universal coding for correlated sources with …...coding theorems (2) title microsoft powerpoint -...

12
Universal coding for correlated sources with generalized complementary delivery Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka Tokyo Institute of Technology NTT Communication Science Laboratories, NTT Corporation Wakayama University

Upload: others

Post on 20-Aug-2020

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Universal coding for correlated sourceswith generalized complementary delivery

Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka

Tokyo Institute of TechnologyNTT Communication Science Laboratories, NTT Corporation

Wakayama University

Page 2: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Abstract• Universal source coding problem for

multiterminal coding system• Explicit constructions of universal codes

– Fixed-length & variable-length lossless codes

Page 3: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Background• Slepian-Wolf (1973):

– beginning of multiterminal source coding• Csiszar-Korner (1980):

– first investigated problem of universal coding for Slepian-Wolf coding system

– showed existence of universal codes

• Subsequent research focused on Slepian-Wolf coding system– Csiszar (1982), Ahlswede-Dueck (1982),

Oohama (1996), Uyematsu (2001)

Page 4: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Minimum achievable rate

Page 5: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (1)

Page 6: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (2)

Page 7: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (3)

Page 8: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (4)

6

4 5

2

3

5

6

3

1 2

6

4 5

Page 9: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (5)

Page 10: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Code construction (6)• Fixed-length coding:

• Variable-length coding

Page 11: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Coding theorems (1)

Page 12: Universal coding for correlated sources with …...Coding theorems (2) Title Microsoft PowerPoint - 070629posterRecentSession.ppt Author akisato Created Date 6/21/2007 5:33:10 PM

Coding theorems (2)