Upper Bound Frequencies of Two Dimensional Signals

When a signal is transmitted through a low pass filter, it is desired to recover i at the output. In practice, signals are of compact support, thus have infinite bandwidth. Low-pass filters should be designed such that the resulting error is kept within some given error criterion. In this paper we consider two dimensional signals, and calculate expressions for the uniform upper bound frequencies for certain classes of functions, such that the contribution of frequencies higher than these bounds is less than some specified value given by the error criterion.