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Computationally Efficient Capon- and APES-Based Coherence Spectrum Estimation

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3 Author(s)
K. Angelopoulos ; Dept. of Sci. & Technol. of Telecommun., Univ. of Peloponnese, Tripolis, Greece ; G. O. Glentis ; A. Jakobsson

The coherence spectrum is of notable interest as a bivariate spectral measure in a variety of application, and the topic has lately attracted interest with the recent formulation of several high-resolution data adaptive estimators. In this work, we further this development with the presentation of computationally efficient implementations of the Capon- and APES-based MSC estimators. The presented implementations furthers the recent development of exploiting the estimators' inherently low displacement rank of the necessary products of Toeplitz-like matrices to include also the required cross-correlation covariance matrices for the mentioned coherence algorithms. Numerical simulations together with theoretical complexity measures illustrate the performance of the proposed implementations.

Published in:

IEEE Transactions on Signal Processing  (Volume:60 ,  Issue: 12 )