Remote medical monitoring system has being developed very fast in recent years. In order to predict complications before patient cause serious harm, we need a wearable, wireless and low power patient device to monitor their electrical charges at real time. In this paper we propose a mobile wireless Electrocardiograph monitoring and recording device based on OMAP processor. This solution takes the advantages of dual-core OMAP processor. Real time tasks such as ECG analysis are assigned to DSP core; other tasks are assigned to ARM core. The ECG monitoring device integrates WiFi to connect with Internet, it can exchange data with remote computers. With the help of this Wireless ECG monitoring system doctors can capture the patient's information easily, patients no necessity for staying in hospital.