Conventional uniform sampling has its limitations when samples obtained are not uniform. In order to deal with that restraint, we adopt nonuniform sampling. Reconstruction of a signal from its nonuniform samples is computationally complicated. In this thesis report, we compared various algorithms developed earlier to reconstruct signal from its nonuniform samples. In this thesis, we reconstructed a sinusoid from its nonuniformly sampled sinusoid affected with noise samples. Lomb-Scargle periodogram is the least-squares fit of the nonuniform data samples to a sinusoid. Levenberg-Marquardt optimization was adopted to optimize the values obtained from LS periodogram. We compared the reconstructed sinusoid of Levenberg-Marquardt optimization with that of Steiglitz-McBride technique. We also introduced a novice method where the initial frequency used in LM optimization was from the frequency estimation of Steiglitz-McBride method.
January 30, 2015
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