We consider structures of period 2 spanning a two-dimensional waveguide of width 2N . Scattering problems where Neumann conditions are imposed on the boundary of the structure and either Neumann or Dirichlet conditions are applied on the guide walls are decomposed into N +1 independent problems. The existence of at least N trapped modes is proved for the Neumann guide case and for the Dirichlet...

Let P CS N p denote a set of p binary sequences of length N such that the sum of their periodic auto-correlation functions is a δ-function. In the 1990, Bömer and Antweiler addressed the problem of constructing P CS N p. They presented a table covering the range p ≤ 12, N ≤ 50 and showing in which cases it was known at that time whether P CS N p exist, do not exist, or the question of existence...

We give direct and recursive constructions for aperiodic and periodic complementary sequences. Using these constructions, many missing entries in the table of Bömer and Antweiler [4] can be filled.

This paper introduces filter structures for interpolation and decimation by a factor of two. The structures are derived by using the frequency-response masking approach, in which the overall filter makes use of a periodic model filter, its complementary filter, and two masking filters. The periodic model filters are obtained by replacing each delay element in a model filter with M delay element...

Abstract This paper deals with the periodic unfolding for sequences defined on one dimensional lattices in $${\mathbb {R}}^N$$ R N . In order to transfer known results of lattices, investigation functions as interpolation lattice nodes play main r...