Design and analysis of second order IIR notch filters with double frequency initialization

This paper presents a new design method for notch IIR filters. The designed filters offer better transient frequency response for a given number of samples when compared to zero and projection initialization. Fine-tuning the positions of the poles to maximize the 3dB bandwidth of the transient frequency response for a given number of samples achieves the improvement. Second order filters were successfully designed for processing different numbers of samples and their performances were studied by considering their frequency responses.