Title :
A fast least-square deconvolution algorithm for vocal tract cross section estimation
Author :
Hu, Yu Hen ; Milenkovic, Paul H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
fDate :
6/1/1990 12:00:00 AM
Abstract :
An efficient computation algorithm, based on unitary Jacobi-type rotations, is developed for fast least-square deconvolution. Specifically, this algorithm is able to solve a positive definite covariance matrix with a special Toeplitz structure in O(N2) operations instead of O(N3) operations. This algorithm, which takes advantage of the inherent structure of the underlying deconvolution problem, is guaranteed to be numerically stable since only unitary transformation is used. It is implemented on an experimental system for the estimation of human vocal tract cross-section. A significant gain in processing is observed
Keywords :
matrix algebra; speech analysis and processing; speech synthesis; efficient computation algorithm; fast least-square deconvolution algorithm; numerically stable; positive definite covariance matrix; special Toeplitz structure; unitary Jacobi-type rotations; unitary transformation; vocal tract cross section estimation; Convolution; Covariance matrix; Deconvolution; Human voice; Linear systems; Signal processing; Signal processing algorithms; Speech; System identification; Zinc;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on