Systems and methods for providing unequal error protection code design from probabilistically fixed composition codes

A method for embedded unequal error protection decoding, comprising:

• receiving a signal that comprises encoded first data and encoded second data, wherein the first data and the second data are encoded by linear encoders so as to provide different levels of robustness to errors, wherein a code that is used to encode the first data comprises a standard code followed by a nonlinearity that creates an unequal distribution of ones and zeros in a binary representation of the code, wherein codewords in the nonlinearity are chosen to be unequal and are also chosen to maximize an average Hamming distance between the codewords;
• decoding the first data;
• and
• decoding the second data, wherein linear decoders are used to decode the first data and to decode the second data.

A wireless communication device that is configured to implement embedded unequal error protection encoding, comprising:

• a processor;
• memory in electronic communication with the processor;
• and
• instructions stored in the memory, the instructions being executable by the processor to:
• encode first data, wherein a code that is used to encode the first data comprises a standard code followed by a nonlinearity that creates an unequal distribution of ones and zeros in a binary representation of the code, wherein codewords in the nonlinearity are chosen to be unequal and are also chosen to maximize an average Hamming distance between the codewords;
• encode second data, wherein linear encoders are used to encode the first data and to encode the second data, and wherein the first data and the second data are encoded by the linear encoders so as to provide different levels of robustness to errors;
• and
• send a signal that comprises the encoded first data and the encoded second data over a channel to a receiver.

A wireless communication device that is configured to implement embedded unequal error protection decoding, comprising:

• a processor;
• memory in electronic communication with the processor;
• and
• instructions stored in the memory, the instructions being executable by the processor to:
• receive a signal that comprises encoded first data and encoded second data, wherein the first data and the second data are encoded by linear encoders so as to provide different levels of robustness to errors, wherein a code that is used to encode the first data comprises a standard code followed by a nonlinearity that creates an unequal distribution of ones and zeros in a binary representation of the code, wherein codewords in the nonlinearity are chosen to be unequal and are also chosen to maximize an average Hamming distance between the codewords;
• decode the first data;
• and
• decode the second data, wherein linear decoders are used to decode the first data and to decode the second data.