LDPC convolutional code (LDPC-CC)

LDPC convolutional code (LDPC-CC)[1–3]

Also known as Low-density convolutional (LDC) code.

Description

Convolutional code defined by an infinite low-density parity-check matrix.

Parent

Convolutional code

Cousins

Low-density parity-check (LDPC) code — LDPC-CCs are convolutional analogues of LDPC codes.
Quasi-cyclic LDPC (QC-LDPC) code — QC-LDPC codes can be unwrapped to obtain LDPC-CCs by expressing each circulant matrix block as a power of some generating circulant matrix and replacing that generating matrix by the shift operator of the convolutional code [4].
Spatially coupled LDPC (SC-LDPC) code — Infinite-block versions of SC-LDPC are LDPC-CCs.

References

[1]: A. Jimenez Felstrom and K. S. Zigangirov, “Time-varying periodic convolutional codes with low-density parity-check matrix”, IEEE Transactions on Information Theory 45, 2181 (1999) DOI
[2]: K. Engdahl, K. Sh. Zigangirov, “To the Theory of Low-Density Convolutional Codes. I”, Probl. Peredachi Inf., 35:4 (1999), 12–28; Problems Inform. Transmission, 35:4 (1999), 295–310
[3]: M. Lentmaier, D. V. Truhachev, and K. Sh. Zigangirov, Problems of Information Transmission 37, 288 (2001) DOI
[4]: R. M. Tanner, D. Sridhara, A. Sridharan, T. E. Fuja, and D. J. Costello, “LDPC Block and Convolutional Codes Based on Circulant Matrices”, IEEE Transactions on Information Theory 50, 2966 (2004) DOI

Page edit log

Victor V. Albert (2023-05-09) — most recent

Cite as:

“LDPC convolutional code (LDPC-CC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ld_convolutional

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/convolutional/ld_convolutional.yml.