Title :
Quadratic-inverse estimates of transfer functions
Author :
Thomson, David J.
Author_Institution :
AT&T Bell Labs., Murray Hill, NJ, USA
Abstract :
Estimating transfer functions between time series is essentially regression in the frequency domain but significant differences occur when the available data sequences are short. The author suggests an estimate of transfer functions on narrow, overlapping frequency bands using a quadratic-inverse formalism. (The quadratic-inverse coefficients apply to both an orthogonal expansion of the spectrum and to a components-of-variance-like decomposition of the covariances between the multiple window eigencoefficients.) A method is suggested to include the effects of line components and similar `high leverage´ effects explicitly
Keywords :
eigenvalues and eigenfunctions; frequency-domain analysis; inverse problems; signal processing; time series; transfer functions; covariances; frequency domain; line components; multiple window eigencoefficients; orthogonal expansion; quadratic-inverse formalism; regression; transfer functions between time series; Covariance matrix; Eigenvalues and eigenfunctions; Fourier transforms; Frequency domain analysis; Hafnium; Integral equations; Optical imaging; Time series analysis; Transfer functions; Wave functions;
Conference_Titel :
Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0508-6
DOI :
10.1109/SSAP.1992.246877