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Orthogonal frequency division multiplexing (OFDM) has been considered forvisible light communication (VLC) thanks to its ability to boost data rates aswell as its robustness against frequency-selective fading channels. A majordisadvantage of OFDM is the large dynamic range of its time-domain waveforms,making OFDM vulnerable to nonlinearity of light emitting diodes (LEDs). DCbiased optical OFDM (DCO-OFDM) and asymmetrically clipped optical OFDM(ACO-OFDM) are two popular OFDM techniques developed for the VLC. In thispaper, we will analyze the performance of the DCO-OFDM and ACO-OFDM signals interms of error vector magnitude (EVM), signal-to-distortion ratio (SDR), andachievable data rates under both average optical power and dynamic opticalpower constraints. EVM is a commonly used metric to characterize distortions.We will describe an approach to numerically calculate the EVM for DCO-OFDM andACO-OFDM. We will derive the optimum biasing ratio in the sense of minimizingEVM for DCO-OFDM. Additionally, we will formulate the EVM minimization problemas a convex linear optimization problem and obtain an EVM lower bound againstwhich to compare the DCO-OFDM and ACO-OFDM techniques. We will prove that theACO-OFDM can achieve the lower bound. Average optical power and dynamic opticalpower are two main constraints in VLC. We will derive the achievable data ratesunder these two constraints for both additive white Gaussian noise (AWGN)channel and frequency-selective channel. We will compare the performance ofDCO-OFDM and ACO-OFDM under different power constraint scenarios.

EVM and Achievable Data Rate Analysis of Clipped OFDM Signals in Visible Light Communication