Abstract
We present novel bounds on the capacity of the independent and identically distributed binary deletion channel. Four upper bounds are obtained by providing the transmitter and the receiver with genie-aided information on suitably-defined random processes. Since some of the proposed bounds involve infinite series, we also introduce provable inequalities that lead to more manageable results. For most values of the deletion probability, these bounds improve the existing ones and significantly narrow the gap with the available lower bounds. Exploiting the same auxiliary processes, we also derive, as a by-product, two simple lower bounds on the channel capacity, which, for low values of the deletion probability, are almost as good as the best existing lower bounds.
| Original language | English (US) |
|---|---|
| Article number | 2046210 |
| Pages (from-to) | 2753-2765 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 56 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2010 |
Fingerprint
Keywords
- Binary deletion channel
- Capacity bounds
- Channel capacity
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences
Cite this
Novel bounds on the capacity of the binary deletion channel. / Fertonani, Dario; Duman, Tolga M.
In: IEEE Transactions on Information Theory, Vol. 56, No. 6, 2046210, 06.2010, p. 2753-2765.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Novel bounds on the capacity of the binary deletion channel
AU - Fertonani, Dario
AU - Duman, Tolga M.
PY - 2010/6
Y1 - 2010/6
N2 - We present novel bounds on the capacity of the independent and identically distributed binary deletion channel. Four upper bounds are obtained by providing the transmitter and the receiver with genie-aided information on suitably-defined random processes. Since some of the proposed bounds involve infinite series, we also introduce provable inequalities that lead to more manageable results. For most values of the deletion probability, these bounds improve the existing ones and significantly narrow the gap with the available lower bounds. Exploiting the same auxiliary processes, we also derive, as a by-product, two simple lower bounds on the channel capacity, which, for low values of the deletion probability, are almost as good as the best existing lower bounds.
AB - We present novel bounds on the capacity of the independent and identically distributed binary deletion channel. Four upper bounds are obtained by providing the transmitter and the receiver with genie-aided information on suitably-defined random processes. Since some of the proposed bounds involve infinite series, we also introduce provable inequalities that lead to more manageable results. For most values of the deletion probability, these bounds improve the existing ones and significantly narrow the gap with the available lower bounds. Exploiting the same auxiliary processes, we also derive, as a by-product, two simple lower bounds on the channel capacity, which, for low values of the deletion probability, are almost as good as the best existing lower bounds.
KW - Binary deletion channel
KW - Capacity bounds
KW - Channel capacity
UR - http://www.scopus.com/inward/record.url?scp=77955702604&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955702604&partnerID=8YFLogxK
U2 - 10.1109/TIT.2010.2046210
DO - 10.1109/TIT.2010.2046210
M3 - Article
VL - 56
SP - 2753
EP - 2765
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
SN - 0018-9448
IS - 6
M1 - 2046210
ER -