This paper presents a detailed analysis of the QR-RLS algorithm in finite and infinite
precision environments. The mean squared values of all internal variables in steady state …

This paper presents a detailed stability analysis of the QR-RLS algorithm implemented with
finite-precision arithmetic. The recursive equations describing the quantization error …

The numerical stability of a recent QR-based fast least-squares algorithm is established from
a backward stability perspective. A stability domain approach applicable to any least …

A detailed analysis is presented of the QR-decomposition/recursive-least-square (RLS)
algorithm in infinite precision, when the input signal samples are not correlated. Equations …

It is observed that the cosine parameters generated by boundary cells will eventually reach
quasi-steady-state if lambda is close to one. It is shown that the quasi-steady-state and …

The Fast QR-Decomposition based recursive least-squares (FQRD-RLS) algorithms offer
RLS like convergence and misadjustment, at a lower computational cost, and therefore are …

This work develops relations for the mean squared value of internal variables in the fast
QRD-RLS. The objective is to derive relations based on known characteristics of input …

The family of QRD-based fast least squares algorithms is extended to complex input and
reference signals. The suitable elementary rotation for complex data is recalled and the …

The QR decomposition-based recursive least-squares (RLS) adaptive filtering (QRD-RLS)
algorithm is suitable for VLSI implementation since it has good numerical properties and can …

The effects of input signal correlation on the performance on finite-precision RLS (recursive-
least-squares) algorithms we presented. It is shown that one way to analyze finite-precision …