Two dimensional IIR and FIR digital notch filter design

The two-dimensional 2-D digital notch filter design problem is investigated. A simple algebraic method for 2-D infinite impulse response (IIR) notch filter design is developed. This approach not only has closed-form transfer function, but also satisfies the bounded input bounded output (BIBO) stability condition. The Lagrange multiplier method is used to design 2-D finite impulse response (FIR) notch filters. This design is optimal in least square sense. The 2-D notch filter is applied to eliminate sinusoidal or narrowband interferences superimposed on an image. Simulation results are presented to demonstrate the effectiveness of these approaches.<>