A Sparse Approach for Estimation of Amplitude Modulated Sinusoids
Adalbjörnsson, Stefan Ingi; Swärd, Johan; Jakobsson, Andreas; Kronvall, Ted (2014). A Sparse Approach for Estimation of Amplitude Modulated Sinusoids . 48th Asilomar Conference on Signals, Systems and Computers, 2014. Pacific Grove, California, United States
Conference Proceeding/Paper
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Published
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English
Authors:
Adalbjörnsson, Stefan Ingi
;
Swärd, Johan
;
Jakobsson, Andreas
;
Kronvall, Ted
Department:
Lund University Humanities Lab
Mathematics (Faculty of Engineering)
Mathematical Statistics
Statistical Signal Processing Group
Biomedical Modelling and Computation
Research Group:
Statistical Signal Processing Group
Biomedical Modelling and Computation
Abstract:
We consider the problem of spectral analysis of signals composed of sums of multiple amplitude modulated, possibly
harmonically related, sinusoids using a sparse approach. By separating the nonlinear frequency variables using a dictionary of
possible frequency components as well as a spline basis for the amplitude modulation, results in a convex criterion which can be
efficiently solved without worrisome local minima. The resulting method makes no model order assumption and automatically
estimates both the signal parameters and their amplitude modulations
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