A Generation Method of Periodic Orthogonal Numerical Sequences with Small Maximum Amplitude for any Period

Kenji OHUE  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E80-A   No.10   pp.2016-2021
Publication Date: 1997/10/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Information Theory and Coding Theory
Keyword: 
generation method,  periodic orthogonal real sequence,  periodic orthogonal complex sequence,  small maximum amplitude,  discrete Fourier transform,  

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Summary: 
This paper presents a new generation method of the periodic orthogonal numerical sequences with small maximum amplitude. In the generation method, complex exponential sequences are used as the generating sequences and such periodic orthogonal numerical sequences are constructed from the discrete Fourier transform of the generating sequences. Until now, there has not been found a generation algorithm to derive such sequences with any period. It is shown that the proposed generation method can derive periodic orthogonal real sequences with the maximum amplitude less than 1.5 for the period 1N200 and periodic orthogonal coplex sequences with all the sbsolute amplitude value of 1 for any period.