DocumentCode
2454994
Title
On the Existence of Multilevel Hadamard Matrices with Odd Order
Author
Trinh, Quang Khai ; Fan, Pingzhi ; Gabidulin, Ernst M. ; Mohan, R.N.
Author_Institution
Southwest Jiaotong Univ., Chengdu
fYear
2007
fDate
23-27 Sept. 2007
Firstpage
123
Lastpage
127
Abstract
The multilevel (n-ary) Hadamard matrices, which are related to orthogonal matrices or orthogonal designs, are investigated in this paper. It is assumed that all matrix elements are integers, which make the binary Hadamard matrices as special cases of multilevel (n-ary) Hadamard matrices. It is shown that the multilevel Hadamard matrices of odd order do exist if only two different matrix elements are contained; but, except an unknown case, multilevel (n-ary) Hadamard matrices of odd order do not exist when all matrix elements are successive integers.
Keywords
Hadamard matrices; information theory; multilevel Hadamard matrices; n-ary Hadamard matrices; odd order; orthogonal designs; orthogonal matrices; Communication systems; Digital audio players; Discrete cosine transforms; Error correction; Error correction codes; Irrigation; Linear algebra; Mathematics; Matrix decomposition; Moon; multilevel Hadamard matrix; orthogonal design; orthogonal matrix;
fLanguage
English
Publisher
ieee
Conference_Titel
Signal Design and Its Applications in Communications, 2007. IWSDA 2007. 3rd International Workshop on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-1074-3
Electronic_ISBN
978-1-4244-1074-3
Type
conf
DOI
10.1109/IWSDA.2007.4408339
Filename
4408339
Link To Document