Hamming Encoder

Create Hamming code from binary vector data

Library

Block sublibrary of Error Detection and Correction

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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.

This block accepts a column vector input signal of length K. The output signal is a column 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.

• In addition, you can specify the primitive polynomial as a character vector, for example, 'D^3 + D + 1'.

For information about the data types each block port supports, see the Supported Data Type table on this page.

Parameters

Codeword length N

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

Message length K, or M-degree primitive polynomial

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

Supported Data Type

Port	Supported Data Types
In	Double-precision floating point Single-precision floating point Boolean 8-, 16-, and 32-bit signed integers 8-, 16-, and 32-bit unsigned integers Fixed-point
Out	Double-precision floating point Single-precision floating point Boolean 8-, 16-, and 32-bit signed integers 8-, 16-, and 32-bit unsigned integers Fixed-point

Pair Block

Hamming Decoder

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a