Approximations in distribution matching procedures

An apparatus for wireless communication at a first wireless device, comprising:

• one or more processors;
• memory coupled with the one or more processors;
• and
• instructions stored in the memory and executable by the one or more processors to cause the apparatus to:
• determine, for a set of information bits, an approximation of a quantity of distributed amplitude symbol sequences that each have a same length and a same transmission energy;
• perform, on the set of information bits, a distribution matching procedure using the approximation of the quantity of distributed amplitude symbol sequences to obtain a distributed amplitude symbol sequence having the same length and the same transmission energy;
• encode the distributed amplitude symbol sequence in accordance with a probabilistic constellation shaping scheme;
• and
• transmit, to a second wireless device, the encoded distributed amplitude symbol sequence.

A non-transitory computer-readable medium storing code for wireless communications by a first wireless device, the code comprising instructions executable by one or more processors to:

• determine, for a set of information bits, an approximation of a quantity of distributed amplitude symbol sequences that each have a same length and a same transmission energy;
• perform, on the set of information bits, a distribution matching procedure using the approximation of the quantity of distributed amplitude symbol sequences to obtain a distributed amplitude symbol sequence having the same length and the same transmission energy;
• encode the distributed amplitude symbol sequence in accordance with a probabilistic constellation shaping scheme;
• and
• transmit, to a second wireless device, the encoded distributed amplitude symbol sequence.