On Analysis And Synthesis Operators And Characterization Of The Synthesis Matrix Of A Frame In Terms Of The Frame Operator
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In this research paper we introduce the operators associated with a frame. That is the Analysis and the Synthesis Operators and their basic properties. 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 form frame coefficients. We also give a complete characterization of the synthesis matrix in terms of the frame operator.
CitationNjagi L, Nzimbi BM, Moindi SK. "On analysis and synthesis operators and characterization of the synthesis matrix of a frame in terms of the frame operator." Advance Research in Mathematics and Statistics. 2018;5(12):1-10.
University of Nairobi
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