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TIT
2002
54views more  TIT 2002»
13 years 10 months ago
Quasi-cyclic dyadic codes in the Walsh--Hadamard transform domain
A code is -quasi-cyclic ( -QC) if there is an integer such that cyclic shift of a codeword by -positions is also a codeword. For = 1, cyclic codes are obtained. A dyadic code is a ...
B. Sundar Rajan, Moon Ho Lee
TIT
2002
89views more  TIT 2002»
13 years 10 months ago
Upper bounds on the rate of LDPC Codes
We derive upper bounds on the rate of low density parity check (LDPC) codes for which reliable communication is achievable. We first generalize Gallager's bound to a general ...
David Burshtein, Michael Krivelevich, Simon Litsyn...
TIT
2002
68views more  TIT 2002»
13 years 10 months ago
A Lagrangian formulation of Zador's entropy-constrained quantization theorem
Abstract--Zador's classic result for the asymptotic high-rate behavior of entropy-constrained vector quantization is recast in a Lagrangian form which better matches the Lloyd...
Robert M. Gray, Tamás Linder, Jia Li
TIT
2002
73views more  TIT 2002»
13 years 10 months ago
Quantum rate-distortion theory for memoryless sources
We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on en...
Igor Devetak, Toby Berger
TIT
2002
69views more  TIT 2002»
13 years 10 months ago
Filter bank frame expansions with erasures
Abstract--We study frames for robust transmission over the Internet. In our previous work, we used quantized finite-dimensional frames to achieve resilience to packet losses; here,...
Jelena Kovacevic, Pier Luigi Dragotti, Vivek K. Go...