The transmission rate of the commercial light emitting diode is limited by modulation bandwidth in visible light communication. While there are more than one light emitting diode (LED) wicks in a lamp, so a high-speed transmission system scheme that the multi-LED wicks transmit data in a single lamp simultaneously, which utilizes the interleave-division multiple-access technology to superimpose mode in parallel and uses a single photodiode to receive data, is designed. As the driving voltage of LED is non-negative and photoelectric detector (PD) only detects the light intensity information, the transmitter structure, the receiver detection algorithm of multi-LED wicks and the decoding algorithm of repetition code based on single carrier on-off keying (OOK) modulation are proposed. And the signal noise ratio (SNR) performance evaluation algorithm based on OOK modulation is researched. Finally, compared with the multi-carrier direct current (DC)-biased optical orthogonal frequency division multiplexing under the same conditions in the simulation, the proposed scheme is more superior in the performance of anti-nonlinearity and bit error ratio (BER).