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Information Journal Paper

Title

EXTENSION OF SHIFT-INVARIANT FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS

Author(s)

RASHIDI KOUCHI M. | NAZARI A.

Pages

  41-48

Abstract

 Let G be a LOCALLY COMPACT ABELIAN GROUP with a uniform lattice sub-group. In this paper, we verify extension of shift-invariant systems in L2 (G) to tight FRAMES. We show that any shift-invariant Bessel sequence with an at most countable number of generators in L2 (G) can be extended to a tight frame for its closed linear span by adding another shift-invariant system with at most the same number of generators in L2 (G). Also, we yield an extension of the given Bessel sequence to a pair of DUAL FRAME sequences.

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