DYADIC REPRESENTATION OF THE RUDIN-SHAPIRO COEFFICIENTS WITH APPLICATIONS

被引：1
|
作者：
Abdollahi, A. [1 ]
Taghavi, M. [1 ]
机构：
[1] Shiraz Univ, Dept Math, Shiraz 71454, Iran
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2005年 / 18卷 / 1-2期
关键词：
Autocorrelation; dyadic representation; frequency;
D O I：
10.1007/BF02936573
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The coefficients of the Rudin-Shapiro polynomials are +/-1. In this paper we first replace - 1 coefficient by 0 which on that case the structure of the coefficients will be on base 2. Then using the results obtained for the numbers on base 2, we introduce a quite fast algorithm to calculate the autocorrelation coefficients. Main facts : Regardless of frequencies, finding the autocorrelations of those polynomials on which their coefficients lie in the unit disk has been a telecommunication's demand. The Rudin-Shapiro polynomials have a very special form of coefficients that allow us to use "Machine language" for evaluating these values.
引用
收藏
页码：301 / 310
页数：10
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