A real- time, denoise, and compress algorithm based on the wavelet transform (WT) for abdominal electrocardiograms (AECG) signals is designed. In this study an algorithm is designed which achieves an AECG with minimal noise and high compression rate (66.7%) while keeping the AECG quality at a clinically acceptable level. This is done at the first stage before extracting the fetal electrocardiogram (FECG) from the AECG. A new mother wavelet (MW) is especially designed for AECG analysis. No complex low- and high- pass reconstruction and decomposition filters, with (bi)- orthogonal properties, are needed as is traditionally the case. The algorithm can also be used to design a MW for other purposes. The algorithm is evaluated by AECG data from the Database for the Identification of Systems (DalSy) showing low MSE (Lt1.2%), RMS (Lt0.016 muVolt), and excellent visual similarity between the original and the reconstructed AECG.