Fundamentals of Compressive Sensing
In this chapter we provide the reader with some fundamentals on the mathematical theory of Compressive Sensing, often referred as Compressed Sensing. In the following we use the abbreviation CS to refer to it. Very few research fields have undergone such a fast development as CS in the last ten years. The aim of this chapter is to present concepts and methods that will be used, implicitly or explicitly throughout the rest of the thesis. This chapter is, therefore, not a review of the state of the art in the field, but is intended to provide the reader with the necessary tools to understand the work presented in this thesis, why it has been done the way it was and why it works.
KeywordsDiscrete Cosine Transform Sparse Representation Compressive Sensing Sparse Signal Restrict Isometry Property
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