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Gaussian Frequency Shift Keying (GFSK), a special case of Continuous Phase Modulation (CPM) schemes, is the modulation scheme chosen for achieving basic data rate of 1 Mbps with Bluetooth receivers. In this article, we present a new non-coherent demodulation technique based on the Extended Kalman Filter (EKF) that does not require the knowledge of the modulation index to detect the GFSK modulated signal in Bluetooth receivers. The paper examines the performance of our proposed receiver in the presence of Non-Gaussian impulsive noise since this type of noise is considered to be a severe noise for wireless technologies including Bluetooth. Bit Error Rate (BER) was used as the measurement metric for the performance for our proposed receiver at the physical level while Packet Error Rate (PER) and Residual Bit Error Rate (RBER) were used as the measurement metrics at the system level. Experimental results obtained for the Extended Kalman Filter detector for Non-Gaussian noise are provided.