Arbitrary Length Reducible and Irreducible Perfect Gaussian Integer Sequences with A Pre-Given Gaussian Integer

被引：0

作者：

Pei, Soo-Chang ^{[1
]}

Chang, Kuo-Wei ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan

[2] Chunghwa Telecom, Telecommun Labs, Taoyuang, Taiwan

来源：

28TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2020) | 2021年

关键词：

Discrete Fourier transform; perfect Gaussian integer sequences; zero autocorrelation; Ramanujan's Sum;

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper we will discuss two construction schemes on arbitrary length perfect Gaussian integer sequence (PGIS) with a pre-given constant. The first scheme uses geometric series, which brings reducible PGIS. We will also discuss the irreducible case and find an easy way to obtain PGIS for even length. Moreover, the same concept can be applied for some odd length N = 3p by using Ramanujan's Sum. Concrete examples are provided.

引用

页码：2274 / 2278

页数：5

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