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 ...
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...
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...
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...
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...