| Presentation | 2008-09-11 A Note on Analytical Solution of Covariance Evolution for Regular LDPC Codes Takayuki NOZAKI, Kenta KASAI, Tomoharu SHIBUYA, Kohichi SAKANIWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The covariance evolution is a system of differential equations which gives the covariance of each random variable corresponding to the number of edges connecting to the nodes of each residual degree. Solving the covariance evolution, then we can derive the distribution of the number of check nodes of residual degree 1, which helps us to estimate the block error probability for finite-length LDPC code. Amraoui et al. resorted to intensive numerical computations to solve the covariance evolution. In this report, we consider an analytical solution of the covariance evolution. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | regular LDPC code / finite-length scaling / covariance evolution / binary erasure channel |
| Paper # | IT2008-26 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2008/9/4(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Note on Analytical Solution of Covariance Evolution for Regular LDPC Codes |
| Sub Title (in English) | |
| Keyword(1) | regular LDPC code |
| Keyword(2) | finite-length scaling |
| Keyword(3) | covariance evolution |
| Keyword(4) | binary erasure channel |
| 1st Author's Name | Takayuki NOZAKI |
| 1st Author's Affiliation | Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Kenta KASAI |
| 2nd Author's Affiliation | Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology |
| 3rd Author's Name | Tomoharu SHIBUYA |
| 3rd Author's Affiliation | Department of Mathematics, Sophia University |
| 4th Author's Name | Kohichi SAKANIWA |
| 4th Author's Affiliation | Department of Communications and Integrated Systems, Graduate School of Science and Engineering, Tokyo Institute of Technology |
| Date | 2008-09-11 |
| Paper # | IT2008-26 |
| Volume (vol) | vol.108 |
| Number (no) | 202 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |