Fast Reconstruction of Sparse Relative Impulse Responses via Second-Order Cone Programming

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dc.contributor.authorRajmic Pavelcs
dc.contributor.authorKoldovský Zbyněkcs
dc.contributor.authorDaňková Mariecs
dc.date.accessioned2018-09-25T12:13:18Z
dc.date.available2018-09-25T12:13:18Z
dc.date.issued2017-01-01cs
dc.description.abstractThe paper addresses the estimation of the relative transfer function (RTF) using incomplete information. For example, an RTF estimate might be recognized as too inaccurate in a number of frequency bins. When these values are dropped, an incomplete RTF is obtained. The goal is then to reconstruct a complete RTF estimate, based on (1) the remaining values, and (2) the sparsity of the relative impulse response, which is the time-domain counterpart of the RTF. We propose two fast algorithms for the RTF reconstruction that solve a second-order cone program (SOCP), and show their advantages over the LASSO formulation previously proposed in the literature. Simulations with speech signals show that in terms of speed and accuracy, the proposed algorithms are comparable with the LASSO solution and considerably faster compared to the generic ECOS solver. The new algorithms are, moreover, easier to control through their parameters, which brings their improved stability when the number of reliable frequency bins is very low (less than 10%).en
dc.format.extent5cs
dc.identifier.doi10.1109/WASPAA.2017.8170056
dc.identifier.isbn978-1-5386-1632-1cs
dc.identifier.urihttps://dspace.tul.cz/handle/15240/31082
dc.identifier.urihttps://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8170056
dc.language.isoengcs
dc.publisherInstitute of Electrical and Electronics Engineers Inc.cs
dc.publisher.cityNew Paltz, NY, USAcs
dc.relation.ispartofseries1cs
dc.relation.urihttps://asap.ite.tul.cz/wp-content/uploads/sites/3/2017/07/waspaa2017.pdfcs
dc.subjectBeamformingcs
dc.subjectRelative Transfer Functioncs
dc.subjectRelative Impulse Responsecs
dc.subjectSparsitycs
dc.subjectProximal Algorithmscs
dc.subjectConvex Programmingcs
dc.titleFast Reconstruction of Sparse Relative Impulse Responses via Second-Order Cone Programmingcs
local.citation.epage364-368cs
local.citation.spage364-368cs
local.identifier.publikace4538
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