TY - GEN
T1 - Distance preserving maps and combinatorial joint source-channel coding for large alphabets
AU - Mazumdar, Arya
AU - Polyanskiy, Yury
AU - Rawat, Ankit Singh
AU - Roozbehani, Hajir
PY - 2016/8/10
Y1 - 2016/8/10
N2 - In this paper we present several results regarding distance preserving maps between nonbinary Hamming spaces and combinatorial (adversarial) joint source-channel coding. In an (α, β)-map from one Hamming space to another, any two sequences that are at least α relative distance apart, are mapped to sequences that are relative distance at least β apart. The motivation to study such maps come from (D, δ)-joint source-channel coding (JSCC) schemes, where any encoded sequence must be recovered within a relative distortion D, even in the presence of δ proportion of adversarial errors. We provide bounds on the parameters of both (α, β)-maps and (D,δ)-JSCC for nonbinary alphabets. We also provide constructive schemes for both, that are optimal for many cases.
AB - In this paper we present several results regarding distance preserving maps between nonbinary Hamming spaces and combinatorial (adversarial) joint source-channel coding. In an (α, β)-map from one Hamming space to another, any two sequences that are at least α relative distance apart, are mapped to sequences that are relative distance at least β apart. The motivation to study such maps come from (D, δ)-joint source-channel coding (JSCC) schemes, where any encoded sequence must be recovered within a relative distortion D, even in the presence of δ proportion of adversarial errors. We provide bounds on the parameters of both (α, β)-maps and (D,δ)-JSCC for nonbinary alphabets. We also provide constructive schemes for both, that are optimal for many cases.
UR - http://www.scopus.com/inward/record.url?scp=84985990168&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84985990168&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2016.7541863
DO - 10.1109/ISIT.2016.7541863
M3 - Conference contribution
AN - SCOPUS:84985990168
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 3067
EP - 3071
BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -