Higher-Order Polar-Coded Modulation for Asymmetric Channels

This thesis proposes a coded modulation scheme to implement probabilistic shaping with arbitrary symbol distributions. The considered scheme is based on polar codes, a class of capacity-achieving, linear block codes with state-of-the-art finite-length performance and an explicit construction. The scheme is analysed from a theoretical standpoint as well as with numerical simulations. Furthermore, an extension to this scheme for state-dependent shaping is proposed, as well as an application to dirty paper coding. The effectiveness of this extension is shown in numerical simulations and its convergence properties are discussed.     «

This thesis proposes a coded modulation scheme to implement probabilistic shaping with arbitrary symbol distributions. The considered scheme is based on polar codes, a class of capacity-achieving, linear block codes with state-of-the-art finite-length performance and an explicit construction. The scheme is analysed from a theoretical standpoint as well as with numerical simulations. Furthermore, an extension to this scheme for state-dependent shaping is proposed, as well as an application to dir...     »