TY - JOUR
T1 - A semi-continuous version of the berger-yeung problem
AU - Berger, Toby
AU - Zamir, Ram
N1 - Funding Information:
Manuscript received May 1, 1997; revised December 1, 1998. This work was supported in part by the Wolfson Research Awards, administered by the Israel Academy of Science and Humanities, and by NSF under Grants NCR-9216975, NCR-9632266, and IRI-9310670. This work was performed while R. Zamir was at Cornell University, Ithaca, NY. T. Berger is with the School of Electrical Engineering, Cornell University, Ithaca, NY 14853 USA (e-mail: [email protected]). R. Zamir is with the Department of Electrical Engineering–Systems, Tel-Aviv University, 69978 Tel-Aviv, Israel (e-mail: [email protected]). Communicated by R. Laroia, Associate Editor for Source Coding. Publisher Item Identifier S 0018-9448(99)04356-4.
PY - 1999
Y1 - 1999
N2 - We present a continuous dual of multiterminal source encoding with one distortion criterion (the "Berger-Yeung problem"). A continuous source X is encoded with "high resolution" (D x → 0), with the aid of a "helper," i.e., a correlated discrete or continuous source Y, that is encoded separately subject to some arbitrary distortion criterion D y. We find the asymptotic form of the set of achievable coding rates R(D x, D y) of the X- and Y-encoders as D x → 0. Two extreme cases of our result provide high-resolution interpretations to the classical work of Wyner, Ahlswede, Körner, and Ziv on source coding with side information.
AB - We present a continuous dual of multiterminal source encoding with one distortion criterion (the "Berger-Yeung problem"). A continuous source X is encoded with "high resolution" (D x → 0), with the aid of a "helper," i.e., a correlated discrete or continuous source Y, that is encoded separately subject to some arbitrary distortion criterion D y. We find the asymptotic form of the set of achievable coding rates R(D x, D y) of the X- and Y-encoders as D x → 0. Two extreme cases of our result provide high-resolution interpretations to the classical work of Wyner, Ahlswede, Körner, and Ziv on source coding with side information.
KW - Berger-yeung problem
KW - High resolution
KW - Multiterminal source coding
KW - Shannon lower bound
KW - Side information
KW - Wyner-ziv problem
UR - http://www.scopus.com/inward/record.url?scp=0032688471&partnerID=8YFLogxK
U2 - 10.1109/18.771151
DO - 10.1109/18.771151
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AN - SCOPUS:0032688471
SN - 0018-9448
VL - 45
SP - 1520
EP - 1526
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 5
ER -