Design of Adaptive Filters Using Least Pth Norm Algorithm

Adaptive filters play a vital role in digital signal processing applications. In this paper, a new approach for the design and implementation of adaptive filters say FIR and IIR are analyzed. The filter design is based on least pth norm algorithm and the characteristics of the individual filters are also taken into consideration. Least pth norm algorithm is considered for the design because it does not need to update weighting function and no constraints are involved during the course of optimization. Mostly the filter design is concentrated around the linear phase characteristics of the filters. With the help of minimax design of adaptive filters this approach helps to enhance the properties of LTI systems with good stability. The performances of the filters are analyzed in terms of exact noise cancellation using simulink model. With the help of MATLAB toolbox the filter properties are analyzed with various plots and tables. The simulation results of both FIR and IIR filters enables us to achieve good signal to noise ratio with the analysis of stability, causality and convergence of the filters are verified with varying coefficients.