Polar Code Decoding with Syndrome-Guided Node Skipping

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Solution Overview

Problem

Existing polar code decoding methods, particularly for variable-rate polar codes, face challenges in achieving high-speed decoding efficiency, especially when applied to algebraic code-based polar codes where the positions of frozen or information bits are not fixed, leading to increased complexity and latency.

Innovation Solution

A high-speed decoding method is proposed that utilizes syndrome verification to skip decoding of child nodes when the syndrome of the parent node satisfies a predetermined condition, reducing computational complexity by recursively performing syndrome calculations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If conventional polar code decoding methods are used for variable-rate polar codes, then decoding accuracy is maintained, but decoding complexity and latency increase

Engineering Contradiction:
Improvedecoding accuracyVSAvoiddecoding complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The decoding process is segmented into two distinct phases: syndrome checking phase and decoding phase. The syndrome checking phase first verifies whether the received codeword satisfies the syndrome condition without full decoding. Only if the syndrome check fails does the system proceed to the full decoding phase, thereby segmenting the workload and avoiding unnecessary complex decoding operations.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The syndrome check is performed as a preliminary action before full decoding. This preliminary verification step quickly identifies valid codewords that don't require full decoding, filtering out only those cases that need the complete decoding process, thus reducing overall complexity while maintaining accuracy.

Inventive Principle:
Principle #10Preliminary action

2Reliability

If conventional polar code decoding methods are used for variable-rate polar codes, then decoding accuracy is maintained, but decoding latency increases

Engineering Contradiction:
Improvedecoding accuracyVSAvoiddecoding latency
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The decoding process is segmented into two distinct phases: syndrome checking phase and decoding phase. The syndrome checking phase first verifies whether the received codeword satisfies the syndrome condition without full decoding. Only if the syndrome check fails does the system proceed to the full decoding phase, thereby segmenting the workload and avoiding unnecessary complex decoding operations.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The syndrome check is performed as a preliminary action before full decoding. This preliminary verification step quickly identifies valid codewords that don't require full decoding, filtering out only those cases that need the complete decoding process, thus reducing overall complexity while maintaining accuracy.

Inventive Principle:
Principle #10Preliminary action

3Adaptability or versatility

If algebraic code-based polar codes are used, then code flexibility is improved, but decoding complexity increases due to non-fixed frozen bit positions

Engineering Contradiction:
Improvecode flexibilityVSAvoiddecoding complexity
Core Design Contradiction:
Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The syndrome check is performed as a preliminary action before full decoding. This preliminary verification step quickly identifies valid codewords that don't require full decoding, filtering out only those cases that need the complete decoding process, thus reducing overall complexity while maintaining accuracy.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The syndrome check acts as an intermediary mechanism between the received signal and the full decoding process. It provides a quick validation layer that handles the flexibility of algebraic codes without requiring the full decoding complexity, mediating between the variable code structure and the decoding operation.

Inventive Principle:
Principle #24Intermediary (Mediator)

Data Source

PatentUS12574146B2Method and apparatus for fast decoding of polar codes
Publication Date: 2026.03.10 LG ELECTRONICS INC
  • US12574146B2 patent drawing
  • US12574146B2 patent drawing
  • US12574146B2 patent drawing

AI summary

The present method relates to a method by which a device receives a signal in a communication system, and an apparatus therefor, and to a method by which a reception device processes a signal in a communication system, and an apparatus therefor, the method comprising the steps of: receiving an encoded bit sequence; and decoding the encoded bit sequence in the direction from a root node to the lowest node on the basis of a binary tree structure, wherein, in the decoding step, decoding for a child node is skipped on the basis that a syndrome of a parent node satisfies a predetermined condition, and decoding for the child node is performed on the basis that the syndrome of the parent node does not satisfy the predetermined condition.