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On the one hand, sign-bit shaping is a popular shaping scheme where the conditional probability of the sign bit is made non-equiprobable. On the other hand, probabilistic amplitude shaping (PAS) is a popular coding scheme, to combine…

Information Theory · Computer Science 2023-03-01 Vincent Corlay , Hamidou Dembele

We introduce a trainable coded modulation scheme that enables joint optimization of the bit-wise mutual information (BMI) through probabilistic shaping, geometric shaping, bit labeling, and demapping for a specific channel model and for a…

Information Theory · Computer Science 2020-04-15 Fayçal Ait Aoudia , Jakob Hoydis

This paper investigates generic signal shaping methods for multiple-data-stream generalized spatial modulation (GenSM) and generalized quadrature spatial modulation (GenQSM) based on the maximizing the minimum Euclidean distance (MMED)…

Signal Processing · Electrical Eng. & Systems 2019-01-29 Shuaishuai Guo , Haixia Zhang , Peng Zhang , Shuping Dang , Liang Cong , Mohamed-Slim Alouini

Autoencoder-based geometric shaping is proposed that includes optimizing bit mappings. Up to 0.2 bits/QAM symbol gain in GMI is achieved for a variety of data rates and in the presence of transceiver impairments. The gains can be harvested…

Information Theory · Computer Science 2019-07-22 Rasmus T. Jones , Metodi P. Yankov , Darko Zibar

An autoencoder is used to optimize bit-to-symbol mappings for geometric constellation shaping. The mappings allow for net rate adaptivity without additional hardware complexity, while achieving up to 300km of transmission distance compared…

Signal Processing · Electrical Eng. & Systems 2023-01-04 Ognjen Jovanovic , Metodi P. Yankov , Francesco Da Ros , Darko Zibar

In this paper, probabilistic shaping is numerically and experimentally investigated for increasing the transmission reach of wavelength division multiplexed (WDM) optical communication system employing quadrature amplitude modulation (QAM).…

In this paper we carry out a joint optimization of probabilistic (PS) and geometric shaping (GS) for four-dimensional (4D) modulation formats in long-haul coherent wavelength division multiplexed (WDM) optical fiber communications using an…

Huffman-coded sphere shaping (HCSS) is an algorithm for finite-length probabilistic constellation shaping, which provides nearly optimal energy efficiency at low implementation complexity. In this paper, we experimentally study the…

Signal Processing · Electrical Eng. & Systems 2020-08-07 Pavel Skvortcov , Ian Phillips , Wladek Forysiak , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons , David S. Millar

Multiple-input multiple-output (MIMO) transceiver design and probabilistic shaping (PS) are key enablers for high spectral efficiency in 6G wireless networks. This work proposes a distribution-aware MIMO transceiver optimized for PS…

Signal Processing · Electrical Eng. & Systems 2026-03-16 Tzu-Hsuan Chou , Chih-Hao Liu , Jing Jiang

The performance of bit-interleaved coded modulation (BICM) with bit shaping (i.e., non-equiprobable bit probabilities in the underlying binary code) is studied. For the Gaussian channel, the rates achievable with BICM and bit shaping are…

Information Theory · Computer Science 2010-01-19 Albert Guillen i Fabregas , Alfonso Martinez

In this paper, we study amplitude shaping schemes for the probabilistic amplitude shaping (PAS) framework as well as algorithms for constant-composition distribution matching (CCDM). Huffman-coded sphere shaping (HCSS) is discussed in…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons , Helmut Griesser

Generalized spatial modulation (GSM) is a spectral-efficient technique used in multiple-input multiple-output (MIMO) wireless communications when the number of radio frequency chains at the transmitter is less than the number of transmit…

Information Theory · Computer Science 2020-08-11 Lakshit Singla , Lakshmi Natarajan

Spatial Modulation (SM) can utilize the index of the transmit antenna (TA) to transmit additional information. In this paper, to improve the performance of SM, a non-uniform constellation (NUC) and pre-scaling coefficients optimization…

Information Theory · Computer Science 2023-10-25 Xinghao Guo , Hanjiang Hong , Yin Xu , Yi-yan Wu , Dazhi He , Wenjun Zhang

A many-to-one mapping geometric constellation shaping scheme is proposed with a fixed modulation format, fixed FEC engine and rate adaptation with an arbitrarily small step. An autoencoder is used to optimize the labelings and constellation…

Signal Processing · Electrical Eng. & Systems 2023-07-20 Metodi P. Yankov , Ognjen Jovanovic , Darko Zibar , Francesco Da Ros

Approaching Shannon's capacity via geometric shaping has usually been regarded as challenging due to modulation and demodulation complexity, requiring look-up tables to store the constellation points and constellation bit labeling. To…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Ali Mirani , Erik Agrell , Magnus Karlsson

This paper proposes a novel reconfigurable intelligent surface (RIS)-assisted generalized receive quadrature spatial modulation (RIS-GRQSM) scheme to enhance the spectral efficiency (SE) of RIS-aided \textit{quadrature} spatial modulation…

Information Theory · Computer Science 2025-12-09 Mohamad H. Dinan , Khatereh Nadali , Mark F. Flanagan

Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against…

Signal Processing · Electrical Eng. & Systems 2024-01-08 Sebastiaan Goossens , Yunus Can Gültekin , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Alex Alvarado

In this paper, we propose a transmission mechanism for a reconfigurable intelligent surface (RIS)-assisted millimeter wave (mmWave) system based on cluster index modulation (CIM), named best-gain optimized cluster selection CIM (BGCS-CIM).…

Signal Processing · Electrical Eng. & Systems 2023-07-11 Mahmoud Raeisi , Asil Koc , Ibrahim Yildirim , Ertugrul Basar , Tho Le-Ngoc

A scheme is proposed that combines probabilistic signal shaping with bit-metric decoding. The transmitter generates symbols according to a distribution on the channel input alphabet. The symbols are labeled by bit strings. At the receiver,…

Information Theory · Computer Science 2014-04-22 Georg Böcherer

Bit-interleaved coded modulation with iterative decoding (BICM-ID) offers very good error performance over additive white Gaussian noise (AWGN) and fading channels if it uses a wisely designed signal mapping. Further, error performance of…

Information Theory · Computer Science 2017-01-06 Hassan M. Navazi , Md. Jahangir Hossain
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