Browsing by Subject "Condition numbers"

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    Condition number in recovery of signals from partial fractional fourier domain information
    (Optical Society of America, 2013-06) Oktem F. S.; Özaktaş, Haldun M.
    The problem of estimating unknown signal samples from partial measurements in fractional Fourier domains arises in wave propagation. By using the condition number of the inverse problem as a measure of redundant information, we analyze the effect of the number of known samples and their distributions.
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    Linear algebraic analysis of fractional Fourier domain interpolation
    (IEEE, 2009) Öktem, Figen S.; Özaktaş, Haldun M.
    In this work, we present a novel linear algebraic approach to certain signal interpolation problems involving the fractional Fourier transform. These problems arise in wave propagation, but the proposed approach to these can also be applicable to other areas. We see this interpolation problem as the problem of determining the unknown signal values from the given samples within some tolerable error. We formulate the problem as a linear system of equations and use the condition number as a measure of redundant information in given samples. By analyzing the effect of the number of known samples and their distributions on the condition number with simulation examples, we aim to investigate the redundancy and information relations between the given data.