A method and a system for monitoring and characterizing a person's heart condition for various medically related purposes. The method includes the steps of (a) acquiring a selected person's acoustic heart signature, (b) acquiring, substantially simultaneously, that same person's electrical heart signature, (c) choosing elements of determined interest from these two acquired signatures and selectively processing and inter- and/or cross-relating such elements, and (d) employing the results of the relating step to create a heart-condition fingerprint useful in the characterization of that person's heart condition. From a systemic point of view, that system includes (a) acoustic and electrical data-gathering devices employable to collect acoustic and electrical data from a person, and (b) processing structure operatively connected to these devices, operable to process and inter- and/or cross-relate data gathered by the devices for the purpose of generating a reportable heart-condition fingerprint of a person from whom such data has been collected.