Vetterli, MartinMarziliano, PinaBlu, Thierry2015-09-222015-09-222015-09-222003https://infoscience.epfl.ch/handle/20.500.14299/118287Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t) can be reconstructed. The reconstructed signal (x(t) can be represented as a sequence of known functions ( gamma (t) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation ( rho ) of the first signal (x(t)).Sampling method, reconstruction method, and device for sampling and/or reconstructing signalspatentEP1374434US8160194US8077757US8031820US7991095US2010246729US2010042374JP4081526US2007183535US2007143078DE60215805AT344548EP1396085JP2004532550EP1396085EP1374434WO02078197AU2002249280WO02078197WO0207820426076519