The goal of this pilot study is to test if noninvasive global mapping can guide catheter ablation defining personalized targets and improve the therapy of atrial fibrillation. It will also test the safety of such an approach. The main questions it aims to answer are: * Does ablation of targets defined by noninvasive global mapping improve rates of acute atrial fibrillation termination? * Does such a personalized ablation approach reduce arrhythmia recurrence rates? Researchers will compare the results of the personalized ablation approach with comparable patients that had undergone a conventional empirical ablation approach (pulmonary vein isolation). Participants will: * Undergo a personalized catheter ablation approach employing both a noninvasive global mapping system and a conventional intracardiac mapping system * Visit the clinic 3, 6 and 12 months after ablation for clinical follow-up * Schedule a telephone visit 9 and 24 months after ablation for clinical follow-up