A filter for separating time-limited modal signals

  title={A filter for separating time-limited modal signals},
  author={A. Pearson and J. Mocenigo},
  journal={IEEE Transactions on Automatic Control},
A two-stage deterministic filter is derived which can separate two sets of modal signals when presented with their arbitrary mixed sum on a fixed finite time interval. The assumptions are 1) that the mode locations in the complex plane are known for one set (for example, a finite Fourier series has known modes relative to a given time interval) and 2) the two sets of modes are disjoint. Using integral operations on the mixed sum over the fixed time interval, the filter first estimates the modes… Expand
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