tailieunhanh - Báo cáo hóa học: " A family of variable step-size affine projection adaptive filter algorithms using statistics of channel impulse response"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : A family of variable step-size affine projection adaptive filter algorithms using statistics of channel impulse response | Shams Esfand Abadi and AbbasZadeh Arani EURASIP Journal on Advances in Signal Processing 2011 2011 97 ỡ EURASIP Journal on http content 2011 1 97 RESEARCH Advances in Signal Processing a Springeropen Journal Open Access A family of variable step-size affine projection adaptive filter algorithms using statistics of channel impulse response Mohammad Shams Esfand Abadi and Seyed Ali Asghar AbbasZadeh Arani Abstract This paper extends the recently introduced variable step-size VSS approach to the family of adaptive filter algorithms. This method uses prior knowledge of the channel impulse response statistic. Accordingly optimal stepsize vector is obtained by minimizing the mean-square deviation MSD . The presented algorithms are the VSS affine projection algorithm VSS-APA the VSS selective partial update NLMS VSS-SPU-NLMS the VSS-SPU-APA and the VSS selective regressor APA VSS-SR-APA . In VSS-SPU adaptive algorithms the filter coefficients are partially updated which reduce the computational complexity. In VSS-SR-APA the optimal selection of input regressors is performed during the adaptation. The presented algorithms have good convergence speed low steady state mean square error MSE and low computational complexity features. We demonstrate the good performance of the proposed algorithms through several simulations in system identification scenario. Keywords Adaptive filter Normalized Least Mean Square Affine projection Selective partial update Selective regressor Variable step-size 1. Introduction Adaptive filtering has been and still is an area of active research that plays an active role in an ever increasing number of applications such as noise cancellation channel estimation channel equalization and acoustic echo cancellation 1 2 . The least mean squares LMS and its normalized version NLMS are the workhorses of adaptive filtering. In the presence of colored input signals the LMS and NLMS algorithms have extremely slow convergence rates. To