ConvGenerateRscEncoder: Generate rsc encoder.

In DaniWi/Channelcoding: channelcoding

Description

Generates a recursive systematic convolutional (rsc) encoder.

Usage

ConvGenerateRscEncoder(N, M, generators)

Arguments

N	Numer of output symbols per input symbol.
M	Memory length of the encoder.
generators	Vector of octal generator polynoms (one for each non-systematic output symbol and one for the recursion).

Details

N is an integer and gives the number of output bits per input bit. N has to be at least two. M is an integer and gives the memory length of the encoder (number of shift register elements in the circuit). M has to be at least one. The generator polynoms define how the output bits are computed for each of the N output signals. The polynoms are octal numbers. See details of ConvGenerateEncoder for an example. An rsc encoder has exactly one fixed systematic output signal. The generator polynom for the systematic output doesn't have to be passed as an argument. So the generators argument contains all polynoms for non-systematic outputs and at the last position the recursion polynom. The MSB of the recursion polynom handles the input signal, the other bits handle the memory outputs. The MSB of the output polynoms handle the recursion output(!), not the original input signal. The other bits also handle the memory outputs. See 'The art of error correcting coding' (p.92f) for a detailed definition and an example.

Value

A convolutional encoder represented as a list containing: N, M, vector of generator polynoms, 3 matrices: nextState, previousState and output, rsc flag, termination vector

Author(s)

Martin Nocker

Examples

# standard rsc encoder with code-rate = 0.5
ConvGenerateRscEncoder(2,2,c(5,7))

DaniWi/Channelcoding documentation built on May 6, 2019, 1:23 p.m.