Reconstruction of bandlimited signals from noisy data by adaptive thresholding

An adaptive thresholding scheme is proposed for reconstruction of bandlimited signals from noisy data without oversampling. An exact formula for mean integrated squared error of the proposed scheme gives better reconstruction accuracy than the classical Whittaker-Shannon interpolation scheme and the non-adaptive thresholding-based reconstruction scheme proposed in V.-L. Nguyen and M. Pawlak (2003).