Irregular polar code encoding

A transmitter for transmitting an encoded codeword over a data storage transferring communication channel, comprising:

• a source to accept source data to be transmitted;
• an irregular polar encoder operated by a processor to encode the source data with a polar code to produce the encoded codeword, wherein the polar code is specified by a set of regular parameters including one or combination of a parameter defining a number of data bits in the codeword, a parameter defining a data index set specifying locations of frozen bits in the encoded codeword, and a parameter defining a number of parity bits in the encoded codeword, wherein the polar code is further specified by a set of irregular parameters including one or combination of a parameter defining an irregularity of values of at least one regular parameter of the polar code, a parameter defining an irregularity of permutation of the encoded bits, a parameter defining an irregularity of polarization kernels in the polar code, and a parameter defining an irregularity in selection of de-activated exclusive-or operations on different stages of the polar encoding, and wherein the irregular polar encoder encodes the source data using the regular and the irregular parameters of the polar code;
• a modulator to modulate the encoded codeword;
• and
• a front end to transmit the modulated and encoded codeword over the data storage transferring communication channel.

A transmitter for transmitting an encoded codeword over a radio communication channel, comprising:

• a source to accept source data to be transmitted;
• an irregular polar encoder operated by a processor to encode the source data with a polar code to produce the encoded codeword, wherein the polar code is specified by a set of regular parameters including one or combination of a parameter defining a number of data bits in the codeword, a parameter defining a data index set specifying locations of frozen bits in the encoded codeword, and a parameter defining a number of parity bits in the encoded codeword, wherein the polar code is further specified by a set of irregular parameters including one or combination of a parameter defining an irregularity of values of at least one regular parameter of the polar code, a parameter defining an irregularity of permutation of the encoded bits, a parameter defining an irregularity of polarization kernels in the polar code, and a parameter defining an irregularity in selection of de-activated exclusive-or operations on different stages of the polar encoding, and wherein the irregular polar encoder encodes the source data using the regular and the irregular parameters of the polar code;
• a modulator to modulate the encoded codeword;
• and
• a front end to transmit the modulated and encoded codeword over the radio communication channel.

An encoder for transmitting an encoded codeword over a communication channel, comprising:

• an irregular polar encoder operated by a processor to encode source data with a polar code to produce the encoded codeword,
• wherein the polar code is specified by a set of regular parameters including one or combination of a parameter defining a number of data bits in the codeword, a parameter defining a data index set specifying locations of frozen bits in the encoded codeword, and a parameter defining a number of parity bits in the encoded codeword,
• wherein the polar code is further specified by a set of irregular parameters including one or combination of a parameter defining an irregularity of values of at least one regular parameter of the polar code, a parameter defining an irregularity of permutation of the encoded bits, a parameter defining an irregularity of polarization kernels in the polar code, and a parameter defining an irregularity in selection of de-activated exclusive-or operations on different stages of the polar encoding, and
• wherein the irregular polar encoder encodes the source data using the regular and the irregular parameters of the polar code
• and provides the encoded codeword to modulator for transmitting the modulated and encoded codeword over the communication channel,
• wherein the communication channel is any one of a fiber-optic communication channel, a wired communication channel, a data storage transferring communication channel and a radio communication channel.