Discrete autocorrelation-based multiplicative MRAs and sampling on R

Abstract

GivenK > 0 and a positive integerM, the function△K,M (t) = Kmax(1− |t| M , 0) represents an isosceles triangle on the real line R having height K and base 2M. For a given K and M, a constant amplitude sequence is constructed on the integers Z having autocorrelation △K,M restricted to Z. With this setup, a large class of bounded sequences z is shown to exist… (More)

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