Single carrier FDE


Hi,

I wrote a MATLAB program for single carrier cyclic prefix (SC-CP)
frequency domain equalizer (FDE)that is adapted by LMS algorithm. Based on
the simulation results, it converges well. However, when the LMS algorithm
is modified to NLMS algorithm, it couldn't converge.

If given that x[n] is the column input vector to the FDE for the kth
block, how should I normalize the step size? Is the normalization process
of the step size in frequency domain still the same as it is in the time
domain?

step_size = normalized_step_size/{Hermitian_of _x[n]*x[n]+ alpha)

where:
0 < normalized_step_size < 2
alpha is a small positive constant.
Hermitian_of_x[n] = Hermitian of x[n]

Please help. Many thanks.
.

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