Computation of decision feedback equalizer coefficients with constrained feedback tap energy

A Decision Feedback Equalizer (DFE) system includes a DFE and a DFE coefficients processor. The DFE receives an uncompensated signal and operates upon the uncompensated input using DFE coefficients to produce an equalized output. The DFE coefficients processor formulates a channel estimate as a convolution matrix H. The DFE coefficients processor determines a Feed Back Equalizer (FBE) energy constraint based upon the channel estimate. The DFE coefficients processor relates the convolution matrix H to the DFE coefficients in a matrix format equation, the matrix format equation based upon the structure of the DFE, the convolution matrix, an expected output of the DFE, and the FBE energy constraint. The DFE coefficients processor formulates a recursive least squares solution to the matrix format equation and computes the recursive least squares solution to the matrix format equation to yield the DFE coefficients.