Realization of Analog-to-Digital Coders.
MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB
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A thorough understanding of analog-to-digital coding is a first step toward a new theory of digital control. As opposed to present theories which assume continuous control levels, a new theory of direct finite-level digital control may lead to more efficient implementations and better performance. Unfortunately, the mathematics of conversion of coding continuous waveforms into finite-level waveforms acceptable to computer is not well understood. Ultimately we want to understand the interaction of continuous and digital feedback, since new insights may be gained in the design of digital controllers. But before systematic design procedures can be found, we must thoroughly understand the interaction of digital machines with continuous plants through the coding and decoding processes. As a preliminary mathematical model we can assume each element on the feedback loop can be represented as a functional mapping from the set of all possible input waveforms to the set of all output waveforms. For a meaningful theory the class of input and output waveforms and the kind of functionals between them must be restricted to reflect the properties of physical elements themselves. Author
- Numerical Mathematics
- Computer Hardware