IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Information Theory and Its Applications
Parameterization of Perfect Arrays of Real Numbers
Takao MAEDATakafumi HAYASHI
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2011 Volume E94.A Issue 11 Pages 2178-2187

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Abstract
A perfect array is an array for which the autocorrelation function is impulsive. A parameterization of perfect arrays of real numbers is presented. Perfect arrays are represented by trigonometric functions. Three formulae are obtained according to the parities of the size of the array. Examples corresponding to each formula are shown. In the case of 6×6 arrays, the existence of a set of perfect arrays having integer components is shown.
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© 2011 The Institute of Electronics, Information and Communication Engineers
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