Modified givens rotations for inverse updating in qr decomposition
The standard RLS algorithm involves computing matrix inverse at each step which causes numerical instability issues.
Of these, Givens rotation has better performance compared to other methods even with lesser number of bits.
In , the author discusses different methods based on the dynamic computation of the SNR values to determine the optimum number of filter taps with varying channel conditions.
An implementation of adaptive filtering is complex due to the algorithms involved.
There are different algorithms and architectures proposed in the literature which includes Gram-Schmidt orthogonalization, modified Gram-Schmidt orthogonalization [2, 3], Givens rotation [4–11], householder transformations , and various other hybrid methods [13, 14].
Gram-Schmidt (GS) algorithm offers reduced accuracy and stability in fixed precision environment.
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