ABSTRACT
This chapter concentrates on developing filter design methods for two-dimensional signals. It explores possible ways of realizing a two-dimensional (2-D) signal processing system using fiber-optic signal processing architecture. The chapter focuses on the multi-dimension photonic signal processing proposes techniques to integrate the fields of discrete signal processing and fiber-optic signal processing, integrated photonics and/or possibly nano-photonics to establish a methodology based on physical systems that can be implemented. It introduces a technique that is ideal for lightwave signals from guided media, such as photonic fibers and photonic crystals. The chapter discusses the application of the z-transform techniques for analysis and design of fiber-optic systems. It discusses a number of 2-D filter design algorithms based on matrix decomposition of 2-D magnitude specification. The chapter describes the techniques of matrix decomposition methods of these techniques, the multiple stage singular value decomposition method performs the best whereas for direct methods, frequency sampling method produced filters with smallest errors.
