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The objective of this paper is to design optimal signature matrices for binary inputs. For the determination of such optimal codes, we need certain measures as objective functions. The sum-channel capacity and Bit Error Rate (BER) measures…

Information Theory · Computer Science 2012-02-21 M. Heidari Khoozani , F. Marvasti , E. Azghani , M. Ghassemian

This paper presents a low-complexity near-maximum-likelihood-detection (near-MLD) algorithm called one-bit-sphere-decoding for an uplink massive multiple-input multiple-output (MIMO) system with one-bit analog-to-digital converters (ADCs).…

Information Theory · Computer Science 2017-12-20 Yo-Seb Jeon , Namyoon Lee , Song-Nam Hong , Robert W. Heath

The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid…

Information Theory · Computer Science 2007-07-13 M. Twitto , I. Sason , S. Shamai

Minimum achievable complexity (MAC) for a maximum likelihood (ML) performance-achieving detection algorithm is derived. Using the derived MAC, we prove that the conventional sphere decoding (SD) algorithms suffer from an inherent weakness…

Information Theory · Computer Science 2021-09-21 Mohammad Neinavaie , Mostafa Derakhtian , Sergiy A. Vorobyov

Sphere decoding (SD) of polar codes is an efficient method to achieve the error performance of maximum likelihood (ML) decoding. But the complexity of the conventional sphere decoder is still high, where the candidates in a target sphere…

Information Theory · Computer Science 2013-08-14 Kai Niu , Kai Chen , Jiaru Lin

In this paper, we propose an algorithm based on the Alternating Minimization technique to solve the uplink massive MIMO detection problem. The proposed algorithm provides a lower complexity compared to the conventional MMSE detection…

Information Theory · Computer Science 2019-02-26 Anis Elgabli , Ali Elghariani , Vaneet Aggarwal , Mark Bell

We propose the superiorization of incremental algorithms for tomographic image reconstruction. The resulting methods follow a better path in its way to finding the optimal solution for the maximum likelihood problem in the sense that they…

Optimization and Control · Mathematics 2019-04-03 Elias S. Helou , Marcelo V. W. Zibetti , Eduardo X. Miqueles

Surface codes exploit topological protection to increase error resilience in quantum computing devices and can in principle be implemented in existing hardware. They are one of the most promising candidates for active error correction, not…

Quantum Physics · Physics 2016-09-22 Bettina Heim , Krysta M. Svore , Matthew B. Hastings

Spatial Modulation (SM) is a recently developed low-complexity Multiple-Input Multiple-Output scheme that uses antenna indices and a conventional signal set to convey information. It has been shown that the Maximum-Likelihood (ML) detection…

Information Theory · Computer Science 2013-01-17 Rakshith Rajashekar , K. V. S. Hari

We consider the problem of minimizing a polynomial $f$ over the binary hypercube. We show that, for a specific set of polynomials, their binary non-negativity can be checked in a polynomial time via minimum cut algorithms, and we construct…

Optimization and Control · Mathematics 2024-05-24 Liding Xu , Leo Liberti

In this paper, a novel low-complexity detection algorithm for spatial modulation (SM), referred to as the minimum-distance of maximum-length (m-M) algorithm, is proposed and analyzed. The proposed m-M algorithm is a smart searching method…

Information Theory · Computer Science 2019-07-22 Ibrahim Al-Nahhal , Ertugrul Basar , Octavia A. Dobre , Salama Ikki

Spatial modulation (SM) is a promising multiple-input multiple-output system used to increase spectral efficiency. The maximum likelihood (ML) decoder jointly detects the transmitted SM symbol, which is of high complexity. In this paper, a…

Information Theory · Computer Science 2020-06-11 Ibrahim Al-Nahhal , Octavia A. Dobre , Salama Ikki

An asymptotically optimal trellis-coded modulation (TCM) encoder requires the joint design of the encoder and the binary labeling of the constellation. Since analytical approaches are unknown, the only available solution is to perform an…

Information Theory · Computer Science 2015-01-07 Alex Alvarado , Alexandre Graell i Amat , Fredrik Brannstrom , Erik Agrell

Maintaining the pair similarity relationship among originally high-dimensional data into a low-dimensional binary space is a popular strategy to learn binary codes. One simiple and intutive method is to utilize two identical code matrices…

Information Retrieval · Computer Science 2018-11-28 Xiaoshuang Shi , Fuyong Xing , Zizhao Zhang , Manish Sapkota , Zhenhua Guo , Lin Yang

Top-$k$ decoding is a widely used method for sampling from LLMs: at each token, only the largest $k$ next-token-probabilities are kept, and the next token is sampled after re-normalizing them to sum to unity. Top-$k$ and other sampling…

Artificial Intelligence · Computer Science 2026-02-24 Georgy Noarov , Soham Mallick , Tao Wang , Sunay Joshi , Yan Sun , Yangxinyu Xie , Mengxin Yu , Edgar Dobriban

In this paper, Sphere Decoding (SD) algorithms for Spatial Modulation (SM) are developed to reduce the computational complexity of Maximum-Likelihood (ML) detectors. Two SDs specifically designed for SM are proposed and analysed in terms of…

Information Theory · Computer Science 2013-05-31 Abdelhamid Younis , Sinan Sinanović , Marco Di Renzo , Raed Mesleh , Harald Haas

This paper considers the problem of multi-bit generative watermarking for large language models under a worst-case false-alarm constraint. Prior work established a lower bound on the achievable miss-detection probability in the finite-token…

Information Theory · Computer Science 2026-04-13 Yu-Shin Huang , Chao Tian , Krishna Narayanan

In this paper, a derandomized algorithm for sampling decoding is proposed to achieve near-optimal performance in lattice decoding. By setting a probability threshold to sample candidates, the whole sampling procedure becomes deterministic,…

Information Theory · Computer Science 2016-11-17 Zheng Wang , Shuiyin Liu , Cong Ling

Ultra-reliable low-latency communications (URLLC) demand high-performance error-correcting codes and decoders in the finite blocklength regime. This letter introduces a novel two-stage near-maximum likelihood (near-ML) decoding framework…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Yubeen Jo , Geon Choi , Yongjune Kim , Namyoon Lee

This paper considers the average complexity of maximum likelihood (ML) decoding of convolutional codes. ML decoding can be modeled as finding the most probable path taken through a Markov graph. Integrated with the Viterbi algorithm (VA),…

Information Theory · Computer Science 2016-11-17 Jie Luo
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