Kalman filter based equalization for digital multicarrier communications systems

A method for processing data in a Multicarrier communications system, the method comprising the computer-implemented steps of:

• receiving data from a digital subscriber line, wherein the data is modulated onto one or more carriers and includes distortion introduced by the digital subscriber line;
• determining a minimum mean square estimate of the data before the data was transmitted on the digital subscriber line;
• and
• using the minimum mean square estimate to compensate for the distortion introduced into the data by the digital subscriber line.

A receiver for equalizing analog data received from a communications channel, wherein the analog data includes distortion introduced by transmitting the data on the communications channel, the receiver comprising:

• one or more receive filters;
• one or more amplifiers;
• an analog-to-digital converter configured to convert the analog data received from the communications channel to digital data;
• and
• an equalizer configured to determine, using a Kalman filter, a minimum mean square estimate of the data received from the communications channel and to use the minimum mean square estimate to remove the distortion introduced by transmitting the analog data on the communications channel.

A computer-readable medium for processing data received from a digital subscriber line, the computer-readable medium carrying one or more sequences of one or more instructions which, when executed by one or more processors, cause the one or more processors to perform the steps of:

• receiving the data from the digital subscriber line, wherein the transmitted data is modulated onto one or more carriers and includes distortion introduced by the digital subscriber line;
• determining a minimum mean square estimate of the data before the data was transmitted on the digital subscriber line;
• and
• using the minimum mean square estimate to compensate for the distortion introduced into the data by the digital subscriber line.

A computer-readable medium for processing data in a Multicarrier communications system, the computer-readable medium carrying one or more sequences of one or more instructions which, when executed by one or more processors, cause the one or more processors to perform the steps of:

• receiving data from a digital subscriber line, wherein the data is modulated onto one or more carriers and includes distortion introduced by the digital subscriber line;
• determining a minimum mean square estimate of the data before the data was transmitted on the digital subscriber line;
• and
• using the minimum mean square estimate to compensate for the distortion introduced into the data by the digital subscriber line.