Maximum-likelihood detection of nonlinearly distorted multicarrier symbols by iterative decoding

This paper proposes a new method for decoding multicarrier symbols with severe nonlinear distortion. The first part evaluates mutual information expressions for practical nonlinear models and shows the performance bounds for commonly used receiver structures. Then, we derive the maximum-likelihood (ML) sequence estimator, which unfortunately has an exponential complexity due to the nonlinear distortion. This extremely large complexity can be reduced with a simple algorithm that iteratively estimates the nonlinear distortion, thereby reducing the exponential ML to the standard ML without nonlinear distortion. The proposed method can be used to reduce the peak-to-average power ratio of multicarrier signals by clipping the transmit sequence. It can also be used to correct any nonlinear distortion present in transmitter/receiver amplifiers that are operating close to saturation.

I. Introduction

Multicarrier modulation has many well-known advantages [1]–[4] and has recently found use in many applications in both baseband and passband transmission. Some of the most well-known applications are digital subscriber line (DSL) over wired media using discrete multitone (DMT) [5], and digital audio broadcasting (DAB) [6] or digital video broadcasting (DVB) [7] for wireless communications using orthogonal frequency-division multiplexing (OFDM).