TY - JOUR

T1 - Optimum Tradeoffs between the Error Exponent and the Excess-Rate Exponent of Variable-Rate Slepian-Wolf Coding

AU - Weinberger, Nir

AU - Merhav, Neri

N1 - Publisher Copyright:
© 1963-2012 IEEE.

PY - 2015/4/1

Y1 - 2015/4/1

N2 - We analyze the optimal tradeoff between the error exponent and the excess-rate exponent for variable-rate Slepian-Wolf codes. In particular, we first derive upper (converse) bounds on the optimal error and excess-rate exponents, and then lower (achievable) bounds, via a simple class of variable-rate codes which assign the same rate to all source blocks of the same type class. Then, using the exponent bounds, we derive bounds on the optimal rate functions, namely, the minimal rate assigned to each type class, needed in order to achieve a given target error exponent. The resulting excess-rate exponent is then evaluated. Iterative algorithms are provided for the computation of both bounds on the optimal rate functions and their excess-rate exponents. The resulting Slepian-Wolf codes bridge between the two extremes of fixed-rate coding, which has minimal error exponent and maximal excess-rate exponent, and average-rate coding, which has maximal error exponent and minimal excess-rate exponent.

AB - We analyze the optimal tradeoff between the error exponent and the excess-rate exponent for variable-rate Slepian-Wolf codes. In particular, we first derive upper (converse) bounds on the optimal error and excess-rate exponents, and then lower (achievable) bounds, via a simple class of variable-rate codes which assign the same rate to all source blocks of the same type class. Then, using the exponent bounds, we derive bounds on the optimal rate functions, namely, the minimal rate assigned to each type class, needed in order to achieve a given target error exponent. The resulting excess-rate exponent is then evaluated. Iterative algorithms are provided for the computation of both bounds on the optimal rate functions and their excess-rate exponents. The resulting Slepian-Wolf codes bridge between the two extremes of fixed-rate coding, which has minimal error exponent and maximal excess-rate exponent, and average-rate coding, which has maximal error exponent and minimal excess-rate exponent.

KW - Slepian-Wolf coding

KW - alternating minimization

KW - variable-rate coding

UR - http://www.scopus.com/inward/record.url?scp=84925004423&partnerID=8YFLogxK

U2 - 10.1109/TIT.2015.2405537

DO - 10.1109/TIT.2015.2405537

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AN - SCOPUS:84925004423

SN - 0018-9448

VL - 61

SP - 2165

EP - 2190

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 4

M1 - 7045493

ER -