Title :
On analytic signals with nonnegative instantaneous frequencies
Author :
Xia, Xiang-Gen ; Cohen, Leon
Author_Institution :
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE, USA
Abstract :
In this paper, we characterize all analytic signals with band-limited amplitudes and polynomial phases. We show that a signal with band-limited amplitude and polynomial phase is analytic if and only if it has nonnegative constant instantaneous frequency, i.e., the derivative of the phase is a nonnegative constant, and the constant is greater than or equal to the minimum bandwidth of the amplitude
Keywords :
bandlimited signals; polynomials; signal processing; analytic signals; band-limited amplitudes; derivative; nonnegative constant; nonnegative instantaneous frequencies; polynomial phases; Astronomy; Bandwidth; Educational institutions; Engineering profession; Military computing; Physics; Polynomials; Signal analysis; Signal processing; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756225
