The dual frame induced by an invertible frame multiplier

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2015Publisher:IEEEJournal:2015 International Conference on Sampling Theory and Applications (SampTA)

Authors: Diana T. Stoeva; Peter Balazs;

doi: 10.1109/sampta.2015.7148859

The dual frame induced by an invertible frame multiplier

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Abstract

The inverse of an invertible frame multiplier can be represented as a multiplier with reciprocal symbol and sequences dual to the original frames. One of the duals is unique with the property that the other one can be arbitrarily chosen, which is shown in this paper for several cases. We also show when the dual induced by the invertible frame multiplier is the canonical dual and when it has the same structure as the original dual.

Related Organizations

Austrian Academy of Sciences
Austria
Acoustics Research Institute
Austria

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