BPSK Waveform Demodulation Using an all Analog Gaussian Wavelet Transform
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A binary phase shift keying (BPSK) waveform is a ubiquitous digital communications modulation technique. Presented is a novel method of demodulating a BPSK waveform back into its constitute bits by way of an analog Gaussian wavelet transform. A comprehensive design method for an all-analog wavelet transform is presented. This includes converting the wavelet transform into a state-space form by way of a singular value decomposition of the daughter wavelets, and the design of an analog circuit implementing the wavelet transform. The Gaussian wavelet is used for its ability to capture fast transients in an input signal, which is the key factor which allows for the wavelet transform to demodulate a BPSK waveform. The validity of an all-analog transform is presented through simulations and laboratory measurements. Because of the nature of the wavelet transform this method of demodulation has great noise resilience which is demonstrated both with simulated and laboratory measured bit error rates.