As the increasing demand for high data-rate multimedia servicesin wireless broadband access, the advance wireless communication technologies have been developed rapidly. The Long-Term Evolution (LTE) is the new standard for wireless broadband access recently specified by the 3GPP(3rd Generation Partnership Project) on the way towards the fourth-generation mobile. In this thesis, we are interested in the 3GPP-LTE technology and focus on the turbo coding technique used therein. By employing MATLAB/Simulink, we build up the turbo codec simulation platform for 3GPP-LTE system. Two convolutional encoders that realize the concept of parallel concatenated convolutional codes (PCCCs) and a quadratic permutation polynomial (QPP) interleaver are used to implement the turbo encoder. The a posteriori probability (APP) decoder built-in Simulink is utilized to design the decoder that performs the soft-input and soft-output Viterbi Algorithm (SOVA). The zero-order hold block is used to control the number of decoding iteration for the iterative decoding process. We carry out the 3GPP-LTE turbo codec performance in the AWGN channel on the developed platform. Various cases that consider different data length, the number of decoding iteration, interleaver and decoding algorithm are simulated. The simulation results are compared to those of the Xilinx 3GPP-LTE turbo codec. The comparisons show that our turbo codec works properly and meets the LTE standard.