On phase approximation by gain differences

Author

Rusu, Calin ; Gavrea, Ioan ; Kuosmanen, Pauli

Author_Institution

Signal Process. Lab., Tampere Univ. of Technol., Finland

Volume

2

fYear

1998

fDate

1998

Firstpage

497

Abstract

The goal of this paper is to establish new relationships for computing the phase of the minimum-phase functions from the gain values. Firstly, we show that for a given frequency the phase could be obtained from the odd derivatives of the neperian gain, evaluated for this frequency. Then we select a finite number of terms of the main formula and we derive an approximation of phase. We show the latter can be improved by taking into account the Gibbs phenomenon and the Feher kernel. Finally, we utilize finite differences in order to substitute the higher derivatives involved in the previous formulae

Keywords

Bode diagrams; function approximation; information theory; signal reconstruction; Bode relations; Feher kernel; Gibbs phenomenon; finite differences; finite number of terms; gain differences; minimum-phase functions; neperian gain; odd derivatives; phase approximation; phase retrieval problem; signal reconstruction; truncated Taylor series; Filters; Finite difference methods; Fourier transforms; Frequency; Image reconstruction; Integral equations; Kernel; Laboratories; Mathematics; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 1998 IEEE International Conference on

Conference_Location

Lisboa

Print_ISBN

0-7803-5008-1

Type

conf

DOI

10.1109/ICECS.1998.814929

Filename

814929