WLS design of variable frequency response FIR filters

This paper extends the Weighted Least Squares method to designing FIR filters capable of changing, in the real-time, one of their frequency response characteristics (group delay, the width of the passband, resonance frequency or any other). The filter coefficients are polynomial functions of the parameter characterising the variable feature. The computations needed in such designs can be kept at low level if the weight function in the performance criterion is separable. The advantages of the proposed approach are illustrated by a design of a Fractional Sample Delay filter with variable delay. If this filter has to meet demanding specifications then the proposed approach provides a cheaper and more effective solution than traditional approaches based on Lagrange interpolation.