Energy-based probabilistic amplitude shaping

A wireless communication device comprising:

• at least one modem;
• at least one processor communicatively coupled with the at least one modem;
• and
• at least one memory communicatively coupled with the at least one processor and storing processor-readable code that, when executed by the at least one processor in conjunction with the at least one modem, is configured to:
• generate a plurality (k) of information bits, wherein k is an integer greater than 1;
• perform an encoding operation on the plurality of information bits, the encoding operation having a plurality of iterations and including:
• determine a first cumulative sequence quantity, wherein the first cumulative sequence quantity defines a set of all sequences having a length n and an energy equal to or less than a first energy amount and belonging to an alphabet;
• perform a first function on the plurality of information bits, the first function generating a first number within a first interval;
• determine that the first number corresponds to a first subset of the set of all sequences;
• and
• reduce the first interval to exclude a portion of the set of all sequences outside of the first subset, thereby defining a second interval and, wherein the second interval corresponds to an energy for amplitude modulation of the plurality of information bits;
• in a first iteration, select a first energy transition value based at least in part on a first transition probability associated with the first energy transition value;
• reduce the energy for amplitude modulation by an amount associated with the first energy transition value;
• define a first subinterval from the second interval, the first subinterval corresponding to the first energy transition value;
• in a second iteration, select a second energy transition value based at least in part on a second transition probability associated with the second energy transition value;
• and
• define a second subinterval from the first subinterval, the second subinterval corresponding to the second energy transition value;
• transmit a wireless packet to at least one receiving device based on a first sequence, wherein the first sequence is generated from the plurality of iterations and has n amplitude symbols from the plurality of iterations, where n is equal to a total quantity of the plurality of iterations, and wherein each of the n amplitude symbols corresponds to a respective energy transition value of a plurality of energy transition values.

A wireless communication device configured to perform an encoding operation on a plurality (k) of information bits, the wireless communication device comprising:

• means for determining a first energy of an output sequence, the first energy of the output sequence being between zero and a defined maximum energy;
• means for performing a plurality of encoding iterations, each one of the encoding iterations selecting an amplitude symbol based upon a plurality of transition probabilities and constrained by a residual energy and a residual sequence length;
• and
• means for transmitting a wireless packet to at least one receiving device based on the output sequence, wherein the output sequence is generated from the plurality of encoding iterations and has n amplitude symbols from the plurality of encoding iterations, where n is equal to a quantity of the plurality of encoding iterations, and wherein the output sequence has the first energy.