Optimum symbol-by-symbol signal reception using linear codes over GF(2(m))

Citation
Vm. Smol'Yaninov et Le. Nazarov, Optimum symbol-by-symbol signal reception using linear codes over GF(2(m)), J COMMUN T, 44(7), 1999, pp. 782-785
Citations number
4
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS
ISSN journal
10642269 → ACNP
Volume
44
Issue
7
Year of publication
1999
Pages
782 - 785
Database
ISI
SICI code
1064-2269(199907)44:7<782:OSSRUL>2.0.ZU;2-4
Abstract
An extension of the Walsh functions onto the Galois fields GF(2(m)) is intr oduced. Fields with a simple relation between the traditional and extended Walsh functions are found. For a memoryless channel, an algorithm of the op timum symbol-by-symbol reception of signals based on linear codes over GF(2 (m)) is synthesized. The algorithm uses a fast spectral transform in the Wa lsh basis (FWT).