Probabilistic Amplitude Shaping with Hard Decision Decoding and Staircase Codes
Artikel i vetenskaplig tidskrift, 2017

We consider probabilistic amplitude shaping (PAS) as a means of increasing the spectral efficiency of fiber-optic communication systems. In contrast to previous works in the literature, we consider probabilistic shaping with hard decision decoding (HDD). In particular, we apply the PAS recently introduced by Böcherer et al. to a coded modulation (CM) scheme with bit-wise HDD that uses a staircase code as the forward error correction code. We show that the CM scheme with PAS and staircase codes yields significant gains in spectral efficiency with respect to the baseline scheme using a staircase code and a standard constellation with uniformly distributed signal points. Using a single staircase code, the proposed scheme achieves performance within 0.57–1.44 dB of the corresponding achievable information rate for a wide range of spectral efficiencies.

staircase codes

Coded modulation

probabilistic shaping

signal shaping

hard decision decoding

error correcting codes

optical networks


Alireza Sheikh


Alexandre Graell i Amat


Gianluigi Liva

Fabian Roland Steiner

Journal of Lightwave Technology

0733-8724 (ISSN)


C3SE (Chalmers Centre for Computational Science and Engineering)



Elektroteknik och elektronik