Bluetooth is a wireless technology that is widely used in consumer electronics and deployed in many industries due to its ease of use and low cost. Gaussian frequency shift keying (GFSK) is the modulation scheme used in Bluetooth receivers to achieve a basic data rate of 1 Mbps. In this article, a new non-coherent demodulation technique based on the Extended Kalman Filter (EKF) is presented to detect a GFSK modulated signal in Bluetooth receivers for AWGN channels. The bit error rate (BER), and Packet Error Rate (PER) were used as the performance metrics of the proposed receiver at both the physical and system levels. Simulation results show an improvement in the performance compared to other existing techniques presented in the literature.