Arbitrary Length Perfect Integer Sequences Using Geometric Series
Soo‐Chang Pei, Kuo-Wei Chang · 2018
A novel method to construct perfect integer sequences based on geometric series is proposed. The method can be applied to arbitrary signal length. A closed form construction has been derived for a given ratio. Moreover, perfect Gaussian integer sequences can also be constructed by this method. The idea can be further generalized to obtain other perfect integer sequences from a given one by the Extended Euclidean algorithm. To the authors' knowledge, these sequences cannot be found by any previous work. Concrete examples are illustrated.