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Perfect Sequences and Arrays over the Unit Quaternions
Published 8 Dec 2016 in cs.IT and math.IT | (1701.01154v1)
Abstract: We introduce several new constructions for perfect periodic autocorrelation sequences and arrays over the unit quaternions. This paper uses both mathematical proofs and com- puter experiments to prove the (bounded) array constructions have perfect periodic auto- correlation. Furthermore, the first sequence construction generates odd-perfect sequences of unbounded lengths, with good ZCZ.
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