Method and transmitter for transmitting data using constellation

A transmitter configured to transmit data using a constellation with M=2m symbols, said constellation having a quantized target shaping distribution expressed as the union of N sub-constellations, N and M being integers, where for any symbol in a reference sub-constellation belonging to the N sub-constellations, there is a symbol in each of the other sub-constellations of the N sub-constellations with a same probability value, and each other sub-constellations being a shifted version of said reference sub-constellation, the transmitter comprises at least one processor configured to:

• obtain from a source of data, k groups of m−log2(N) shaping bits wherein each group of m−log2(N) shaping bits identifies one symbol xj in the reference sub-constellation, jϵ[1;k];
• input the k groups of m−log2(N) shaping bits to a systematic error correcting code to output one group of log2(N) parity bits per each symbol xj;
• for each symbol xj, identify a sub-constellation using at least the group of log2(N) parity bits and select a symbol identified by said m−log2(N) shaping bits in said identified sub-constellation;
• and
• transmit each of said k selected symbols to a receiver over a communication channel, compliant with distribution matchers that consider the sign bits as shaping bits or adapted to non-symmetric distributions.