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A new optimal double periodical construction of one target two-dimensional arrays

Oscar Moreno and Solomon Golomb. A new optimal double periodical construction of one target two-dimensional arrays. In IEEE International Symposium on Information Theory (ISIT), Chicago, USA, 2004.

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Abstract

One of the results of [3] is an answer to a question of [5] , and we in fact prove how the concept of one dimensional modular rulers, or they also called OOC’s with correlation lambda is the same as two dimensional double-periodic arrays with correlation lambda. Using this we obtain the signal patterns for multiple targets. Now using the previous mentioned result and a new construction of OOC’s with lambda = 1, we obtain a construction for multiple target arrays with auto and cross correlation one. This is the first family for multiple target arrays with lambda = 1, and the arrays are of the extended sonar type . Furthermore given our equivalence theorem mentioned above (between two dimensional arrays and OOC’s), and the fact that the new construction is optimal in the Johnson bound, we therefore obtain an optimal family of extended sonars with the property of double periodicity. Our main result of this paper is theorem 2

BibTeX

@inproceedings{moreno04new,
 AUTHOR = "Oscar Moreno and Solomon Golomb",
 TITLE = "A new optimal double periodical construction of one target two-dimensional arrays",
 BOOKTITLE = ISIT,
 abstract={One of the results of [3] is an answer to a question of [5] ,
   and we in fact prove how the concept of one dimensional modular
   rulers, or they also called OOC’s with correlation lambda is the
   same as two dimensional double-periodic arrays with correlation
   lambda. Using this we obtain the signal patterns for multiple
   targets. Now using the previous mentioned result and a new
   construction of OOC’s with lambda = 1, we obtain a construction
   for multiple target arrays with auto and cross correlation one.
   This is the first family for multiple target arrays with lambda = 1,
   and the arrays are of the extended sonar type . Furthermore
   given our equivalence theorem mentioned above (between two
   dimensional arrays and OOC’s), and the fact that the new
   construction is optimal in the Johnson bound, we therefore
   obtain an optimal family of extended sonars with the property
   of double periodicity.
   Our main result of this paper is theorem 2},
   ADDRESS = "Chicago, USA",
   YEAR = 2004,
   bib2html_pubtype = {Conference Papers},
   bib2html_rescat = {Generation Methods},
   bib2html_dl_pdf = "http://www.costasarrays.org/costasrefs/moreno04new.pdf",
}

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