Communications Blockset™

Hamming Encoder - Create Hamming code from binary vector data

Library

Block sublibrary of Channel Coding

Description

The Hamming Encoder block creates a Hamming 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. Then K equals N-M.

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.

The coding scheme uses elements of the finite field GF(2^M). You can either specify the primitive polynomial that the algorithm should use, or you can rely on the default setting:

• To use the default primitive polynomial, simply enter N and K as the first and second dialog parameters, respectively. The algorithm uses gfprimdf(M) as the primitive polynomial for GF(2^M).

• To specify the primitive polynomial, enter N as the first parameter and a binary vector as the second parameter. The vector represents the primitive polynomial by listing its coefficients in order of ascending exponents. You can create primitive polynomials using the Communications Toolbox™ gfprimfd 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 M-degree primitive polynomial

Either the message length, which is also the input vector length; or a binary vector that represents a primitive polynomial for GF(2^M).

Pair Block

Hamming Decoder

See Also

hammgen (Communications Toolbox)

Hamming Decoder

Helical Deinterleaver