Digital multiple notch filters are used in a variety of applications to remove or suppress multiple sinusoidal or\nnarrow-band interference in digital signals. In this paper, we propose an all-pass filter-based design framework for\ninfinite impulse response (IIR) multiple notch filters. Our approach aims to overcome the limitations of former\ntechniques through greater design capacity and performance. The proposed framework has versatility and enables\nthe tailored use of design constraints thus providing a family of possible multiple notch filter design methods. The\ndesign performance and practicality of the proposed framework are verified empirically by a series of experimental\nresults and different applications.
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