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Bit error probability for maximum likelihood decoding of linear block codes
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Fossorier, Marc P. C. Lin, Shu Rhee, Dojun |
| Copyright Year | 1996 |
| Description | In this paper, the bit error probability P(sub b) for maximum likelihood decoding of binary linear codes is investigated. The contribution of each information bit to P(sub b) is considered. For randomly generated codes, it is shown that the conventional approximation at high SNR P(sub b) is approximately equal to (d(sub H)/N)P(sub s), where P(sub s) represents the block error probability, holds for systematic encoding only. Also systematic encoding provides the minimum P(sub b) when the inverse mapping corresponding to the generator matrix of the code is used to retrieve the information sequence. The bit error performances corresponding to other generator matrix forms are also evaluated. Although derived for codes with a generator matrix randomly generated, these results are shown to provide good approximations for codes used in practice. Finally, for decoding methods which require a generator matrix with a particular structure such as trellis decoding or algebraic-based soft decision decoding, equivalent schemes that reduce the bit error probability are discussed. |
| File Size | 337602 |
| Page Count | 4 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19960051321 |
| Archival Resource Key | ark:/13960/t27993n94 |
| Language | English |
| Publisher Date | 1996-07-10 |
| Access Restriction | Open |
| Subject Keyword | Computer Programming And Software Error Analysis Signal To Noise Ratios Bit Error Rate Probability Theory Binary Codes Decoding Maximum Likelihood Estimates Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |