Paper Info
Title
Construction of infinite unimodular sequences with zero autocorrelation
Abstract
Unimodular waveforms x are constructed on the integers with the property that the autocorrelation of x is one at the origin and zero elsewhere. There are three different constructions: exponentials of the form sequences taken from roots of unity, and sequences constructed from the elements of real Hadamard matrices. The first is expected and elementary and the second is based on the construction of Wiener. The third is the most intricate and is really one of a family of distinct but structurally similar waveforms. A natural error estimate problem is posed for the last construction. The analytic solution is not as useful as the simulations because of the inherent counting problems in the construction.
Year
DOI
Venue
2010
10.1007/s10444-008-9100-9
Adv. Comput. Math.
Keywords
Field
DocType
Infinite unimodular sequences,Zero autocorrelation,Hadamard matrices,42-XX (Fourier Analysis)
Integer,Combinatorics,Exponential function,Mathematical analysis,Matrix (mathematics),Root of unity,Counting problem,Unimodular matrix,Hadamard transform,Mathematics,Autocorrelation
Journal
Volume
Issue
ISSN
32
2
1019-7168
Citations 
PageRank 
References 
3
0.42
2
Authors
2
Name
Order
Citations
PageRank
John J. Benedetto113216.90
Somantika Datta2122.71