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Title page for ETD etd-07202006-215833


Type of Document Dissertation
Author Liu, Junying
URN etd-07202006-215833
Title Robust Transmission of Arithmetically Encoded Data
Degree Doctor of Philosophy
Department Electrical Engineering
Advisory Committee
Advisor Name Title
Daniel J. Costello Committee Member
Ken Sauer Committee Member
Robert Stevenson Committee Member
Thomas Fuja Committee Member
Keywords
  • soft-input/soft-output
  • arithmetic coding
  • joint source/channel coding
Date of Defense 2006-04-12
Availability restricted
Abstract
Shannon's source and channel separation principle indicates that there

is no benefit ( in terms of efficiency or performance) to permitting cooperation between the source coding (compression) and channel coding (error control) functions in a digital communication system. However, this separation principle holds only

asymptotically for long and infinitely complex codes. This observation

has led to increasing research on joint source/channel coding

design as an alternative for achieving reliable communication over

noisy channels.

Joint source/channel coding schemes have been well studied for

fixed-length coded sources. But widely used entropy codes, such as

Huffman codes and arithmetic codes, are variable length in nature. The

compressed bit stream produced by variable length codes is susceptible

to error propagation. Thus joint source/channel coding design is of

interest for variable length codes. With the wide popularity of

arithmetic codes in a variety of standards including MPEG4,

JPEG2000 and H.26L, joint design for systems involving arithmetic

codes has generated interest. This dissertation focuses on the design of

schemes for recovering

arithmetically encoded data transmitted through a noisy AWGN channel.

The joint arithmetic/channel coding system presented in this dissertation is based on an

arithmetic sequential decoder that can accept soft input. Operating on

a source symbol-constrained tree structure, it improves

performance compared with the conventional

arithmetic decoder which can only accept binary bits. Several joint source/channel coding

schemes are proposed in which channel coding is used to protect the

arithmetically encoded data. First, a joint sequential decoder that

sweeps sequentially through a composite tree including the states of both

the arithmetic and channel codes is developed. Second, a soft tandem

system in which an arithmetic decoder uses the soft output from a

channel decoder is studied. The turbo principle is then applied to a serially

concatenated arithmetic/channel coding system in which the arithmetic

decoder and the channel decoder share extrinsic information as in

turbo codes. The convergence behavior of this iterative system

is analyzed via density evolution. All the joint systems

outperform the conventional hard tandem system in which arithmetic

decoding and channel decoding are done separately.

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