In this paper,we propose a quasi-orthogonalmatchingpursuit(QOMP)algorithm for constructing a sparse approximation of functions in terms of expansion by orthonormal *** the two kinds of sampled data,data with noises ...
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In this paper,we propose a quasi-orthogonalmatchingpursuit(QOMP)algorithm for constructing a sparse approximation of functions in terms of expansion by orthonormal *** the two kinds of sampled data,data with noises and without noises,we apply the mutual coherence of measurement matrix to establish the convergence of the QOMP algorithm which can reconstruct s-sparse Legendre polynomials,Chebyshev polynomials and trigonometric polynomials in s step *** results are also extended to general bounded orthogonal system including tensor product of these three univariate orthogonal ***,numerical experiments will be presented to verify the effectiveness of the QOMP method.
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