Performance of Improved Three-Dimensional Turbo Product Code Decoder

Two-dimensional (2-D) turbo product code (TPC) has been investigated for almost ten years and commonly applied in recent years. In this paper, we propose improved schemes about three-dimensional (3-D) TPC decoder. Three different types of decoding methods arc proposed, which do not simply decode by dividing the 3-D TPC into 2-D TPC, but exchange all the extrinsic information among three directions in order to achieve better performance. We bring up a parallel optimal decoder, which efficiently reduce the 3-D TPC decoding complexity. Simulation results show that the performance of the improved parallel 3-D TPC decoder is substantially improved. Various rates can be achieved by using different component codes or by applying shortening and puncturing techniques to meet diversified applications in modern communication systems. We also give the laws for code rate regulation and an example of 3-D TPC frame structure.