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Error Correcting Decoder

Error Correcting Decoder. Gergely Czuczy <phoemix@harmless.hu>. Codetable. τ '’. HNN. c’. τ. c. Codetable. BSC(p). c. τ. v. c. τ. Codetable. τ '’. Hammin. c’. τ. c. The Problem. The solution. GUI design using the FOX-toolkit Object-Oriented program design with C++

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Error Correcting Decoder

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  1. Error Correcting Decoder Gergely Czuczy <phoemix@harmless.hu>

  2. Codetable τ'’ HNN c’ τ c Codetable BSC(p) c τ v c τ Codetable τ'’ Hammin c’ τ c The Problem

  3. The solution • GUI design using the FOX-toolkit • Object-Oriented program design with C++ • Object-Oriented representation of problems • Graphical representation of the simulation statistics

  4. Implementation - Solutions • Representation of information, the messages, words, codewords and sentences • Symbols: binary values, 0 and 1 • Words: vector of symbols(01001) • Sentences: some words (010,101,011)

  5. Implementation - Codetable • Two modes: numeric and alphanumeric • Numeric mode: word length: 3, 8 words, numbers from 0 to 7 • Alphanumeric: word length: 6, 64 words, lower and uppercase letters, numbers, spaces and dots.

  6. Implementation - Codewords • Two algorithms: exhaustive search and post-verified random vector generation • Exhaustive search: Searches for the best codewords, very good product, poor efficiency • Random vector: Randomly generate codewords and verify they quality, mostly good product, fast enough

  7. Implementation - BSC • The Binary Symmetric Channel is the source of the error • The error rate is “p” • Implemented using a pseudo-random number generator

  8. Implementation – Error Decoding • The BSC damages our information, so we need to correct it • Two error correcting algorithms implemented, the Hamming-detector and an associative Hopfield Nerual Network

  9. Implementation - Hamming • Implemented as defined • Slow, but accurate

  10. Implementation - HNN • Learning algorithm: Heb’s learning rule • Detection: using the sequential indexing rule • Fast detection, but sometimes misses • Slow learning

  11. Statistics – Bit error rate

  12. Statistics – Codeword length

  13. The Application

  14. The End

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