Sparse Semi-Parametric Estimation of Harmonic Chirp Signals

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Abstract

In this work, we present a method for estimating the parameters detailing an unknown number of linear, possibly harmonically related, chirp signals, using an iterative sparse reconstruction framework. The proposed method is initiated by a re-weighted group-sparsity approach, followed by an iterative relaxation-based refining step, to allow for high resolution estimates. Numerical simulations illustrate the achievable performance, offering a notable improvement as compared to other recent approaches. The resulting estimates are found to be statistically efficient, achieving the corresponding Cram´er-Rao lower bound.

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  • Signal Processing
Original languageEnglish
Pages (from-to)1798-1807
JournalIEEE Transactions on Signal Processing
Volume64
Issue number7
Publication statusPublished - 2016
Publication categoryResearch
Peer-reviewedYes

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