An iterative algorithm for finding the minimum sampling frequency for two bandpass signals

In this paper, we propose an efficient algorithm for finding the minimum sampling frequency for a signal that consists of two bandpass signals. This has important application in software radio where it is desirable to down convert multiple bandpass signals simultaneously. We will derive a new set of conditions for alias-free sampling that can be checked with few computations. The minimum sampling frequency can be found by iteratively increasing the sampling frequency to meet the alias-free conditions. We will demonstrate that the proposed method has a much lower complexity than previously reported algorithms.