Cycle-Free Windows of SC-LDPC Codes
Emily McMillon, Christine A. Kelley · 2022 IEEE International Symposium on Information Theory (ISIT) · 2022
In this paper, we define a window code to be the portion of an SC-LDPC code seen by a single iteration of a windowed decoder. We consider the design of SC-LDPC codes for windowed decoding via optimization of the window code. In particular, because iterative decoding is optimal on codes with cycle-free graph representations, we ask fundamental questions about the construction and parameters of cycle-free window codes. Further, we show that it is possible to have an SC-LDPC code with cycles and with cycle-free window codes.