Standards/convolutional
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The following picture shows a (2, 1, 3) convolutional encoder | The following picture shows a (2, 1, 3) convolutional encoder | ||
with generator polynomials G<sub>1</sub> = 111 and G<sub>2</sub> = 101 : | with generator polynomials G<sub>1</sub> = 111 and G<sub>2</sub> = 101 : | ||
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+ | [[File:Convolutional encoder 2-1-3.svg|center|Convolutional encoder (2,1,3)]] | ||
= Decoders = | = Decoders = |
Revision as of 16:58, 8 July 2016
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Convolutional codes are used in communication systems for error correction. They allow to have a very low Bit Error Rate (BER) and are preferably used in the case of noisy channels.
These codes are often implemented in concatenation with a hard-decision code, such as Reed Solomon.
Definitions
A convolutional code is specified by:
-
n
: number of output bits -
k
: number of input bits -
m
: number of registers -
Gi
: then
generator polynomials
Coder
The following picture shows a (2, 1, 3) convolutional encoder with generator polynomials G1 = 111 and G2 = 101 :