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Binary Cyclic Encoder - Create systematic cyclic code from binary vector data

Library

Block sublibrary of Channel Coding

Description

The Binary Cyclic Encoder block creates a systematic cyclic code with message length K and codeword length N. The number N must have the form 2^M-1, where M is an integer greater than or equal to 3.

The input must contain exactly K elements. If it is frame-based, then it must be a column vector. The output is a vector of length N.

You can determine the systematic cyclic coding scheme in one of two ways:

• To create an [N,K] code, enter N and K as the first and second dialog parameters, respectively. The block computes an appropriate generator polynomial, namely, cyclpoly(N,K,'min').

• To create a code with codeword length N and a particular degree-(N-K) binary generator polynomial, enter N as the first parameter and a binary vector as the second parameter. The vector represents the generator polynomial by listing its coefficients in order of ascending exponents. You can create cyclic generator polynomials using the Communications Toolbox cyclpoly function.

This block supports double and boolean data types.

Dialog Box

Codeword length N

The codeword length, which is also the output vector length.

Message length K, or generator polynomial

Either the message length, which is also the input vector length; or a binary vector that represents the generator polynomial for the code.

Pair Block

Binary Cyclic Decoder

See Also

cyclpoly (in the Communications Toolbox documentation)

Binary Cyclic Decoder

Binary-Input RS Encoder

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