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Rate-Compatible, Bandwidth-Efficient, Low-Density Parity-Check (LDPC) Codes for Aeronautical Telemetry.

Andrew D Cummins¹, David G M Mitchell¹, Erik Perrins²

¹Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM 88003, USA.

Entropy (Basel, Switzerland)

|January 8, 2025

Summary

This summary is machine-generated.

This study explores enhancing spectrum efficiency in Advanced-Range Telemetry (ARTM) CPM by randomly puncturing and shortening Low-Density Parity-Check (LDPC) codes. Results confirm robust decoding performance for these optimized LDPC codes.

Keywords:

FEC IRIG LDPC codes avionics iterative decoding puncturing shortening spectral efficiency telemetry

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Area of Science:

Digital communications
Information theory
Coding theory

Background:

Low-density parity-check (LDPC) codes are integral to the IRIG-106 standard and used in shaped-offset quadrature phase shift keying (SOQPSK-TG) telemetry.
Recent advancements have optimized LDPC codes for continuous phase modulations (CPMs), including pulse code modulation/frequency modulation (PCM/FM) and the Advanced-Range Telemetry (ARTM) CPM, achieving near-channel capacity performance.

Purpose of the Study:

To investigate the impact of random puncturing and shortening on LDPC codes used in ARTM CPM.
To enhance spectrum efficiency for advanced telemetry systems.

Main Methods:

Asymptotic analysis of ARTM0 LDPC code ensembles.
Numerical simulations to evaluate decoding performance.

Main Results:

Demonstrated that random puncturing and shortening can improve spectrum efficiency.
Validated the robust decoding performance of LDPC codes designed for ARTM CPM through simulations.

Conclusions:

LDPC codes offer a promising solution for improving spectrum efficiency in ARTM CPM systems.
Random puncturing and shortening are effective techniques for optimizing LDPC code performance in this context.