On the observability of linear systems from random, compressive measurements

  title={On the observability of linear systems from random, compressive measurements},
  author={Michael B. Wakin and Borhan Molazem Sanandaji and Tyrone L. Vincent},
  journal={49th IEEE Conference on Decision and Control (CDC)},
Recovering or estimating the initial state of a high-dimensional system can require a potentially large number of measurements. In this paper, we explain how this burden can be significantly reduced for certain linear systems when randomized measurement operators are employed. Our work builds upon recent results from the field of Compressive Sensing (CS), in which a high-dimensional signal containing few nonzero entries can be efficiently recovered from a small number of random measurements. In… CONTINUE READING
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