Title :
On the performance of affine index assignments for redundancy free source-channel coding
Author :
Mehes, András ; Zeger, Kenneth
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Abstract :
Summary form only given. Many popular redundancy free codes are linear or affine, including the natural binary code (NBC), the folded binary code (FBC), the Gray code (GC), and the two´s complement code (TCC). A theorem which considers the channel distortion of a uniform 2 n level scalar quantizer with stepsize Δ, which uses an affine index assignment with generator matrix G to transmit across a binary symmetric channel with crossover probability q, is given. Using this theorem we compare the NBC and the FBC for any source distribution
Keywords :
binary sequences; channel coding; linear codes; source coding; statistical analysis; Gray code; affine codes; affine index assignments; binary symmetric channel; channel distortion; crossover probability; folded binary code; generator matrix; level scalar quantizer; linear codes; natural binary code; performance; redundancy free source-channel coding; source distribution; stepsize; theorem; two´s complement code; Binary codes; Discrete transforms; Hamming weight; Niobium compounds; Reflective binary codes; Symmetric matrices; Vectors;
Conference_Titel :
Data Compression Conference, 1995. DCC '95. Proceedings
Conference_Location :
Snowbird, UT
Print_ISBN :
0-8186-7012-6
DOI :
10.1109/DCC.1995.515543
