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dc.contributor.authorSo, Stephen
dc.contributor.authorPaliwal, Kuldip K
dc.date.accessioned2019-08-20T03:56:18Z
dc.date.available2019-08-20T03:56:18Z
dc.date.issued2018
dc.identifier.issn1053-5888
dc.identifier.doi10.1109/MSP.2017.2771817
dc.identifier.urihttp://hdl.handle.net/10072/383234
dc.description.abstractIn this tutorial, we present a procedure for reconstructing a complex-valued, discrete-time signal from only partial Fourier transform (FT) information, more specifically, the real part of its discrete FT (RDFT). By applying a delay, coupled with appropriate zero-padding to ensure a sufficiently dense sampling of the frequency axis, we show that any signal can be reconstructed perfectly from the RDFT alone. The presented procedure can, in the case of a densely sampled DFT, provide a reduction in the computational complexity of analysis-modification-synthesis-based speech processing methods that independently process the real and imaginary (RI) parts temporally. Furthermore, the perfect reconstruction property of this method implies that the RDFT alone captures all of the information about the signal, which suggests that it may be a potentially useful frequency-derived domain for the processing of speech signals.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherIEEE
dc.relation.ispartofpagefrom162
dc.relation.ispartofpageto+
dc.relation.ispartofissue2
dc.relation.ispartofjournalIEEE Signal Processing Magazine
dc.relation.ispartofvolume35
dc.subject.fieldofresearchElectrical and Electronic Engineering
dc.subject.fieldofresearchMechanical Engineering
dc.subject.fieldofresearchArtificial Intelligence and Image Processing
dc.subject.fieldofresearchcode0906
dc.subject.fieldofresearchcode0913
dc.subject.fieldofresearchcode0801
dc.titleReconstruction of a Signal from the Real Part of Its Discrete Fourier Transform
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.hasfulltextNo Full Text
gro.griffith.authorSo, Stephen
gro.griffith.authorPaliwal, Kuldip K.


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