Abstract
A noniterative method for approximating signals by a linear combination of exponentials is presented. Although the technique results in a suboptimal approximation, the continuous dependence of the suboptimal exponents i, on the integral square error ∊ is such that lim (∊ = 0) i → si, the best least squares exponents. The method is also useful for system identification, where the system is modeled by a black box and one has access only to the input and output terminals. A technique is demonstrated for finding the multiple poles of a system along with the residues at the poles when the system output to a known input is given. Advantages of the method are natural insensitivity to noise in the data and a capability for approximately determining signal order. Representative computations are made of the poles from the transient response of a conducting pipe tested at the ATHAMAS-I EMP simulator.
Original language | English (US) |
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Pages (from-to) | 928-933 |
Number of pages | 6 |
Journal | IEEE Transactions on Antennas and Propagation |
Volume | 28 |
Issue number | 6 |
DOIs |
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State | Published - Nov 1980 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering