An algorithm for pole-zero modeling and spectral analysis
- 1 June 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Acoustics, Speech, and Signal Processing
- Vol. 34 (3), 637-640
- https://doi.org/10.1109/tassp.1986.1164843
Abstract
An explicit connection between fitting exponential models and pole-zero models to observed data is made. The fitting problem is formulated as a constrained nonlinear minimization problem. This problem is then solved using a simplified iterative algorithm. The algorithm is applied to simulated data, and the performance of the algorithm is compared to previous results.Keywords
This publication has 11 references indexed in Scilit:
- Improved spectral resolution IIPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Direct design of recursive digital filters based on a new stability testJournal of the Franklin Institute, 1984
- Accurate frequency estimation at low signal-to-noise ratioIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihoodProceedings of the IEEE, 1982
- Geometric methods for determining system poles from transient responseIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
- Recursive digital filter synthesis via gradient based algorithmsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1976
- Least Squares Estimation for a Class of Non-Linear ModelsTechnometrics, 1973
- The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables SeparateSIAM Journal on Numerical Analysis, 1973
- Optimal least squares time-domain synthesis of recursive digital filtersIEEE Transactions on Audio and Electroacoustics, 1973
- On the asymptotic eigenvalue distribution of Toeplitz matricesIEEE Transactions on Information Theory, 1972