Optimal signal reconstruction from spectral amplitude

Author

Shapiro, Yossi ; Porat, Moshe

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

2

fYear

1997

fDate

2-4 Jul 1997

Firstpage

773

Abstract

The iterative algorithm for signal reconstruction from spectral amplitude is investigated. The MSE is used for indication of the convergence rate, and the characteristics of signals most efficiently reconstructed by the iterative algorithm are presented. It is concluded that signals of geometric form are most efficiently reconstructed by the algorithm. Unlike recent reports on optimal phase-only representation, in the case of amplitude-only reconstruction, signals of symmetric form have good convergence characteristics as well. The results provide a new insight into the analysis of different methods for reconstructing signals from their spectral transform

Keywords

approximation theory; convergence of numerical methods; iterative methods; optimisation; signal reconstruction; spectral analysis; MSE; amplitude-only reconstruction; convergence rate; geometric form signals; iterative algorithm; mean square error; optimal signal reconstruction; spectral amplitude; spectral transform; symmetric form signals; Convergence; Electron microscopy; Frequency domain analysis; Image reconstruction; Iterative algorithms; Optical microscopy; Signal analysis; Signal processing; Signal processing algorithms; Signal reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Proceedings, 1997. DSP 97., 1997 13th International Conference on

Conference_Location

Santorini

Print_ISBN

0-7803-4137-6

Type

conf

DOI

10.1109/ICDSP.1997.628466

Filename

628466