publication . Other literature type . Article . 2007

Optimal linear transmission by loss-insensitive packet encoding

Bernhard G. Bodmann;
  • Published: 01 May 2007
  • Publisher: Elsevier BV
Abstract
Abstract The objective of this paper is to characterize the optimal use of redundancy in transmitting a signal that is encoded in terms of packets of linear coefficients. The signals considered here are vectors in a finite-dimensional real or complex Hilbert space. For the purpose of transmission, these vectors are encoded in a set of linear coefficients that is partitioned in packets of equal size. We investigate how the encoding performance depends on the degree of redundancy it incorporates and on the amount of data-loss when packets are either transmitted perfectly or lost in their entirety. The encoding performance is evaluated in terms of the maximal Eucli...
Subjects
ACM Computing Classification System: Data_CODINGANDINFORMATIONTHEORY
free text keywords: Frames, Codes, Erasures, Error bounds, Applied Mathematics, Encoding (memory), Hilbert space, symbols.namesake, symbols, Transmission (mechanics), law.invention, law, Unit vector, Fusion frame, Redundancy (engineering), Euclidean distance, Discrete mathematics, Network packet, Mathematics
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