DocumentCode :
1306639
Title :
Parametric cumulant based phase estimation of 1-D and 2-D nonminimum phase systems by allpass filtering
Author :
Chien, Horng-Ming ; Yang, Huang-Lin ; Chi, Chong-Yung
Author_Institution :
Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Volume :
45
Issue :
7
fYear :
1997
fDate :
7/1/1997 12:00:00 AM
Firstpage :
1742
Lastpage :
1762
Abstract :
This paper proposes a parametric cumulant-based phase-estimation method for one-dimensional (1-D) and two-dimensional (2-D) linear time-invariant (LTI) systems with only non-Gaussian measurements corrupted by additive Gaussian noise. The given measurements are processed by an optimum allpass filter such that a single Mth-order (M⩾3) cumulant of the allpass filter output is maximum in absolute value. It can be shown that the phase of the unknown system of interest is equal to the negative of the phase of the optimum allpass filter except for a linear phase term (a time delay). For the phase estimation of 1-D LTI systems, an iterative 1-D algorithm is proposed to find the optimum allpass filter modeled either by an autoregressive moving average (ARMA) model or by a Fourier series-based model. For the phase estimation of 2-D LTI systems, an iterative 2-D algorithm is proposed that only uses the Fourier series-based allpass model. A performance analysis is then presented for the proposed cumulant-based 1-D and 2-D phase estimation algorithms followed by some simulation results and experimental results with real speech data to justify their efficacy and the analytic results on their performance. Finally, the paper concludes with a discussion and some conclusions
Keywords :
Fourier series; Gaussian noise; all-pass filters; autoregressive moving average processes; filtering theory; higher order statistics; iterative methods; phase estimation; speech processing; 1D nonminimum phase systems; 2D nonminimum phase systems; ARMA model; Fourier series-based model; additive Gaussian noise; allpass filtering; autoregressive moving average model; iterative 1-D algorithm; linear phase term; linear time-invariant systems; nonGaussian measurements; parametric cumulant based phase estimation; performance analysis; real speech data; simulation; time delay; Additive noise; Autoregressive processes; Filters; Iterative algorithms; Noise measurement; Performance analysis; Phase estimation; Phase measurement; Speech analysis; Two dimensional displays;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.599944
Filename :
599944
Link To Document :
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