A note on analysis and synthesis operators of a frame and reconstruction of a signal from frame coefficients

Citation:
Loyford Njagi, Bernard Nzimbi, Moindi S. "A note on analysis and synthesis operators of a frame and reconstruction of a signal from frame coefficients." International Journal of Statistics and Applied Mathematics. 2019;4(5):93-99.

Abstract:

We discuss basic properties of Analysis and synthesis operators a frame. The structure of matrix
representation of the Synthesis operator is also analysed. This matrix is what most frame constructions in
fact focus on. The frame operator which is just the joining together of the analysis and synthesis
operators is fundamental for the reconstruction of signals from frame coefficients

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