SOO-CHANG PEIChang K.-W.2021-09-022021-09-02202122195491https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099278671&doi=10.23919%2fEusipco47968.2020.9287751&partnerID=40&md5=e10c15d253d10125138b4b0064c17c3ehttps://scholars.lib.ntu.edu.tw/handle/123456789/581157In 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. ? 2021 European Signal Processing Conference, EUSIPCO. All rights reserved.Gaussian distribution; Construction scheme; Gaussian integers; Geometric series; Odd length; Signal processingconference paper10.23919/Eusipco47968.2020.92877512-s2.0-85099278671