  Orthogonal frequency-division multiplexing (OFDM) in visible light
communications (VLC) inherits the disadvantage of high peak-to-average power
ratio (PAPR) from OFDM in radio frequency (RF) communications. The upper peak
power and lower peak power of real-valued VLC-OFDM signals are both limited by
the dynamic constraints of light emitting diodes (LEDs). The efficiency and
transmitted electrical power are directly related with the upper PAPR (UPAPR)
and lower PAPR (LPAPR) of VLC-OFDM. In this paper, we will derive the
complementary cumulative distribution function (CCDF) of UPAPR and LPAPR, and
investigate the joint distribution of UPAPR and LPAPR.
