Analytical design of multidimensional IIR digital notch filter

This paper is concerned with the multidimensional (M-D) IIR notch filter design problem. First, a dimension updating formula is derived to reduce the M-D notch filter design problem to two types of 1-D filter design problems. Then, we develop a simple algebraic method for the design of two types of 1-D IIR filters. This approach not only has closed form transfer function but also satisfies bounded input/output (BIBO) stability condition. Finally, one example is used to demonstrate the performance of the proposed method and an efficient implementation is presented.