by Ng Siu Wah. / Thesis submitted in: August 1998. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 49-[52]). / Abstract also in Chinese. / Chapter 1 --- Introduction and motivations --- p.1 / Chapter 1.1 --- Overview of Coding Technology --- p.2 / Chapter 1.2 --- Recent Breakthrough - Turbo Code --- p.3 / Chapter 1.3 --- Organization of the Thesis --- p.4 / Chapter 2 --- Basics of Turbo Codes --- p.5 / Chapter 2.1 --- A Brief Introduction of Turbo Codes --- p.6 / Chapter 2.1.1 --- Constituent Encoders with interleaver --- p.6 / Chapter 2.1.2 --- Iterative Decoder --- p.8 / Chapter 2.2 --- Additional remarks on Turbo Codes --- p.12 / Chapter 2.2.1 --- RSC encoders --- p.12 / Chapter 2.2.2 --- Interleaver --- p.14 / Chapter 2.3 --- Performance Evaluation of Turbo Codes --- p.15 / Chapter 2.3.1 --- Union Bound --- p.15 / Chapter 2.3.2 --- Weight Enumerating Function --- p.16 / Chapter 2.3.3 --- Uniform Interleaver --- p.17 / Chapter 3 --- An Improved Performance Bound for Turbo Codes --- p.20 / Chapter 3.1 --- Motivations --- p.21 / Chapter 3.2 --- Duman-Salehi's bound for Turbo Code --- p.22 / Chapter 3.2.1 --- Notations and definitions --- p.22 / Chapter 3.2.2 --- Word Error Probability --- p.23 / Chapter 3.3 --- Improved bounds for Turbo Code --- p.26 / Chapter 3.3.1 --- Preliminaries --- p.26 / Chapter 3.3.2 --- Generalization of Duman-Salehi's Bounds --- p.28 / Chapter 3.3.3 --- An Improved Bound on Word Error Probability --- p.30 / Chapter 3.3.4 --- An Improved Bound on Bit Error Probability --- p.34 / Chapter 3.4 --- Results and Discussions --- p.37 / Chapter 3.4.1 --- Assumptions --- p.37 / Chapter 3.4.2 --- Numerical results --- p.37 / Chapter 3.4.3 --- Distance spectra --- p.40 / Chapter 4 --- Concluding Remarks --- p.48 / Bibliography --- p.49

In a constant weight code, each code word contains a constant number of 1's. If this number is equal to half the length of the code word then the code is called balanced. These codes find many applications in computer and communication systems noise reduction in VLSI systems, fault masking in bus lines of VLSI systems, rejection of the low frequency components in digital communication systems, delay insensitive communications in asynchronous systems, data transmission in fiber optics, data storage in optical discs and magnetic tapes, fault tolerant synchronous circuits, etc. This thesis presents new efficient design methods for constant weight codes suitable to these applications. The proposed codes require low redundancy but at the same time have fast and simple encoding/decoding algorithms. / Graduation date: 1997

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Thesis (PhD)--University of South Australia, 1996.

Thesis (PhD)--University of South Australia, 1996.

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