Signal representation in the combined phase-spatial space: reconstruction and criteria for uniqueness

Author

Porat, Moshe ; Shachor, Gal

Author_Institution

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

Volume

47

Issue

6

fYear

1999

fDate

6/1/1999 12:00:00 AM

Firstpage

1701

Lastpage

1707

Abstract

Motivated by the major roles of the spectral phase in signal structure and by previous results on the importance of localized representation in images, we develop conditions for unique representation of a signal by a combination of its spectral (Fourier) phase and spatial samples. Methods for signal reconstruction from various combinations of spatial and phase information are introduced. It is concluded that most of the previous results in the area of phase-only representation and reconstruction are special cases of the general approach presented here

Keywords

Fourier analysis; image representation; signal reconstruction; signal representation; signal sampling; spectral analysis; Fourier samples; combined phase-spatial space; image representation; localized image representation; phase information; phase-only reconstruction; phase-only representation; signal reconstruction; signal representation; signal structure; spatial information; spatial samples; spectral phase; spectral phase samples; uniqueness criteria; Helium; Image analysis; Image coding; Image reconstruction; Signal analysis; Signal processing; Signal reconstruction; Signal representations; Speech analysis; X-ray imaging;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.765142

Filename

765142