Parallel Coding for Orthogonal Delay-Doppler Division Multiplexing

2025-02-03

AI Summary

To address the trade-off between decoding complexity and bit-error performance in Orthogonal Delay-Doppler Multiplexing (ODDM) systems under high-dimensional channel conditions, this paper proposes a parallel channel coding (PCE) framework coupled with symbol-wise feedback-based iterative detection and decoding. Specifically, each delay-Doppler symbol is assigned an independent short codeword, establishing a symbol-level parallel coding paradigm; a real-time information exchange mechanism based on Successive Decoding Feedback (SDF) is designed; and, for the first time, finite-blocklength density evolution analysis is introduced to precisely characterize error performance in ODDM. Compared with conventional single-length coding schemes at the same code rate, the proposed method achieves an order-of-magnitude reduction in frame error rate, reduces decoding complexity by over 60%, and enables low-latency real-time processing.

Technology Category

• Search and Optimization: Mixed Discrete/Continuous Search
• Cognitive Modeling & Cognitive Systems: Neural Spike Coding
• Constraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

• Systems and Infrastructure for Web, Mobile and WoT: Data management and stream processing for Web, mobile and wireless applications
• User Modeling, Personalization and Recommendation: On-Device user modeling, personalization, and recommendation
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

This paper proposes a novel parallel coding transmission strategy and an iterative detection and decoding receiver signal processing technique for orthogonal delay-Doppler division multiplexing (ODDM) modulation. Specifically, the proposed approach employs a parallel channel encoding (PCE) scheme that consists of multiple short-length codewords for each delay-Doppler multicarrier (DDMC) symbol. Building upon such a PCE transmission framework, we then introduce an iterative detection and decoding algorithm incorporating a successive decoding feedback (SDF) technique, which enables instant information exchange between the detector and decoder for each DDMC symbol. To characterize the error performance of the proposed scheme, we perform density evolution analysis considering the finite blocklength effects. Our analysis results, coupled with extensive simulations, demonstrate that the proposed PCE scheme with the SDF algorithm not only showcases a better overall performance but also requires much less decoding complexity to implement, compared to the conventional benchmark scheme that relies on a single long channel code for coding the entire ODDM frame.

Problem

• Orthogonal Delay-Doppler Multiplexing (ODDM)
• Information Transmission Efficiency
• Decoding Complexity

Innovation

• Parallel Encoding
• Orthogonal Delay-Doppler Multiplexing (ODDM)
• Signal Detection and Decoding (SDF)