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Polar codes are widely used in modern communication systems due to their capacity-achieving properties. This paper investigates the importance of coded bits in the decoding process of polar codes and aims to determine which bits contribute…

Information Theory · Computer Science 2025-07-14 Hossam Hassan , Ali Gaber , Mohammed Karmoose , Noha Korany

With the ever-growing storage density, high-speed, and low-cost data access, flash memory has inevitably become popular. Multi-level cell (MLC) NAND flash memory, which can well balance the data density and memory stability, has occupied…

Hardware Architecture · Computer Science 2018-02-14 Haochuan Song , Frankie Fu , Cloud Zeng , Jin Sha , Zaichen Zhang , Xiaohu You , Chuan Zhang

This paper presents a polar coding scheme to achieve secrecy in block fading binary symmetric wiretap channels without the knowledge of instantaneous channel state information (CSI) at the transmitter. For this model, a coding scheme that…

Information Theory · Computer Science 2015-11-05 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Short packets make channel learning expensive. In pilot-aided transmission (PAT), a non-negligible fraction of the packet is consumed by pilots, creating a direct pre-log loss and tightening the reliability margin needed for ultra-reliable…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Geon Choi , Namyoon Lee

We show that the KLM scheme [Knill, Laflamme and Milburn, Nature {\bf 409}, 46] can be implemented using polarization encoding, thus reducing the number of path modes required by half. One of the main advantages of this new implementation…

Quantum Physics · Physics 2016-09-08 Federico M. Spedalieri , Hwang Lee , Jonathan P. Dowling

This paper investigates a complete blind receiver approach in an unknown multipath fading channel, which has multiple tasks including blind channel estimation, noise power estimation, modulation classification, channel coding recognition,…

Information Theory · Computer Science 2019-09-26 Yu Liu , Fanggang Wang

In this paper, we study the connection between polar codes and product codes. Our analysis shows that the product of two polar codes is again a polar code, and we provide guidelines to compute its frozen set on the basis of the frozen sets…

Information Theory · Computer Science 2020-04-22 Carlo Condo , Valerio Bioglio , Hartmut Hafermann , Ingmar Land

The problem of communication over binary dirty paper (DP) using nested polar codes is considered. An improved scheme, focusing on low delay, short to moderate blocklength communication is proposed. Successive cancellation list (SCL)…

Information Theory · Computer Science 2019-04-05 Barak Beilin , David Burshtein

In this paper, we consider the problem of polar coding for block fading channels, with emphasis on those with instantaneous channel state information (CSI) at neither the transmitter nor the receiver. Our approach is to decompose a block…

Information Theory · Computer Science 2017-01-24 Mengfan Zheng , Meixia Tao , Wen Chen , Cong Ling

We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a multi-user successive cancellation decoder is deployed…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

The so-called fast polar decoding schedules are meant to improve the decoding speed of the sequential-natured successive cancellation list decoders. The decoding speedup is achieved by replacing various parts of the serial decoding process…

Information Theory · Computer Science 2024-06-21 Syed Aizaz Ali Shah , Gerhard Bauch

The growing demand for higher data rates necessitates continuous innovations in wireless communication systems, particularly with the emergence of 6G. Channel coding plays a crucial role in this evolution. In 5G systems, rate-adaptive…

Known for their capacity-achieving abilities, polar codes have been selected as the control channel coding scheme for 5G communications. To satisfy the needs of high throughput and low latency, belief propagation (BP) is chosen as the…

Signal Processing · Electrical Eng. & Systems 2020-02-06 Chieh-Fang Teng , Kuan-Shiuan Ho , Chen-Hsi Wu , Sin-Sheng Wong , An-Yeu Wu

In digital baseband processing, the forward error correction (FEC) unit belongs to the most demanding components in terms of computational complexity and power consumption. Hence, efficient implementation of FEC decoders is crucial for next…

Information Theory · Computer Science 2024-06-04 Claus Kestel , Lucas Johannsen , Norbert Wehn

Since its invention, polar code has received a lot of attention because of its capacity-achieving performance and low encoding and decoding complexity. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two of…

Information Theory · Computer Science 2015-08-26 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

A rateless coding scheme transmits incrementally more and more coded bits over an unknown channel until all the information bits are decoded reliably by the receiver. We propose a new rateless coding scheme based on polar codes, and we show…

Information Theory · Computer Science 2015-08-14 Bin Li , David Tse , Kai Chen , Hui Shen

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre…

Information Theory · Computer Science 2018-10-09 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

In this paper, faulty successive cancellation decoding of polar codes for the binary erasure channel is studied. To this end, a simple erasure-based fault model is introduced to represent errors in the decoder and it is shown that, under…

Information Theory · Computer Science 2017-11-13 Alexios Balatsoukas-Stimming , Andreas Burg

It is known that the bit errors of polar codes with successive cancellation (SC) decoding are coupled. However, existing concatenation schemes of polar codes with other error correction codes rarely take this coupling effect into…

Information Theory · Computer Science 2018-12-31 Ya Meng , Liping Li , Chuan Zhang
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