In recent years, the requirement of application such as wireless sensor networks and short-range wireless controllers caused the growing of ZigBee technology. ZigBee is a communication technology developed specifically for short-range, low rate, low-cost wireless transmission.There are some characteristic such as short-range, low rate, low cost, and low power. The ZigBee Aliance group developed the specifications of software, and IEEE 802.15.4 group developed the specifications of hardware. IEEE 802.15.4a impulse radio UWB physical layer is one of the ZigBee physical layers. In our study, we designed a baseband signal processing algorithm meeting the specifications of IEEE 802.15.4a. The data processing flow in transmitter followed the specifications. In receiver, we designed baseband algorithms based-on the non-coherent energy detection scheme. Our algorithm including packet detection, synchronization and demodulation, and considering the implementation of algorithm, reducing the complexity of hardware as possible and improving the efficiency. Finally, the system performance is 3.9dB better than the receiver sensitivity.