Combining Capon and APES for estimation of spectral lines

We propose combining the Capon and the APES spectral estimators for estimation of both the amplitude and the frequency of spectral lines. The so-obtained estimator does not suffer from Capon's biased amplitude estimates nor from APES' biased frequency estimates or resolution problem. Furthermore, the combined estimator is computationally simpler than APES and has about the same complexity as Capon. Numerical simulations are presented illustrating the increased performance.

[1]  George Frideric Handel,et al.  The History of Music , 1874, Nature.

[2]  J. Capon.  High-resolution frequency-wavenumber spectrum analysis , 1969 .

[3]  R. Lacoss.  DATA ADAPTIVE SPECTRAL ANALYSIS METHODS , 1971 .

[4]  Ralph Otto Schmidt,et al.  A signal subspace approach to multiple emitter location and spectral estimation , 1981 .

[5]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[6]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[7]  Jian Li,et al.  An adaptive filtering approach to spectral estimation and SAR imaging , 1996, IEEE Trans. Signal Process..

[8]  Petre Stoica,et al.  On the performance analysis of matched-filterbank spectral estimators , 1997 .

[10]  Petre Stoica,et al.  Introduction to spectral analysis , 1997 .

[11]  Andreas Jakobsson,et al.  Matched-filter bank interpretation of some spectral estimators , 1998, Signal Process..

[12]  Jian Li,et al.  Performance analysis of forward-backward matched-filterbank spectral estimators , 1998, IEEE Trans. Signal Process..

[13]  Keith Q. T. Zhang.  A statistical resolution theory of the AR method of spectral analysis , 1998, IEEE Trans. Signal Process..

[14]  Jian Li,et al.  Efficient implementation of Capon and APES for spectral estimation , 1998 .

[15]  Andreas Jakobsson,et al.  Capon and APES spectrum estimation for real-valued signals , 1998 .

[16]  Jian Li,et al.  A new derivation of the APES filter , 1999, IEEE Signal Processing Letters.

[17]  Andreas Jakobsson.  Model-Based and Matched-Filterbank Signal Analysis , 1999 .

[18]  Petre Stoica,et al.  On Efficient Implementation of the Capon algorithm , 2000 .