Communication system and method

A transmitting apparatus comprising:

• a binary to n-ary conversion unit for converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• an encoding unit for generating a ternary transmit sequence comprised of a nonbinary error correction code, based on said ternary information sequence;
• a parity generation unit for generating a parity for said ternary transmit sequence;
• and
• a modulator for modulating said n-ary transmit sequence, said ternary transmit sequence, and said parity generated by said parity generation unit into a 3n-ary signal for transmission.

A receiving apparatus comprising:

• a demodulator for demodulating a 3n-ary received signal to produce an n-ary received sequence, a ternary received sequence, and a received parity, where n is an integer exceeding 1;
• a parity generation unit for generating a parity for said ternary received sequence;
• a parity comparison unit for comparing said parity generated by said parity generation unit with said received parity to determine a parity difference therebetween;
• a first decoding unit for decoding said ternary received sequence by using said parity difference and a method of decoding a nonbinary error correction code to produce a ternary decoded sequence;
• a second decoding unit for correcting said n-ary received sequence according to contents of correction of said ternary received sequence performed by said first decoding unit to produce an n-ary decoded sequence;
• and
• an n-ary to binary converting unit for producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A communication method for transmitting and receiving signals over a transmission line, said method comprising the steps of:

• a transmitting apparatus converting a binary transmit signal into an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• said transmitting apparatus generating a ternary transmit sequence comprised of a nonbinary error correction code, based on said ternary information sequence;
• said transmitting apparatus generating a parity for said ternary transmit sequence;
• said transmitting apparatus modulating said n-ary transmit sequence, said ternary transmit sequence, and said parity into a 3n-ary signal to send the 3n-ary signal to a receiving apparatus;
• said receiving apparatus demodulating a 3n-ary received signal sent from said transmitting apparatus and received by said receiving apparatus to produce an n-ary received sequence, a ternary received sequence, and the received parity;
• said receiving apparatus generating a parity for said ternary received sequence;
• said receiving apparatus comparing said parity generated for said ternary received sequence with said received parity to determine a parity difference therebetween;
• said receiving apparatus decoding said ternary received sequence by using said parity difference and a method of decoding a nonbinary error correction code, to produce a ternary decoded sequence;
• said receiving apparatus correcting said n-ary received sequence according to contents of correction of said ternary received sequence, to produce an n-ary decoded sequence;
• and
• said receiving apparatus producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A method of transmitting a signal comprising the steps of:

• converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• generating a ternary transmit sequence that includes a nonbinary error correction code, based on said ternary information sequence;
• generating a parity for said ternary transmit sequence;
• and
• modulating said n-ary transmit sequence, said ternary transmit sequence, and said parity into a 3n-ary signal to transmit the 3n-ary signal.

A method of receiving a signal comprising the steps of:

• demodulating a 3n-ary received signal to obtain an n-ary received sequence, a ternary received sequence, and a received parity, where n is an integer exceeding 1;
• generating a parity for said ternary received sequence;
• comparing said parity generated for said ternary received sequence with said received parity to determine a parity difference therebetween;
• decoding said ternary received sequence by using said parity difference and a method of decoding a nonbinary error correction code, to produce a ternary decoded sequence;
• correcting said n-ary received sequence according to contents of correction of said ternary received sequence, to produce an n-ary decoded sequence;
• and
• producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A communication system including a transmitting apparatus and a receiving apparatus for transmitting and receiving signals over a transmission line, wherein

• said transmitting apparatus comprises:
• a binary to n-ary conversion unit for converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• an encoding unit for generating a ternary transmit sequence comprised of a nonbinary error correction code, based on said ternary information sequence;
• and
• a modulator for modulating said n-ary transmit sequence and said ternary transmit sequence into a 3n-ary signal to send the 3n-ary signal to said receiving apparatus;
• and wherein
• said receiving apparatus comprises:
• a demodulator for demodulating a 3n-ary received signal sent from said transmitting apparatus and received by said receiving apparatus for producing an n-ary received sequence and a ternary received sequence;
• a first decoding unit for decoding said ternary received sequence by using a method of decoding a nonbinary error correction code to produce a ternary decoded sequence;
• a second decoding unit for correcting said n-ary received sequence according to contents of correction of said ternary received sequence performed by said first decoding unit to produce an n-ary decoded sequence;
• and
• an n-ary to binary conversion unit for producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A transmitting apparatus comprising:

• a binary to n-ary conversion unit for converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• an encoding unit for generating a ternary transmit sequence, composed of a nonbinary error correction code, based on said ternary transmission sequence;
• and
• a modulator for modulating said n-ary transmit sequence and said ternary transmit sequence into a 3n-ary signal for transmission.

A receiving apparatus comprising:

• a demodulator for demodulating a 3n-ary received signal to produce an n-ary received sequence and a ternary received sequence, where n is an integer exceeding 1;
• a first decoding unit for decoding said ternary received sequence by using a method of decoding a nonbinary error correction code to produce a ternary decoded sequence;
• a second decoding unit for correcting said n-ary received sequence, according to contents of correction of said ternary received sequence by said first decoding unit to produce an n-ary decoded sequence;
• and
• an n-ary to binary conversion unit for producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A communication method for transmitting and receiving signals over a transmission line, comprising the steps of:

• said transmitting apparatus converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• said transmitting apparatus generating a ternary transmit sequence, comprised of a nonbinary error correction code, based on said ternary information sequence;
• and
• said transmitting apparatus modulating said n-ary transmit sequence and said ternary transmit sequence into a 3n-ary signal to send the 3n-ary signal to said receiving apparatus;
• a receiving apparatus demodulating a 3n-ary received signal sent from said transmitting apparatus and received by said receiving apparatus to produce an n-ary received sequence and a ternary received sequence;
• said receiving apparatus decoding said ternary received sequence by using a method of decoding a nonbinary error correction code to produce a ternary decoded sequence;
• said receiving apparatus correcting said n-ary received sequence, according to contents of correction of said ternary received sequence, to produce an n-ary decoded sequence;
• and
• said receiving apparatus producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.

A method of transmitting a signal comprising the steps of:

• converting a binary transmit signal to an n-ary transmit sequence and a ternary information sequence, where n is an integer exceeding 1;
• generating a ternary transmit sequence, comprised of a nonbinary error correction code, based on said ternary information sequence;
• and
• modulating said n-ary transmit sequence and said ternary transmit sequence into a 3n-ary signal to transmit the 3n-ary signal.

A method of receiving a signal comprising the steps of:

• demodulating a 3n-ary received signal to produce an n-ary received sequence and a ternary received sequence;
• decoding said ternary received sequence by using a method of decoding a nonbinary error correction code to produce a ternary decoded sequence;
• correcting said n-ary received sequence, according to contents of correction of said ternary received sequence, to produce an n-ary decoded sequence;
• and
• producing a binary received signal from said n-ary decoded sequence and said ternary decoded sequence.