Transmitter, receiver, and transceiver including transmitter and receiver

A transmitter comprising:

• a plurality of encoders each configured to generate control signals for converting binary data of input data streams from among n data streams into symbol data;
• and
• a plurality of drivers configured to generate the symbol data based on the control signals, the plurality of drivers configured to transmit an output signal based on the generated symbol data through n+1 channels, based on a transmission rule defined by an encoding matrix,
• wherein
• the encoding matrix is an (n+1)×n-dimensional matrix determined based on a matrix that models a crosstalk effect between adjacent channels of the n+1 channels, to reduce the crosstalk effect, and
• each of the plurality of encoders is configured to generate the control signals based on an encoding rule defined to reduce decoding errors caused by additive white Gaussian noise (AWGN).

A receiver comprising:

• a plurality of combiners configured to combine n+1 output signals received through n+1 channels based on a reception rule defined by a decoding matrix, and the plurality of combiners configured to restore n symbols from the combined n+1 output signals;
• and
• a plurality of decoders configured to obtain n pieces of binary data based on the restored n symbols,
• wherein
• the decoding matrix is an n×(n+1)-dimensional matrix determined based on a matrix that models a crosstalk effect between adjacent channels of the n+1 channels, to reduce crosstalk effect, and
• each of the plurality of decoders is configured to obtain the binary data based on an inverse rule of an encoding rule defined to reduce decoding errors caused by additive white Gaussian noise (AWGN).