Abstract
This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies I − At A≽0, and thus the realizations are free of limit cycles.
| Original language | English |
|---|---|
| Pages (from-to) | 928-930 |
| Number of pages | 3 |
| Journal | IEEE Transactions on Acoustics, Speech, and Signal Processing |
| Volume | 32 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1984 Aug |
ASJC Scopus subject areas
- Signal Processing
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Kawamata, M., & Higuchi, T. (1984). On the Absence of Limit Cycles in a Class of State-Space Digital Filters Which Contains Minimum Noise Realizations. IEEE Transactions on Acoustics, Speech, and Signal Processing, 32(4), 928-930. https://doi.org/10.1109/TASSP.1984.1164384