A method of estimating fetal electrocardiogram (FECG) signals utilizes a plurality of ECG signals measured along the mother's abdomen. The method includes defining an MECG (ECG) dictionary of symbols and projecting the plurality of abdominal ECG signals onto the MECG dictionary to estimate MECG signals within each of the plurality of abdominal ECG signals. The estimated MECG signals are subtracted from the plurality of measured abdominal ECG signals to estimate FECG signals and the plurality of estimated FECG signals are combined to generate a representation of the FECG source signal.