US Patent 10516503 Distribution matcher

A communication system includes a data source to receive a block of bits, a processor, a memory, in connection with the processor, to store a distribution matcher associated with a probability mass function (PMF) configured to match a block of equally likely input bits to a fixed number of output bits with values distributed according to the PMF of the distribution matcher using the processor. In this case, the distribution matcher contains a set of parallel binary distribution matchers which specify fully a target PMF, and a transmitter front end to transmit a block of shaped bits over a communication channel, such that bits in a sequence of the blocks of shaped bits are distributed according to the target PMF.