Nonuniform decimation and reconstruction of generalized-bandlimited MD signals

Abstract

It is well known that the data rate of bandlimited signals can be reduced without loss of information. One scheme which achieves this goal is the so-called nonuniform decimation. Recent results show that a bandlimited signal can be reconstructed from a nonuniformly decimated version. Theoretical results and efficient reconstruction methods have been addressed for one-dimensional signals. For the multidimensional case, some partial results are known. In this paper, we will discuss in detail the theory and implementation of the reconstruction of generalized-bandlimited multidimensional signals from their nonuniformly decimated versions.