misalignment analysis of the three-level clipping-based lms adaptive algorithm in system identification

one of the problems associated with adaptive fir filters in the identification of systems with long impulse responses, is their excessive computational complexity. recently a new kind of adaptive filters, based on three-level clipping of the input signal has been presented for reduction of their computational complexity. in this paper, a theoretical analysis of the steady-state misalignment of adaptive filter equipped with the lms algorithm, based on three-level clipping, is presented and by using it the minimum mean square error is achieved. this analysis can be a basis in the design of the above mentioned filters with appropriate clipping levels and proper step-sizes for system identification applications.