Limit-cycle oscillations in digital filters
- 1 November 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 18 (6) , 687-697
- https://doi.org/10.1109/tct.1971.1083367
Abstract
A deterministic analysis of limit-cycle oscillations, which occur in fixed-point implementations of recursive digital filters due to roundoff and truncation quantization after multiplication, is performed. Amplitude bounds, based upon a correlated (nonstochastic) signal approach using Lyapunov's direct method, as well as a general matrix formulation for zero-input limit cycles, are derived and tested for the two-pole filter. The limit cycles are represented on a successive-value phase-plane-type diagram from which certain symmetry properties are derived. The results are extended to include limit cycles under input-signal conditions.Keywords
This publication has 10 references indexed in Scilit:
- Roundoff-noise analysis for fixed-point digital filters realized in cascade or parallel formIEEE Transactions on Audio and Electroacoustics, 1970
- On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*Bell System Technical Journal, 1970
- QUANTIZATION EFFECTS IN DIGITAL FILTERSPublished by Defense Technical Information Center (DTIC) ,1969
- A comparison of roundoff noise in floating point and fixed point digital filter realizationsProceedings of the IEEE, 1969
- Error analysis of digital filters realized with floating-point arithmeticProceedings of the IEEE, 1969
- Correction to "A comparison of roundoff noise in floating point and fixed point digital filter realizations"Proceedings of the IEEE, 1969
- Floating-Point-Roundoff Accumulation in Digital-Filter RealizationsBell System Technical Journal, 1967
- Upper bound on dynamic quantization error in digital control systems via the direct method of LiapunovIEEE Transactions on Automatic Control, 1965
- Quantization errors in digital control systemsIEEE Transactions on Automatic Control, 1964
- The effect of quantization in sampled-feedback systemsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1958