]
,
𝑥
[
0
]
)
𝑥
[
0
]
,
𝑥
[
𝐾
]
,
𝑥
[
𝐿
−
1
]
𝑠
[
2
𝐾
]
=
𝑓
(
𝐡
2
𝐾
,
𝑥
[
2
𝐾
]
,
𝑥
[
𝐾
]
,
𝑥
[
2
𝐾
−
𝐿
+
1
]
)
𝑥
[
𝐾
]
,
𝑥
[
𝐿
−
1
]
,
𝑥
[
2
𝐾
]
𝑠
[
𝐾
+
𝐿
−
1
]
=
𝑓
(
𝐡
𝐾
+
𝐿
−
1
,
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
𝐿
−
1
]
,
𝑥
[
𝐾
]
)
𝑥
[
𝐾
]
,
𝑥
[
𝐿
−
1
]
,
𝑥
[
2
𝐾
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
𝑠
[
2
𝐿
−
2
]
=
𝑓
(
𝐡
2
𝐿
−
2
,
𝑥
[
2
𝐿
−
2
]
,
𝑥
[
2
𝐿
−
2
−
𝐾
]
,
𝑥
[
𝐿
−
1
]
)
𝑥
[
𝐿
−
1
]
,
𝑥
[
2
𝐾
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
2
𝐿
−
2
]
𝑠
[
3
𝐾
]
=
𝑓
(
𝐡
3
𝐾
,
𝑥
[
3
𝐾
]
,
𝑥
[
2
𝐾
]
,
𝑥
[
3
𝐾
−
𝐿
+
1
]
)
𝑥
[
2
𝐾
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
2
𝐿
−
2
]
𝑠
[
2
𝐾
+
𝐿
−
1
]
=
𝑓
(
𝐡
2
𝐾
+
𝐿
−
1
,
𝑥
[
2
𝐾
+
𝐿
−
1
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
2
𝐾
]
)
𝑥
[
2
𝐾
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
2
𝐿
−
2
]
𝑠
[
𝐾
+
2
𝐿
−
2
]
=
𝑓
(
𝐡
𝐾
+
2
𝐿
−
2
,
𝑥
[
𝐾
+
2
𝐿
−
2
]
,
𝑥
[
2
𝐿
−
2
]
,
𝑥
[
𝐾
+
𝐿
−
1
]
)
𝑥
[
𝐾
+
𝐿
−
1
]
,
𝑥
[
2
𝐿
−
2
]