Title :
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
fDate :
6/1/1999 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
