At low frequencies, the optical response of a light emitting diode (LED) to analog intensity modulation is found to decrease, due to the junction-heating effects. This low-frequency response is analyzed using approximated I-P characteristics, and is compared with the experimental results for AlGaAs double heterojunction LED\´s. The transfer function of the low-frequency response can be expressed by

, where φ and tau
σare the degradation of the fundamental amplitude at lower frequencies normalized to higher frequencies and the thermal time constant with a value of about 10 µs, respectively. It is found that the low-frequency response correlates with the linearity of the I-P characteristics, using the low-frequency degradation factor

expressed by

in decibels and the linearity coefficient γ defined as

, where

denotes the power at 1.5 times of the basic current I
o. Also, the current dependence and modulation degree dependence on both degradation factor

and second-harmonic distortion are discussed.