Non-equidistant sampling for bounded bandlimited signals

In this paper non-equidistant sampling series are studied for bounded bandlimited signals. We consider sampling patterns that are made of the zeros of sine-type functions and analyze the local and global convergence behavior of the sampling series. It is shown that the series converge locally uniformly for bounded bandlimited signals that vanish at infinity. Moreover, we discuss the influence of oversampling on the global approximation behavior and the convergence speed of the sampling series.