Studies on a data communication system using digital matched-filter techniques Part I. Theoretical investigations†

Abstract

The mathematical analysis on which this data communication system is based is developed. For binary data transmission, a binary PSK system is developed in which the waveform corresponding to binary data is modulated onto a PSK signal (a r.f. carrier) consisting of pseudo-random binary signals (PRBS) bused on m-sequences. The optimum detection of the binary data in the presence of an additive white noise, by the digital matched-filter receiver, is investigated on analogy with the system identification (pattern-recognition) technique. For the transmission of continuous information over a noisy channel, an optimized ΔΣM-PSK system is developed, in which the continuous signal is first converted into binary waveform by delta-sigma modulation and this binary waveform is then modulated onto a PSK signal consisting of PRBS based on m-sequences. The receiver for this system is a digital matched-filter (PSK detector) followed by a ΔΣM decoder. The expressions for the output signal-to-noise ratios of the binary PSK ...