A new iterative algorithm for minimum-phase signal reconstruction from its autocorrelation

Author

Fratti, Marco

Author_Institution

DSP Lab., Telettra SpA, Milano, Italy

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1571

Abstract

An iterative algorithm for minimum (maximum) phase signal reconstruction from its autocorrelation is presented. The algorithm is an extension of previous work by Quatieri and Oppenheim (1981). In particular, a good convergence speed is obtained even with no prior information on the first sample value of the signal to be reconstructed. A double time-domain constraint is imposed, and the knowledge of the autocorrelation function in both the time and the frequency domain is exploited. The algorithm shows a good convergence. However, it has two drawbacks: phase unwrapping must be performed at each iteration, and care must be taken in choosing the startup sequence for the iteration initialization

Keywords

correlation theory; iterative methods; signal processing; signal synthesis; autocorrelation function; convergence speed; frequency domain; iterative algorithm; maximum phase signal reconstruction; minimum-phase signal reconstruction; time domain; time-domain constraint; Autocorrelation; Convergence; Convolution; Digital signal processing; Fourier transforms; Frequency domain analysis; Iterative algorithms; Iterative methods; Laboratories; Phase estimation; Signal reconstruction; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115719

Filename

115719