TY - GEN

T1 - Lossy joint source-channel coding in the finite blocklength regime

AU - Kostina, Victoria

AU - Verdú, Sergio

PY - 2012

Y1 - 2012

N2 - This paper shows new tight finite-blocklength bounds for the best achievable lossy joint sour ce-channel code rate, and demonstrates that joint sour ce-channel code design brings considerable performance advantage over a separate one in the non-asymptotic regime. A joint source-channel code maps a block of k source symbols onto a length - n channel codeword, and the fidelity of reproduction at the receiver end is measured by the probability ε that the distortion exceeds a given threshold d. For memoryless sources and channels, it is demonstrated that the parameters of the best joint source-channel code must satisfy nC - kR(d) ≈ √nV + kV(d) Q -1 (ε), where C and V are the channel capacity and dispersion, respectively; R(d) and V(d) are the source rate-distortion and rate-dispersion functions; and Q is the standard Gaussian complementary cdf.

AB - This paper shows new tight finite-blocklength bounds for the best achievable lossy joint sour ce-channel code rate, and demonstrates that joint sour ce-channel code design brings considerable performance advantage over a separate one in the non-asymptotic regime. A joint source-channel code maps a block of k source symbols onto a length - n channel codeword, and the fidelity of reproduction at the receiver end is measured by the probability ε that the distortion exceeds a given threshold d. For memoryless sources and channels, it is demonstrated that the parameters of the best joint source-channel code must satisfy nC - kR(d) ≈ √nV + kV(d) Q -1 (ε), where C and V are the channel capacity and dispersion, respectively; R(d) and V(d) are the source rate-distortion and rate-dispersion functions; and Q is the standard Gaussian complementary cdf.

KW - Achievability

KW - Shannon theory

KW - converse

KW - finite blocklength regime

KW - joint source-channel coding

KW - lossy source coding

KW - memoryless sources

KW - rate-distortion theory

UR - http://www.scopus.com/inward/record.url?scp=84867562505&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867562505&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2012.6283533

DO - 10.1109/ISIT.2012.6283533

M3 - Conference contribution

AN - SCOPUS:84867562505

SN - 9781467325790

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 1553

EP - 1557

BT - 2012 IEEE International Symposium on Information Theory Proceedings, ISIT 2012

T2 - 2012 IEEE International Symposium on Information Theory, ISIT 2012

Y2 - 1 July 2012 through 6 July 2012

ER -