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1 research outputs found
Submartingale Property of E_0 Under The Polarization Transformations
Author
Alsan Mine
Telatar Emre
Publication venue
Publication date
29/07/2012
Field of study
Full text link
We prove that the relation
E
0
(
Ο
,
W
β
)
+
E
0
(
Ο
,
W
+
)
β₯
2
E
0
(
Ο
,
W
)
E_0(\rho, W^{-}) + E_0(\rho, W^{+}) \geq 2 E_0(\rho, W)
E
0
β
(
Ο
,
W
β
)
+
E
0
β
(
Ο
,
W
+
)
β₯
2
E
0
β
(
Ο
,
W
)
holds for any binary input discrete memoryless channel
W
W
W
, and
Ο
β₯
0
\rho \geq 0
Ο
β₯
0
arXiv.org e-Print Archive