Multi-channel sampling on shift-invariant spaces with frame generators Articles uri icon

publication date

  • February 2012

start page

  • 1

end page

  • 20


  • 1 (1250003)


  • 10

International Standard Serial Number (ISSN)

  • 0219-6913


  • Let phi be a continuous function in L2(ℝ) such that the sequence {phi(t - n)}n∈ℤ is a frame sequence in L2(ℝ) and assume that the shift-invariant space V(phi) generated by phi has a multi-banded spectrum sigma(V). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V(phi). By using a type of Fourier duality between the spaces V(phi) and L2[0, 2pi] we find necessary and sufficient conditions allowing us to obtain stable multi-channel sampling expansions in V(phi).


  • shift-invariant spaces; multi-channel sampling; frames