Abstract

Limits of data rate over a wireline channel depend on the channel characteristics, the signaling or modulation scheme, and the complexity one can afford for its implementation. This article compares two signaling schemes, namely baseband and discrete multi-tone (DMT), for two example channels, one with a smooth frequency response and one with a notch frequency response, to examine how far each can push the data rate towards the maximum achievable data rate, derived from Shannon Capacity formula.

Highlights

  • T HE DEMAND for higher data rates has been on the rise over the past few decades, but has seen a dramatic increase in recent months as more people resort to the Internet both for entertainment and work during the pandemic

  • CAPACITY ANALYSIS VERSUS TIME DOMAIN SIMULATION So far, we have described statistical-based analysis methods based on the concept of Salz SNR for pulse amplitude modulation (PAM)-M and bit loading for discrete multi-tone (DMT)

  • Given a set of constraints, namely the ADC/DAC resolution, rms of random jitter, transmitter signal swing, the thermal and the integrated crosstalk noise, we have shown that the DMT signaling can achieve a data rate of 133Gb/s and 114Gb/s for the smooth channel and the notch channel, respectively, whereas the baseband signaling can accommodate a higher data rate (157.2Gb/s) for the smooth channel but a substantially lower data rate (56Gb/s) for the notch channel

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Summary

INTRODUCTION

T HE DEMAND for higher data rates has been on the rise over the past few decades, but has seen a dramatic increase in recent months as more people resort to the Internet both for entertainment and work during the pandemic. It is well known that wireline channels suffer from impairments such as frequency-dependent attenuation, reflections, crosstalk, and jitter, among others Despite these impairments, engineers have been able to increase the data rate far beyond the 3 dB bandwidth of the channel. A question still remains as to how far we can push the data rate without sacrificing the bit error rate for a given channel and its impairments It remains unclear the potential of other modulation schemes such as PAM-8 or Discrete Multi-tone (DMT), which has gained attention after the implementation reported in [5], to push the data rates higher without increasing the implementation complexity (e.g., requiring large area, more power, etc.).

CAPACITY
FREQUENCY-DEPENDENT CHANNEL
JITTER
RESIDUAL ISI
DAC AND ADC QUANTIZATION NOISE
MAXIMUM RATE CHARACTERIZATION
SIMULATION RESULTS
CONCLUSION
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