Nonuniform decimation and reconstruction of generalized-bandlimited MD signals

The nonuniform decimation and reconstruction of generalized-bandlimited multidimensional (MD) signals are discussed. An example which shows the feasibility of reconstructing an MD signal from its nonuniformly decimated version. This idea is extended to the general case, and the theory and design of synthesis filters for reconstruction are discussed. The conditions for the feasibility of perfect reconstruction and the efficient polyphase implementation of synthesis filters are addressed.<<ETX>>