The Relationship between Controllability and Observability of Discrete System and Signal Reconstruction

Both controllability and observability of discrete system and signal reconstruction are important concepts of information theory and control theory. Although the physical explanation of signal reconstruction has been referred to in document before, but controllability and observability of discrete system has not yet been seen. At the beginning of this thesis, physical explanation of controllability and observability of discrete system is given, then bridge between these two concepts is established through theoretical analysis.