A new iterative algorithm for finding the minimum sampling frequency of multiband signals

Authors:
Yuan-Pei Lin;Yi-De Liu;See-May Phoong
Affiliations:
Department of Electrical and Control Engineering, National Chiao Tung University, Hsinchu, Taiwan;Department of Electrical and Control Engineering, National Chiao Tung University, Hsinchu, Taiwan;Department of Electrical Engineering and Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

In this correspondence, we propose a new iterative algorithm for finding the minimum sampling frequency of a signal that consists of multiple bandpass signals. This finds important application in software radio where it is desirable to downconvert multiple bandpass signals simultaneously. We will derive a new set of conditions for alias-free sampling. The minimum sampling frequency can be found by iteratively increasing the sampling frequency to meet the alias-free conditions. We will show how the algorithm can be generalized to find alias-free sampling frequency intervals. Simulations will be given to demonstrate the usefulness of the proposed method.