Dynamic range of finite-precision recursive QRD LS algorithm and its stability

It is observed that the cosine parameters generated by boundary cells will eventually reach quasi-steady-state if λ is close to one. It is shown that the quasi-steady-state and ensemble values of sine and cosine parameters are the same for all boundary cells. It is independent of the statistics of the input data sequence and the position of the boundary cell which generates the sine and cosine parameters. Simulation results are presented to support this observation. The stability under quantization effect problem is discussed, and bounds tighter than previously published work are obtained