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Suspicion Distillation Gradient Descent Bit-Flipping Algorithm.

Predrag Ivaniš¹, Srdjan Brkić¹, Bane Vasić²

¹School of Electrical Engineering, University of Belgrade, 11000 Belgrade, Serbia.

Entropy (Basel, Switzerland)

|April 23, 2022

Summary

This summary is machine-generated.

We introduce SuspicionDistillation, a novel decoding algorithm for low-density parity-check (LDPC) codes. This method enhances decoding performance by assessing bit reliability, outperforming existing techniques.

Keywords:

bit-flipping algorithm decoder re-initializations gradient descent iterative decoding low-density parity-check codes

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Area of Science:

Information Theory
Coding Theory
Digital Communications

Background:

Low-density parity-check (LDPC) codes are crucial for reliable data transmission.
Efficient decoding algorithms are essential for their practical application.
Existing hard-decision decoding algorithms have limitations in performance.

Purpose of the Study:

To propose a novel, high-performance decoding algorithm for LDPC codes.
To introduce the SuspicionDistillation algorithm, a variant of gradient descent bit-flipping (GDBF).
To enhance the decoding process using reliability information and deterministic re-initialization.

Main Methods:

Developed a new bit-flipping rule based on reliability information from neighboring nodes in the Tanner graph.
Implemented a 'SuspicionDistillation' mechanism to assign and utilize suspicion levels for variable nodes.
Incorporated deterministic re-initialization of the decoder input for a generalized framework.

Main Results:

The SuspicionDistillation algorithm demonstrates significant performance improvements over state-of-the-art hard-decision decoding algorithms.
Analysis shows enhanced performance across various code lengths.
The deterministic nature allows for low-complexity implementation using basic logic gates.

Conclusions:

SuspicionDistillation offers a superior decoding approach for LDPC codes over binary symmetric channels.
The algorithm's design balances performance gains with implementation efficiency.
This novel method represents a significant advancement in LDPC code decoding.