On analytic signals with nonnegative instantaneous frequencies

Authors:
Xiang-Gen Xia;L. Cohen
Affiliations:
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE, USA;-
Venue:
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Year:
1999

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On nontrivial analytic signals with positive instantaneous frequency

Signal Processing

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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.