A Fast way to Design Adaptive Digital High-pass Filters

This is an extension research of [1]. In [1], frequency scaling of adaptive digital filter design algorithm is proposed. The pole placement technique is used to achieve the frequency scaling of adaptive digital filter design. In this paper, the same concept is applied for a fast way to design adaptive high-pass filters. Frequency transformation is used to transfer low-pass prototype filter into high-pass filter. State feedback is used to shift poles of the original low-pass prototype filter to the desired poles location so that a high-pass filter which has the desired passband and the desired cut-off frequency can be obtained. The responses of the frequency transformed high-pass filters and the responses of the state feedback digital controlled high-pass filters are also compared to show the feasibility of this approach in this paper.