Protograph Designing of P-LDPC Codes via M³ Method.

Area of Science:

• Coding Theory
• Digital Communications
• Information Theory

Background:

• Designing protograph (mother code) for P-LDPC codes presents challenges in achieving both a good waterfall region and a low error floor.
• Existing research on constructing P-LDPC codes for joint source channel coding (JSCC) is limited.
• The mesh model-based merging (M3) method and basic graph models were recently proposed for double protograph P-LDPC code pair construction in JSCC.

Purpose of the Study:

• To improve a single P-LDPC code to verify the availability of the M3 method.
• To construct a new family of channel codes with enhanced performance characteristics.
• To demonstrate a structured design approach for hardware-friendly codes.

Main Methods:

• Improvement of a single P-LDPC code structure, distinct from the channel code in JSCC.
• Utilizing the mesh model-based merging (M3) method for code construction and verification.
• Designing structured protograph-based low-density parity-check codes.

Main Results:

• A novel family of channel codes was generated.
• The proposed codes exhibit lower power consumption.
• The new codes demonstrate higher reliability compared to existing methods.
• The structured design proved to be hardware-friendly.

Conclusions:

• The improved P-LDPC code construction is effective and verifies the M3 method's applicability.
• The proposed channel codes offer a superior trade-off between power consumption and reliability.
• The structured design facilitates hardware implementation, making the codes practical for various applications.