optic.comm.fec.encodeLDPC

encodeLDPC(bits, param)

Encode binary sequences using a parity-check matrix of a LDPC code.

Parameters:

• bits (np.array of shape (k, N)) – Binary input sequences to be encoded. Each column is a bit sequence of length \(k\) bits.

• param (object) –

  Object containing the following attributes:

  • modestr

    Mode of operation (‘DVBS2’, ‘IEEE_802.11nD2’, or ‘AR4JA’).

  • Hnp.array of shape (n - k, n)

    Binary parity-check matrix \(H\).

  • Gnp.array of shape (k, n), optional

    Binary generator matrix \(G\).

  • systematicbool, optional

    If True, the generator matrix is assumed to be in systematic form. If False, the generator matrix is treated as a general linear transformation (default is True).

  • P1np.array of shape (m, k), optional

    Matrix used for encoding in triangular mode.

  • P2np.array of shape (m, k), optional

    Matrix used for encoding in triangular mode.

Returns:

codewords – Binary encoded codewords. Each column is a codeword of length \(n\) corresponding to the respective input bit sequence.

Return type:

np.array of shape (n, N)

References

[1] T. J. Richardson and R. L. Urbanke, “Efficient encoding of low-density parity-check codes,” IEEE Transactions on Information Theory, vol. 47, no. 2, pp. 638-656, Feb 2001.