Novel Mathematical Model of Voltage Waveform Prediction for High-Speed PRBS Signal Transmission

Of specific interest in this current work, high-speed signal waveforms were evaluated and analyzed through novel mathematical modeling in time domain. Using complete math equations with accurate amplitude and phase information, the intrinsic property and transmission characteristic of a specific pseudo random binary sequence (PRBS) were further studied and presented quantitatively, where unipolar and bipolar signals at different bit rates were simultaneously considered in-depth. Transmission investigations of high-speed interconnects under pristine and degraded conditions were both conducted, and predictions of the mathematical model were all verified by circuit simulations and measurements. In addition, the corresponding eye diagram parameters were obtained and compared based on the voltage waveforms, providing a further validation of the proposed mathematical interconnect modeling method.