Aliasing in Recurrently Sampled Signals With an Application to Synthetic Aperture Imaging

Recurrent sampling is an example of nonuniform sampling that occurs in multichannel systems such as analog-to-digital converters, synthetic aperture radars (SAR), and synthetic aperture sonars (SAS). While sampling theorems have been developed that guarantee that a bandlimited signal can be perfectly reconstructed from its recurrent samples, little has been said about the case where the signal is not perfectly bandlimited. We compare the impact of out-of-band energy for uniform and recurrent sampling. The results are extended to the case of sampling a wide-sense stationary (WSS) random process. An application to multichannel synthetic aperture imaging is also included to illustrate these results.