Title :
Linear span of extended sequences and cascaded GMW sequences
Author :
Chung, Habong ; No, Jong-Seon
Author_Institution :
Sch. of Electron. & Electr. Eng., Hong-Ik Univ., Seoul, South Korea
fDate :
9/1/1999 12:00:00 AM
Abstract :
In this correspondence, the linear span of extended sequences of period 2em-1 which are constructed from the ideally correlated sequences of period of 2m-1 is derived. It is also shown that the linear span of cascaded Gordon-Mills-Welch (GMW) sequences can be derived in the same context. As examples, the linear span of extended Legendre sequences and cascaded GMW sequences with triple trace are computed
Keywords :
Galois fields; binary sequences; correlation theory; m-sequences; GMW sequences; Gordon-Mills-Welch sequences; cascaded sequences; extended Legendre sequences; extended sequences; ideally correlated sequences; linear span; pseudorandom binary sequences; triple trace; Autocorrelation; Binary sequences; Communication systems; Gold; Random sequences; Spread spectrum communication;
Journal_Title :
Information Theory, IEEE Transactions on