BINARY PSK/CPFSK AND MSK BANDPASS MODULATION IDENTIFIER BASED ON THE COMPLEX SHANNON WAVELET TRANSFORM

Radomír Pavlík

   This paper addresses a modulation identification method for three basic bandpass digital modulation schemes under constant envelope class: binary PSK (BPSK), binary continuous-phase FSK (CPBFSK) and MSK using the complex Shannon wavelet transform. This method does not require any restriction on the baseband signal pulse because the recognized signal is considered as bandpass carrier-modulated transmitted over a simulated noisy communication channel. A simple method for determining the mother wavelet parameters is proposed. A threshold based optimum classifier is designed to identify these three modulations buried in additive white Gaussian noise. The classification problem is examined as the classical binary hypothesis test for BPSK/{CPBFSK/MSK} and CPBFSK/MSK sourced hypotheses. The performance of this classifier is expressed in terms of the probability of correct classification for various signal-to-noise power ratios (SNR).

Keywords: complex Shannon wavelet transform, digital modulations, identification, bandpass signal

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