Low density parity check (LDPC) codes for communication devices and systems

A communication device comprising:

• a communication interface;
• and
• processing circuitry that is coupled to the communication interface, wherein at least one of the communication interface or the processing circuitry configured to:
• puncture a sub-matrix column of a preliminary low density parity check (LDPC) matrix that has a variable node degree that is greater than other sub-matrix columns of the preliminary LDPC matrix to generate an LDPC matrix that includes a plurality of sub-matrices that are 81×81 size sub-matrices arranged as a left hand side matrix and a right hand side matrix, wherein the right hand side matrix includes all-zero-valued sub-matrices except for a plurality of CSI (Cyclic Shifted Identity) sub-matrices located on a main diagonal of the right hand side matrix and another diagonal that is adjacently located to right of the main diagonal of the right hand side matrix and two other CSI sub-matrices located on a left hand most column of the right hand side matrix, and wherein variable node degree of columns of the left hand side matrix is 3, wherein the plurality of CSI sub-matrices includes identity sub-matrices except for a first CSI sub-matrix with cyclic shift value of 1 that is located at a top of the main diagonal and a top of left hand most column of the right hand side matrix and a second CSI sub-matrix with cyclic shift value of 1 that is located at a bottom of the left hand most column of the right hand side matrix, and a third CSI sub-matrix with cyclic shift value of 0 that is located on the left hand most column of the right hand side matrix and in between the first CSI sub-matrix and the second CSI sub-matrix;
• encode information using an LDPC code that is a rate 7/8 LDPC code to generate an LDPC coded signal, wherein the LDPC code is characterized by the LDPC matrix, wherein the LDPC code is a systematic code, the left hand side matrix corresponds to the information, and the right hand side matrix corresponds to parity check;
• and
• transmit the LDPC coded signal to another communication device via a communication channel to be processed by the another communication device to decode the LDPC coded signal to generate estimates of the information encoded therein.

A method for execution by a communication device, the method comprising:

• puncturing a sub-matrix column of a preliminary low density parity check (LDPC) matrix that has a variable node degree that is greater than other sub-matrix columns of the preliminary LDPC matrix to generate an LDPC matrix that includes a plurality of sub-matrices that are 81×81 size sub-matrices arranged as a left hand side matrix and a right hand side matrix, wherein the right hand side matrix includes all-zero-valued sub-matrices except for a plurality of CSI (Cyclic Shifted Identity) sub-matrices located on a main diagonal of the right hand side matrix and another diagonal that is adjacently located to right of the main diagonal of the right hand side matrix and two other CSI sub-matrices located on a left hand most column of the right hand side matrix, and wherein variable node degree of columns of the left hand side matrix is 3;
• encoding information using an LDPC code that is a rate 7/8 LDPC code to generate an LDPC coded signal, wherein the LDPC code is characterized by the LDPC matrix;
• and
• transmitting, via a communication interface of the communication device, the LDPC coded signal to another communication device via a communication channel to be processed by the another communication device to decode the LDPC coded signal to generate estimates of the information encoded therein.