Efficient reduced complexity windowed optimal time domain equalizer for discrete multitone-based DSL modems

A receiver for use in a digital data transmission system where digital data is received in frames, and each of the frames includes a guard band of a given length, said receiver including a time-domain equalizer followed by demodulation and decoding circuitry, and an initialization processor, for computing operating parameters of the equalizer, the improvement comprising:

• said initialization processor computing, for a window of length equal to said length by employing a linear transform of an eigenvector corresponding to the smallest eigenvalue of a matrix derived from an impulse response of a channel through which said digital data passed before arriving at said receiver
• where the initialization processor determines a window of maximum energy in an impulse response of length equal to or less than a number of the guard band samples associated with the received digital data;
• computes corresponding inner and outer matrices;
• performs an inverse Cholesky decomposition of the inner matrix;
• and
• creates a resultant matrix as the product of the outer matrix and an upper and lower square root inner matrix;
• and
• sets parameters of said time domain equalizer to correspond do the linear transformation of an eigenvector corresponding to the smallest eigenvalue of said resultant matrix.