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Paper Information

Journal:   IRANIAN JOURNAL OF ELECTRICAL AND COMPUTER ENGINEERING (IJECE)   SUMMER-FALL 2010 , Volume 9 , Number 2; Page(s) 101 To 110.
 
Paper: 

SEMI BLIND DECONVOLUTION; APPLICATION TO GLOTTAL FLOW ESTIMATION

 
 
Author(s):  LANKARANI M., SAVOJI M.H.
 
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Abstract: 

We introduce a new concept coined "Semi blind deconvolution" and present an algorithm to solve the problems that can be categorized as such. In fact, the problem of estimating the input of an unknown nonminimum phase FIR system using only noisy observed output and an initial model of the original input signal is considered and called semi blind deconvolution in this paper. Here, unlike conventional blind deconvolution where some assumptions on the statistical properties of the white source signal are needed to be made, an initial estimation of the original input, to be identified based on some prior knowledge, is whitened and used instead of the usual i.i.d input. We, first, justify the basis of our proposed algorithm then, the algorithm is further developed by using an initial model, as the first estimation of the input signal. Furthermore, a constrained optimization is used to estimate the deconvolution filter to satisfy more than just one criterion. As an application we apply our proposed semi blind deconvolution algorithm to estimate the glottal flow excitation of vowels. The voiced speech signal is modeled as an ARMA process whose input is the glottal flow with: 1- an AR filter whose coefficients are obtained using the closed phase-LPC method on the actual speech and 2- an MA filter whose input is the glottal excitation and its output is the LPC residual. It is thus clear that both the input signal and the MA filter coefficients are unknown whilst a physiological model exists for the input. Therefore, we are dealing in fact with a semi blind deconvolution problem when trying to identify simultaneously the glottal flow and the MA part of the ARMA model of the vocal tract. The efficiency of the algorithm is assessed on real voiced speech sounds /a/ and /e/ as practical case examples.

 
Keyword(s): BLIND DECONVOLUTION, GLOTTAL FLOW ESTIMATION, HIGHER ORDER STATISTICS, SEMI BLIND DECONVOLUTION
 
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