Non-Wiener solutions for the LMS algorithm-a time domain approach

A time domain analysis of the LMS algorithm is presented for a sinusoidal deterministic reference input. For the sinusoidal reference input only, the N-dimensional time-varying linear matrix recursion for the weight vector is solved using a 2-D orthogonal subspace decomposition. Using this weight vector solution, it is shown that there exists a linear time-invariant relationship between the desired input and the filter output.<
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