PROJECT TITLE :
Comparison of the Achievable Rates in OFDM and Single Carrier Modulation with I.I.D. Inputs
We have a tendency to compare the most achievable rates in single-carrier (SC) and orthogonal frequency-division multiplexing (OFDM) modulation schemes, below the practical assumptions of independent identically distributed finite alphabet inputs and linear intersymbol interference with additive Gaussian noise. We show that the Shamai-Laroia approximation serves as a bridge between the 2 rates: while it's well known that this approximation is typically a lower bound on the SC achievable rate, it's revealed to also primarily higher sure the OFDM achievable rate. We apply data-estimation relations in order to carefully establish this result for each general input distributions and to sharpen it for commonly used pulse-amplitude modulation (PAM) and quadratic-amplitude modulation constellations. To the present end, novel bounds on minimum mean-sq. error estimation of PAM inputs to a scalar Gaussian channel are derived, that could be of general interest. Our results show that, underneath affordable assumptions, optimal SC schemes might offer spectral efficiency significantly superior to that of OFDM, motivating further research of such systems.
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