A Novel multi-dimensional IIR notch filter for attenuating multiple narrowband interferences

Abstract

Notch filters are a class of filters that are used to attenuate narrowband interferences. Previously reported finite impulse response (FIR) or infinite impulse response (IIR) notch filters are predominantly limited to one-dimensional (1-D) or two-dimensional (2-D) signals. With emerging multi-dimensional (M-D) signals, such as four-dimensional (4-D) light fields and five-dimensional (5-D) light field videos, design techniques for M-D notch filters, beyond 2-D notch filters, are required to be investigated. In this dissertation, a novel M-D multi notch IIR filter is proposed to attenuate multiple narrowband interferences. The structure of the notch filter is derived by cascading notch filter pairs. Initially, 1-D filter structure is presented and afterwards it is expanded as an M-D filter. The key factor of the proposed notch filter is the flexibility of placing the notches, adding any number of notches in to M-D and bandwidth can be controlled independently. Narrowband interference attenuation has been verified using monochromatic image and a video. Capabilities of the proposed filter are compared against the existing filtering method using unity three-dimensional (3-D) signal. It is clearly noticeable that, the proposed M-D multi notch IIR filter has better performance as well as greater flexibility.