title: Delay-coordinates embeddings as a data mining tool for denoising speech signals.
abstract: In this paper, we utilize techniques from the theory of nonlinear dynamical systems to define a notion of embedding estimators. More specifically, we use delay-coordinates embeddings of sets of coefficients of the measured signal (in some chosen frame) as a data mining tool to separate structures that are likely to be generated by signals belonging to some predetermined data set. We implement the embedding estimator in a windowed Fourier frame, and we apply it to speech signals heavily corrupted by white noise. Our experimental work suggests that, after training on the data sets of interest, these estimators perform well for a variety of white noise processes and noise intensity levels.
authors.affiliation: Center for Applied Proteomics and Molecular Medicine, George Mason University, Manassas, Virginia 20110, USA. dnapolet@gmu.edu
authors.forename: D
authors.initials: D
authors.lastname: Napoletani
authors.forename: D C
authors.initials: DC
authors.lastname: Struppa
authors.forename: T
authors.initials: T
authors.lastname: Sauer
authors.forename: C A
authors.initials: CA
authors.lastname: Berenstein
authors.forename: D
authors.initials: D
authors.lastname: Walnut
mesh_terms: D000465:Algorithms; D016477:Artifacts; D003198:Computer Simulation; D016247:Information Storage and Retrieval / Q000379:methods*; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D013018:Sound Spectrography / Q000379:methods*; D049250:Speech Recognition Software