Systems and methods for frequency domain realization of non-integer fractionally spaced time domain equalization

A method implemented in a communication system for training a fractionally spaced time domain equalizer (TEQ), comprising:

• performing an initialization phase;
• averaging a received signal in the system to reduce effects of noise in a channel;
• determining a channel estimate;
• aligning an ideal reference signal with the received signal;
• updating a target response filter according to a non-integer multiple of a base sampling rate;
• determining an adaptation error based on useful information both inside and outside a Nyquist band of the TEQ;
• and
• updating the TEQ according to the adaptation error.

A system for training a fractionally spaced time domain equalizer (TEQ), comprising:

• logic for setting a sampling rate of the TEQ according to a base sampling rate and an oversampling factor F0, wherein the oversampling factor F0 is between a value of 1 and 2;
• logic for determining a convergence rate and maximum number of iterations for a least mean square (LMS) process for adjusting the TEQ;
• logic for averaging a received signal in the system to reduce effects of noise in a channel;
• logic for determining a channel estimate;
• logic for aligning an ideal reference signal with the received signal;
• logic for updating a target response filter according to a non-integer multiple of the base sampling rate;
• logic for determining an adaptation error based on useful information both inside and outside a Nyquist band of the TEQ;
• and
• logic for updating the TEQ according to the adaptation error.