Characterizing the Impact of Feedback Delays on Wideband Rate Adaptation

In contemporary orthogonal frequency division multiplexing (OFDM) systems, such as Long Term Evolution (LTE), LTE-Advanced, and WiMAX, a codeword is transmitted over a group of subcarriers. Since different subcarriers see different channel gains in frequency-selective channels, the modulation and coding scheme (MCS) of the codeword must be selected based on the vector of signal-to-noise-ratios (SNRs) of these subcarriers. Exponential effective SNR mapping (EESM) maps the vector of SNRs into an equivalent flat-fading SNR, and is widely used to simplify this problem. We develop a new analytical framework to characterize the throughput of EESM-based rate adaptation in such wideband channels in the presence of feedback delays. We derive a novel accurate approximation for the throughput as a function of feedback delay. We also propose a novel bivariate gamma distribution to model the time evolution of EESM between the times of estimation and data transmission, which facilitates the analysis. These are then generalized to a multi-cell, multi-user scenario with various frequency-domain schedulers. Unlike prior work, most of which is simulation-based, our framework encompasses both correlated and independent subcarriers and various multiple antenna diversity modes; it is accurate over a wide range of delays.

I. Introduction

CURRENT and next generation wireless systems, such as Long Term Evolution (LTE), LTE-Advanced, and WiMAX, have been designed to meet the incessant demand for higher data rates. They employ orthogonal frequency division multiplexing (OFDM) because it avoids inter-symbol and intra-cell interference. OFDM divides the available bandwidth into narrowband orthogonal subcarriers. To efficiently utilize the scarce bandwidth, adaptive modulation and coding (AMC), in which rate is adapted, and scheduling, in which the user that is transmitted to is adapted, are extensively utilized.