Zero modeling error (ZME) at the meeting point of LPC and SVD analysis

Author

Dologlou, I. ; Carayannis, G.

Author_Institution

Dept. of Electr. Eng., Nat. Tech. Univ. of Athens, Zographou, Greece

fYear

1991

fDate

14-17 Apr 1991

Firstpage

3397

Abstract

The frequency analysis of a signal is considered. Although the classical approach based on the representation of a signal in terms of complex exponentials has its merit, an alternative approach aiming to represent a signal by a sum of exponential functions is also interesting. An exact solution to this problem is found at the meeting point of linear predictive coding (LPC) and modeling techniques based on the singular value decomposition (SVD) analysis. Further insight in the structural analysis of a signal is provided. The rank of a signal is defined, and it is shown that full recovery of finite rank data from an incomplete set is always possible

Keywords

encoding; filtering and prediction theory; frequency-domain analysis; signal processing; LPC; SVD; exact solution; exponential functions; finite rank data; frequency analysis; incomplete set; linear predictive coding; modeling techniques; signal rank; singular value decomposition; speech signals; structural analysis; sum; zero modelling error; Computer errors; Computer science; Covariance matrix; Discrete Fourier transforms; Frequency domain analysis; Linear predictive coding; Matrix decomposition; Signal analysis; Signal processing; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150183

Filename

150183