Frequency Scaling of Adaptive Digital Filter Design by Poleplacement Technique

This research proposes using poleplacement technique to achieve adaptive filter design. Digital control concept is also deployed in the design scheme for practical computer control use. Frequency scaling is current well known skill to scale low-pass prototype filter into another low-pass filter. It is a mathematical methodology to have the passband change. Here, poleplacement approach is used to shift poles of the original low-pass prototype filter to the desired poles location so that a new filter which has the desired passband and the desired cut-off frequency can be obtained. This approach potentially makes filters possess adaptive performances, and the filter system can be controlled by digital computer. The responses of the frequency transformed filters and the responses of the state feedback digital controlled filters are also compared to show the feasibility of this approach in this paper