This paper bounds the performance of a uniformpower\u3cbr/\u3eand a waterfilling algorithm for low-pass channels. It is\u3cbr/\u3eshown that a visible light communication channel with double\u3cbr/\u3ehetero-structure LEDs in their linear regime can be approximated\u3cbr/\u3eby a first order low-pass channel. Closed form expressions\u3cbr/\u3eare derived to relate the maximum achievable data rate (capacity)\u3cbr/\u3eand the corresponding optimum bandwidth usage to the input\u3cbr/\u3etotal (modulation) power
