Parameterization of Perfect Arrays of Real Numbers

Takao MAEDA; Takafumi HAYASHI

doi:10.1587/transfun.E94.A.2178

Parameterization of Perfect Arrays of Real Numbers

Takao MAEDA, Takafumi HAYASHI

Full Text Views

0

Cite this

Summary :

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 66 arrays, the existence of a set of perfect arrays having integer components is shown.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.11 pp.2178-2187

Publication Date: 2011/11/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.2178

Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Digital Signal Processing

Cite this

Copy

Takao MAEDA, Takafumi HAYASHI, "Parameterization of Perfect Arrays of Real Numbers" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 11, pp. 2178-2187, November 2011, doi: 10.1587/transfun.E94.A.2178.
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 66 arrays, the existence of a set of perfect arrays having integer components is shown.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.2178/_p

Copy

@ARTICLE{e94-a_11_2178,
author={Takao MAEDA, Takafumi HAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Parameterization of Perfect Arrays of Real Numbers},
year={2011},
volume={E94-A},
number={11},
pages={2178-2187},
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 66 arrays, the existence of a set of perfect arrays having integer components is shown.},
keywords={},
doi={10.1587/transfun.E94.A.2178},
ISSN={1745-1337},
month={November},}

Copy

TY - JOUR
TI - Parameterization of Perfect Arrays of Real Numbers
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2178
EP - 2187
AU - Takao MAEDA
AU - Takafumi HAYASHI
PY - 2011
DO - 10.1587/transfun.E94.A.2178
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2011
AB - 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 66 arrays, the existence of a set of perfect arrays having integer components is shown.
ER -