TY - JOUR
T1 - Sequence designs for ultra-wideband impulse radio with optimal correlation properties
AU - Chu, Wensong
AU - Colbourn, Charles
N1 - Funding Information:
Manuscript received November 19, 2003; revised June 4, 2004. This work was supported by the U. S. Army Research Office under Grant DAAD19-01-1-0406. W. Chu was with the Department of Computer Science and Engineering, Arizona State University, Tempe, AZ 85287-8809 USA. He is now with CMS BondEdge, Santa Monica, CA 90405 USA. C. J. Colbourn is with the Department of Computer Science and Engineering, Arizona State University, Tempe, AZ 85287-8809 USA. Communicated by K. G. Paterson, Associate Editor for Sequences. Digital Object Identifier 10.1109/TIT.2004.834794
PY - 2004/10
Y1 - 2004/10
N2 - We formulate a combinatorial model of impulse radio sequences (IRSs) to study sequence or signal design for ultra-wideband (UWB) radio with unmodulated time hopping. Using this combinatorial model for IRSs, we develop necessary and sufficient conditions for the existence of IRSs. Several novel constructions for IRSs with optimal correlation properties are given. The constructions involve the Welch construction for Costas arrays, a quadratic polynomial construction over finite fields, recursive techniques for optical orthogonal codes, and combinatorial design techniques using perfect Mendelsohn designs (PMDs).
AB - We formulate a combinatorial model of impulse radio sequences (IRSs) to study sequence or signal design for ultra-wideband (UWB) radio with unmodulated time hopping. Using this combinatorial model for IRSs, we develop necessary and sufficient conditions for the existence of IRSs. Several novel constructions for IRSs with optimal correlation properties are given. The constructions involve the Welch construction for Costas arrays, a quadratic polynomial construction over finite fields, recursive techniques for optical orthogonal codes, and combinatorial design techniques using perfect Mendelsohn designs (PMDs).
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U2 - 10.1109/TIT.2004.834794
DO - 10.1109/TIT.2004.834794
M3 - Article
AN - SCOPUS:5144223942
SN - 0018-9448
VL - 50
SP - 2402
EP - 2407
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 10
ER -