9 papers
Beyond 1N Decoding: Capacity-Aware Rateless Polar Codes for IR-HARQ
Huazi Zhang, Xianbin Wang, Jiajie Tong +2
This paper introduces a novel framework for polar codes, designed for flexible Incremental Redundancy Hybrid Automatic Repeat Request (IR-HARQ). By generalizing the decoding order…
Stitched Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang +4
In this paper, we introduce stitched polar codes, a novel generalization of Arıkan's regular polar codes. Our core methodology reconfigures the fundamental polarization process by…
Partial Orders in Rate-Matched Polar Codes
Zhichao Liu, Liuquan Yao, Yuan Li +4
In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC) and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar…
Coded Water-Filling for Multi-User Interference Cancellation
Yuan Li, Zicheng Ye, Huazi Zhang +3
In this paper, we study the system-level advantages provided by rateless coding, early termination and power allocation strategy for multiple users distributed across multiple cell…
On the Weight Spectrum of Rate-Compatible Polar Codes
Zicheng Ye, Yuan Li, Zhichao Liu +4
The weight spectrum plays a crucial role in the performance of error-correcting codes. Despite substantial theoretical exploration of polar codes with mother code length, a framewo…
Achievability Bounds on Unequal Error Protection Codes
Liuquan Yao, Shuai Yuan, Yuan Li +4
Unequal error protection (UEP) codes can facilitate the transmission of messages with different protection levels. In this paper, we study the achievability bounds on UEP by the ge…
New Partial Orders of Polar Codes for BMSC
Liuquan Yao, Zhichao Liu, Yuan Li +4
In this paper, we define partial orders (POs) of polar codes based on the Bhattacharyya parameter and the bit-error probability, respectively. These POs are applicable to arbitrary…
Second-Order Identification Capacity of AWGN Channels
Zhicheng Liu, Yuan Li, Huazi Zhang +3
In this paper, we establish the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC). On the one hand, we obtain a re…
Theoretical Bounds for the Size of Elementary Trapping Sets by Graphic Methods
Haoran Xiong, Zicheng Ye, Huazi Zhang +6
Elementary trapping sets (ETSs) are the main culprits for the performance of LDPC codes in the error floor region. Due to the large quantity, complex structures, and computational…