Iterative reconstruction of bandlimited signals from nonuniform samples by sliding periodization of nonuniformity

The present article proposes to reconstruct a bandlimited signal from nonuniform samples by a sliding periodization of the nonuniformity and successive approximations. When the nonuniformity consists of bounded deviations of the sampling instants from a uniform grid, the reconstruction can be made arbitrarily accurate either by increasing the period of the periodizations or by increasing the number of successive approximations.