First Order Correlations in Simulated and Real Digital Traffic: Importance, Study & Analysis

Abstract

<i style="mso-bidi-font-style: normal">p-q</i> <i style="mso-bidi-font-style: normal">signals</i> are defined in^1,2 as digital signals with first order correlations, they can be generated using parameters <i style="mso-bidi-font-style: normal">p</i> and <i style="mso-bidi-font-style:normal">q</i>. The TTS-MF receiver, developed in^1,2, was demonstrated to perform better than the traditional Matched Filter based receiver (STS-MF receiver), in terms of the Bit Error Rate (<i style="mso-bidi-font-style:normal">BER</i>), for positive values of <i style="mso-bidi-font-style:normal">SNR</i>, when the signals are of <i style="mso-bidi-font-style:normal">p-q</i> type. In³, it was demonstrated that the improvement of the TTS-MF receiver over the STS-MF receiver (measured as <i style="mso-bidi-font-style:normal">PRBER</i>), is highly dependent on <i style="mso-bidi-font-style:normal">p + q </i>and the <i style="mso-bidi-font-style:normal">SNR</i>. In this paper, it is demonstrated that practical <span style="mso-bidi-font-weight:bold">and statistical digital signals passing through pre-processors and wireless fading channels indeed behave like correlated <i style="mso-bidi-font-style:normal">p-q</i> <i style="mso-bidi-font-style:normal">signals</i> with respect to the applicability of the TTS-MF receiver, with <i style="mso-bidi-font-style:normal">p + q</i> that is quite distant from 1.0. This research thus conclusively lays the required ground and foundation for a new generation of receivers which can deal with practical digital signals, in baseband as well as pass-band communications.

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