A short proof for the characterisation of tight frames
classification
🧮 math.CA
math.MG
keywords
characterisationframesprooftensortightbenedettoestablishexistence
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With the aid of utilising tensor products, we give a simplified proof to the fundamental theorem of Benedetto and Fickus about the existence and characterisation of finite, normalised tight frames. We also establish unit-norm tensor resolutions for symmetric, positive semi-definite matrices.
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