Performance analysis of forward-backward matched-filterbank spectral estimators
- 1 July 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 46 (7) , 1954-1966
- https://doi.org/10.1109/78.700967
Abstract
The problem of complex spectral estimation is of great interest in many applications. This paper studies the general class of the forward-backward matched-filterbank (MAFI) spectral estimators including the widely used Capon as well as the more recently introduced amplitude and phase estimation of a sinusoid (APES) methods. In particular, we show by means of a higher order expansion technique that the one-dimensional (1-D) Capon estimator underestimates the true spectrum, whereas the 1-D APES method is unbiased; we also show that the bias of the forward-backward Capon is half that of the forward-only Capon (to within a second-order approximation). Furthermore. We show that these results can be extended to the two-dimensional (2-D) Capon and APES estimators. Numerical examples are also presented to demonstrate quantitatively the properties of and the relation between these MAFI estimatorsKeywords
This publication has 5 references indexed in Scilit:
- Matched-filter bank interpretation of some spectral estimatorsSignal Processing, 1998
- Efficient implementation of Capon and APES for spectral estimationIEEE Transactions on Aerospace and Electronic Systems, 1998
- An adaptive filtering approach to spectral estimation and SAR imagingIEEE Transactions on Signal Processing, 1996
- DATA ADAPTIVE SPECTRAL ANALYSIS METHODSGeophysics, 1971
- High-resolution frequency-wavenumber spectrum analysisProceedings of the IEEE, 1969