Analytic Signals and Product Theorems for Hilbert Transforms

IEEE Transactions on Circuits and Systems

Volumn 21, Issue 6, 1974, Pages 790-792

  Brown, J L ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS;

HILBERT TRANSFORMS;

MATHEMATICAL TECHNIQUES;

EID: 0016129366     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1974.1083928     Document Type: Article

References (16)

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3. A. Nuttall and E. Bedrosian, “On the quadrature approximation to the Hilbert transform of modulated signals,” Proc. IEEE, vol. 54, 1458–1459, Oct. 1966.
4. J. Dugundji, “Envelopes and pre-envelopes of real waveforms,” IRE Trans. Information Theory, vol. IT-4 no. 1, pp. 53–57, Mar. 1958.
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7. H. Urkowitz, “Hilbert transform of bandpass functions,” Proc. IRE, vol. 50, No. 10, Oct. 1962.
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9. R. S. Simpson and C. A. Blackwell, “Hilbert transform analysis of the output noise spectrum of an ideal AM demodulator and FM discriminator,” Proc. IEEE, vol. 54, pp. 444–445, Mar. 1966.
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11. H. Urkowitz, “Bandpass filtering with lowpass filters,” J. Franklin Inst., vol. 276, no. 1, pp. 1–13, July 1963.
12. H. Voelcker, “Toward a unified theory of modulation—Part I: Phase-envelope relationships,” Proc. IEEE, vol. 54, pp. 340–353, Mar. 1966.
13. ―, “Toward a unified theory of modulation—Part II: Zero manipulation,” Proc. IEEE, vol. 54, pp. 737–755, May 1966.
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15. H. Stark, “An extension of the Hilbert transform product theorem,” Proc. IEEE, vol. 59, pp. 1359–1360, Sept. 1971.
16. E. Bedrosian and H. Stark, “Comments on ‘An extension of the Hilbert transform product theorem’,” Proc. IEEE, vol. 60, pp. 228–229, Feb. 1972.