Title :
On existence of 2-level autocorrelation sequences realized from the decimation-Hadamard transformation
Author :
Gong, Guang ; Dai, Zongduo ; Golomb, Solomon W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
Abstract :
We investigate the decimation-Hadamard transform (DHT) applied to 2-level autocorrelation sequences. We present the kth-order DHT by a matrix representation and show that odd order DHT cannot realize any 2-level autocorrelation sequences. We provide two interesting experimental results including one for the second-order DHT of the generalized GWM sequences.
Keywords :
Hadamard matrices; Hadamard transforms; binary sequences; correlation theory; information theory; sequences; DHT; binary sequences; decimation-Hadamard transform; generalized GWM sequences; matrix representation; nonbinary sequences; two-level autocorrelation sequences; Autocorrelation; Binary sequences; Computer security; Galois fields; Information security; Laboratories;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023369
