Systematic Rate-independent Reed-Solomon (SR-RS) Erasure Correction Scheme
draft-shen-rmt-bb-fec-srrscode-01
| Document | Type |
Expired Internet-Draft
(individual)
Expired & archived
|
|
|---|---|---|---|
| Authors | BZ Shen , Erik Stauffer , Kamlesh Rath | ||
| Last updated | 2013-05-23 (Latest revision 2012-11-19) | ||
| RFC stream | Internet Engineering Task Force (IETF) | ||
| Intended RFC status | (None) | ||
| Formats | |||
| Stream | WG state | (None) | |
| Document shepherd | (None) | ||
| IESG | IESG state | Expired | |
| Consensus boilerplate | Unknown | ||
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This Internet-Draft is no longer active. A copy of the expired Internet-Draft is available in these formats:
Abstract
This document specifies a systematic rate-independent Reed-Solomon (SR-RS) Erasure correction scheme. The two properties, systematic and rate-independent, are fulfilled by Lagrange polynomial interpolation. When the number of output symbols is fixed this scheme essentially generates a Reed-Solomon (RS) code. Therefore, based on the MDS (maximum distance separable) property of RS code, this erasure correction scheme is optimal (ideal). Also in this document, a two-step fast recovering (decoding) algorithm using fast Walsh-Hadamard transform is presented for the proposed erasure correction scheme. This algorithm achieves the time complexity O(n*log2(n)), or linear if penalization implementation, such as multi-core processor, is allowed. Contents 1. Introduction...................................................3 2. Source file segmentation.......................................3 2.1. Transmit block............................................4 2.1.1. Working Blocks.......................................4 2.2. Parameter Selection.......................................4 2.3. Overview of systematic rate-independent encoding ........5 2.4. Parameters and functions used in SR-RS encoding...........6 2.5. SR-RS encoding............................................7 3. SR-RS decoder..................................................8 3.1. Overview of SR-RS decoding................................8 3.2. SR-RS decoding principle..................................9 3.3. A realization of the decoding principle: two-step SR-RS decoding (informative)........................................10 3.4. Fast decoding (informative)..............................11 3.4.1. Hadamard matrices...................................11 3.4.2. Walsh-Hadamard transform............................11 3.4.3. Fast Walsh-Hadamard transform.......................12 3.4.4. Fast SR-RS decoding using fast WHT..................13 4. Protocol IEs..................................................15 4.1. FEC Payload IEs..........................................15 4.2. Common...................................................15 4.3. Scheme Specific..........................................16 5. Conventions used in this document.............................16 6. Security Considerations.......................................17 7. IANA Considerations...........................................17 8. References....................................................17 8.1. Normative References.....................................17 8.2. Informative References...................................17 9. Acknowledgments...............................................17
Authors
BZ Shen
Erik Stauffer
Kamlesh Rath
(Note: The e-mail addresses provided for the authors of this Internet-Draft may no longer be valid.)