Computationally efficient estimation of multi-dimensional spectral lines

作者: Johan Sward , Stefan Ingi Adalbjornsson , Andreas Jakobsson

DOI: 10.1109/ICASSP.2016.7472606

关键词:

摘要: In this work, we propose a computationally efficient algorithm for estimating multi-dimensional spectral lines. The method treats the data tensor's dimensions separately, yielding corresponding frequency estimates each dimension. Then, in second step, are ordered over dimensions, thus forming resulting multidimensional parameter estimates. For high dimensional data, proposed offers statistically moderate to signal noise ratios, at computational cost substantially lower than typical non-parametric Fourier-transform based periodogram solutions, as well state-of-the-art parametric estimators.

参考文章(24)
P. G. Stoica, Randolph L. Moses, Spectral analysis of signals ,(2005)
Ray Freeman, Ēriks Kupče, Concepts in Projection-Reconstruction Topics in Current Chemistry. ,vol. 316, pp. 1- 20 ,(2010) , 10.1007/128_2010_103
P. Stoica, Y. Selen, Model-order selection: a review of information criterion rules IEEE Signal Processing Magazine. ,vol. 21, pp. 36- 47 ,(2004) , 10.1109/MSP.2004.1311138
Souleymen Sahnoun, El-Hadi Djermoune, David Brie, Sparse modal estimation of 2-D NMR signals international conference on acoustics, speech, and signal processing. pp. 8751- 8755 ,(2013) , 10.1109/ICASSP.2013.6639375
James W. Demmel, Michael T. Heath, Henk A. van der Vorst, Parallel Numerical Linear Algebra Acta Numerica. ,vol. 2, pp. 111- 197 ,(1992) , 10.1017/S096249290000235X
Vladimir A Mandelshtam, The Multidimensional Filter Diagonalization Method I. Theory and Numerical Implementation Journal of Magnetic Resonance. ,vol. 144, pp. 343- 356 ,(2000) , 10.1006/JMRE.2000.2023
Petre Stoica, Prabhu Babu, On the Proper Forms of BIC for Model Order Selection IEEE Transactions on Signal Processing. ,vol. 60, pp. 4956- 4961 ,(2012) , 10.1109/TSP.2012.2203128
Cao Hui, Huang Longting, Zhang Yanbin, Wu Yuntao, 3-D frequency estimation of multiple damped sinusoids using subspace approach international radar conference. pp. 1- 4 ,(2013) , 10.1049/CP.2013.0407
Tamara G. Kolda, Brett W. Bader, Tensor Decompositions and Applications Siam Review. ,vol. 51, pp. 455- 500 ,(2009) , 10.1137/07070111X