Comparison of OFDM and Ideal SC-DFE Achievable Rates and Performances Without Channel Knowledge at the Transmitter

Amanda S. de Paula, Cristiano Magalhães Panazio


This paper provides an achievable rate and performance analysis between OFDM and cyclic prefixed SC-DFE when no channel knowledge is available at the transmitter. Through some algebraic manipulation of the OFDM and SC-DFE capacities and using the Jensen's inequality, we prove that the SC-DFE achievable rate is always superior to that of an OFDM scheme for 4- and 16-QAM for any given channel. For higher-order modulations, however, the advantage of the ideal SC-DFE is much smaller and also the results indicate that OFDM may surpass the ideal SC-DFE achievable rate by a small amount in some specific scenarios. Finally, we provide simulation results in order to assess, corroborate and illustrate the analytical results in terms of achievable rate and bit-error rate, where we conclude that a well designed OFDM system can be, in practical context, as effective as an ideal SC-DFE but with much smaller complexity when compared to a SC-DFE implementation with error-propagation mitigation.


Orthogonal frequency division multiplexing; cyclic prefixed single-carrier modulation; decision-feedback equalizer; achievable rate

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