On an ambiguity in the definition of the amplitude and phase of a signal

Signal Processing

Volumn 79, Issue 3, 1999, Pages 301-307

  Cohen, Leon ^a   Loughlin, Patrick ^b   Vakman, David ^c  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

^c NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; FREQUENCY MODULATION;

INSTANTANEOUS FREQUENCIES; NONNEGATIVE AMPLITUDES;

SIGNAL PROCESSING;

EID: 0033349541     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(99)00103-6     Document Type: Article

References (6)

1. D. Gabor, Theory of communication, IEE J. Comm. Eng. 93 (1946) 429-457.
2. P. Loughlin, Do bounded signals have bounded amplitudes?, Multi. Systems Signal Process. 9 (4) (1998) 419-424.
3. P. Loughlin, B. Tacer, On the amplitude- and frequency-modulation decomposition of signals, J. Acoust. Soc. Amer. 100 (3) (1996) 1594-1601.
4. L. Mandel, Interpretation of instantaneous frequencies, Amer. J. Phys. 42 (1974) 840-846.
5. D. Vakman, On the analytic signal, the Teager-Kaiser energy algorithm, and other methods for defining amplitude and frequency, IEEE Trans. Signal Process. 44 (4) (1996) 791-797.
6. J. Ville, Theory and Applications of the Notion of Complex Signal, translated by I. Seline in RAND Tech. Rpt. T-92, RAND Corp., Santa Monica, CA, 1958.