ABSTRACT

Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 Special Aspects of the Application of CS in Optical Sensing . . . . . . . . . . . . . . 73

Compressing Sensing versus Optical Physical Models . . . . . . . . . . . . . . . . 73 Linearity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Discrete-Discrete Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Values and Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74

Input Signal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Sparsity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Physical Representation Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Nonnegativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

Introduction The theory of compressive sensing (CS) has opened up new opportunities in the field of optical sensing and imaging. However, its implementation in this field is often not straightforward. In this chapter, we discuss the special issues encountered in the integration of CS in practical optical systems. We also discuss the implementation challenges that might arise in the design of optical CS systems and present some solutions to overcome them.