Generation of Orthogonal Sequences by Walsh Sequences
Ahmad Hamza Al Cheikha1, Ruchin Jain2
1Ahmad Hamza Al Cheikha, Department of Mathematical Science, Ahlia University, Kingdom of Bahrain.
2Ruchin Jain, Department of Telecommunication Engineering, Ahlia University, Kingdom of Bahrain.
Manuscript received on March 01, 2014. | Revised Manuscript received on March 04, 2014. | Manuscript published on March 05, 2014. | PP: 182-184 | Volume-4 Issue-1, March 2014. | Retrieval Number: A2121034114/2014©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Walsh sequences of the order 2k, k positive integer, form an additive group generated by Rademacher sequences set of k-order. Except the zero sequences, Walsh formed an orthogonal set of 2 2 lk , 2 2 2 k , 2 3 2 k k . The present work allows generating orthogonal sequences with length 2k , 22k, l.2k respectively, by using Walsh sequences and theirs complements.
Keywords: Walsh sequences, Rademacher sequences, Orthogonal sequences.