Streaming communication is an essential communication scenario in optical fiber communication networks and mobile communication networks.Unlike traditional intermittent or block-oriented communication,the data transmis-sion in streaming communication exhibits typical continuous streaming characteristics.Coupled codes,compared to tradi-tional block codes,have shown significant performance improvement in streaming communication scenarios.Additionally,they inherit low encoding and decoding latency.These advantages make coupled codes an important candidate for channel coding in streaming communication scenarios.This paper first reviews existing coupled LDPC(Low-Density Parity-Check)codes,including product-like coupled LDPC codes,partially reencoded coupled LDPC codes,spatially coupled LDPC(SC-LDPC)codes,and globally coupled LDPC(GC-LDPC)codes.Following that,this paper introduces a series of improved de-signs for coupled LDPC codes based on free-ride codes,and introduces a new class of coupled LDPC codes based on block Markov superposition transmission(BMST)techniques.Finally,this paper concludes with a discussion on future prospects and research directions of the coupled LDPC codes.