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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
A NOTE ON PHASE (NORM) RETRIEVABLE REAL HILBERT SPACE FRAMES
Type
Presentation
Keywords
Real Hilbert frames, Full spark, Finitely Full spark, Phase retrieval, Norm retrieval.
Year
2022
Researchers Asghar Rahimi ، Fateh Akrami

Abstract

Frames were introduced already in 1952 by Duffin and Schaeffer in their fundamental paper [5]; they used frames as a tool in the study of nonharmonic Fourier series. Then, in 1985, as the wavelet era began, Daubechies, Grossmann, and Meyer [4] observed that frames can be used to find series expansions of functions in L2(R) which are very similar to the expansions using orthonormal bases. Frames are basis-like building blocks that span a vector space but allow in linear dependency, which is useful to reduce noise, find amesparse representations, spherical codes, compressed sensing, signal processing, wavelet analysis etc.