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Related papers: Hierarchical Distribution Matching for Probabilist…

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Distribution matching and dematching (DM/invDM) are key functions in probabilistic shaping (PS). Recently techniques for low complexity implementation of DM/invDM have been well studied. Our previously proposed hierarchical DM (HiDM) is one…

Signal Processing · Electrical Eng. & Systems 2019-06-13 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

Signal Processing · Electrical Eng. & Systems 2026-01-26 Pantea Nadimi Goki , Luca Potì

Product distribution matching (PDM) is proposed to generate target distributions over large alphabets by combining the output of several parallel distribution matchers (DMs) with smaller output alphabets. The parallel architecture of PDM…

Information Theory · Computer Science 2017-02-27 Georg Böcherer , Patrick Schulte , Fabian Steiner

The hierarchical distribution matching (Hi-DM) approach for probabilistic shaping is described. The potential of Hi-DM in terms of trade-off between performance,complexity, and memory is illustrated through three case studies.

Information Theory · Computer Science 2020-02-20 Stella Civelli , Marco Secondini

Distribution matching (DM) transforms independent and Bernoulli(1/2) distributed bits into a sequence of output symbols with a desired distribution. A fixed-to-fixed length, invertible DM architecture based on shell mapping is presented. It…

Information Theory · Computer Science 2018-12-14 Patrick Schulte , Fabian Steiner

The orthogonal time frequency space with index modulation (OTFS-IM) offers flexible tradeoffs between spectral efficiency (SE) and bit error rate (BER) in doubly selective fading channels. While OTFS-IM schemes demonstrated such potential,…

Signal Processing · Electrical Eng. & Systems 2025-01-15 Kehan Huang , Min Qiu , Jinhong Yuan

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…

Information Theory · Computer Science 2018-04-04 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

This paper presents a proper generalized decomposition (PGD) based reduced-order model of hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-PGD method keeps both advantages of HiDeNN and PGD methods. The automatic…

Numerical Analysis · Mathematics 2022-01-12 Lei Zhang , Ye Lu , Shaoqiang Tang , Wing Kam Liu

A distribution matcher (DM) maps a binary input sequence into a block of nonuniformly distributed symbols. To facilitate the implementation of shaped signaling, fast DM solutions with high throughput and low serialism are required. We…

Signal Processing · Electrical Eng. & Systems 2019-02-25 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons

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

In this paper, we provide for the first time a systematic comparison of distribution matching (DM) and sphere shaping (SpSh) algorithms for short blocklength probabilistic amplitude shaping. For asymptotically large blocklengths, constant…

Signal Processing · Electrical Eng. & Systems 2020-06-01 Yunus Can Gültekin , Tobias Fehenberger , Alex Alvarado , Frans M. J. Willems

In this paper, we propose an enhanced Huffman coded orthogonal frequency-division multiplexing with index modulation (EHC-OFDM-IM) scheme. The proposed scheme is capable of utilizing all legitimate subcarrier activation patterns (SAPs) and…

Information Theory · Computer Science 2020-01-07 Shuping Dang , Shuaishuai Guo , Justin P. Coon , Basem Shihada , Mohamed-Slim Alouini

Distribution matching is a fixed-length invertible mapping from a uniformly distributed bit sequence to shaped amplitudes and plays an important role in the probabilistic amplitude shaping framework. With conventional constantcomposition…

Signal Processing · Electrical Eng. & Systems 2018-08-13 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons

The paper proposes an iterative Hidden Markov Model (HMM) for decoding a Low Density Parity Check (LDPC) code. It is demonstrated that a first-order HMM provides a natural framework for the decoder. The HMM is time-homogeneous with a fixed…

Signal Processing · Electrical Eng. & Systems 2025-09-29 Jan C Olivier , Etienne Barnard

We consider probabilistic shaping to maximize the achievable information rate of coded modulation (CM) with hard decision decoding. The proposed scheme using binary staircase codes outperforms its uniform CM counterpart by more than 1.3 dB…

Information Theory · Computer Science 2017-05-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

A distribution matcher (DM) encodes a binary input data sequence into a sequence of symbols with a desired target probability distribution. Several DMs, including shell mapping and constant-composition distribution matcher (CCDM), have been…

Information Theory · Computer Science 2019-07-30 Marcin Pikus , Wen Xu , Gerhard Kramer

Parallel, additive white Gaussian noise (AWGN) channels with an average sum power constraint are considered. It is shown how the waterfilling Shannon capacity can be approached by higher order modulation and probabilistic amplitude shaping…

Information Theory · Computer Science 2018-04-06 Fabian Steiner , Georg Böcherer , Patrick Schulte

The design of message passing (MP) algorithms on factor graphs is an effective manner to implement channel estimation (CE) in wireless communication systems, which performance can be further improved by exploiting prior probability models…

Information Theory · Computer Science 2023-03-21 Yi Song , Chuanzong Zhang , Xinhua Lu , Fabio Saggese , Zhongyong Wang

We employ chordal decomposition to reformulate a large and sparse semidefinite program (SDP), either in primal or dual standard form, into an equivalent SDP with smaller positive semidefinite (PSD) constraints. In contrast to previous…

Optimization and Control · Mathematics 2020-08-07 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

The mutual information of bit-interleaved coded modulation (BICM) systems, sometimes called the BICM capacity, is investigated at low signal-to-noise ratio (SNR), i.e., in the wideband regime. A new linear transform that depends on bits'…

Information Theory · Computer Science 2014-04-23 Erik Agrell , Alex Alvarado
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