Multidimensional complex signals with single-orthant spectra

Proceedings of the IEEE

Volumn 80, Issue 8, 1992, Pages 1287-1300

  Hahn, Stefan L ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000950385     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/5.158601     Document Type: Article

References (64)

1. D. Gabor, “Theory of communications,” Trans. Inst. Elec. Eng., pt. 3, 429–457, 1946.
2. S. Hahn, “Complex variable frequency electric circuit theory,” Proc. IEEE, vol. 52., 735–736, June 1964.
3. S. Hahn, “The amplitudes, phases and complex frequencies of a 2D Gaussian signal,” Internal Rep. Institute of Radioelectronics, No. 13/91, Warsaw University of Technology, Dec.1991.
4. L. Schwartz L., Methodes mathematique pour les science physique. Paris: Hermann, 1965.
5. H. Stark, “An extension of the Hilbert transform product theorem,” Proc. IEEE, vol. 59, pp. 1359–1360, Sept. 1971.
6. J. Ville, “Theorie et application de la notion de signal analy-tique,” Cables et Trans., pp. 61–64, Jan. 1948.
7. M. H. Ackroyd, “Simplified quadrature network,” Electron. Lett., vol. 4, pp. 105–107, 1968.
8. S. K. Altes et al., “Monolithic RC all-pass networks with constant phase difference outputs,” IEEE Trans. Microwave Theory Tech., vol. 34, pp. 1533–1537, 1986.
9. R. Ansari, “HR discrete-time Hilbert transformers,” IEEE Trans. Acoust., Speech, Signal Process., vol. 35, pp. 1116–1119, Aug. 1987;
10. “Elliptic filter design for generalized half-band filters,” IEEE Trans. Acoust., Speech, Signal Process., vol. 33, pp. 1146–1150. Oct. 1985.
11. S. D. Bedrosian, “Normalised design of 90° phase-difference networks,” Trans. Inst. Radio Eng., vol. CT-7, pp. 128–136, 1960.
12. E. Bedrosian, “The analytic signal representation of modulated waveforms,” Proc. IEEE, vol. 50, pp. 2071–2076, Oct. 1962.
13. M. Bellanger, Digital Processing of Signals. New York: Wi-lev. 1984.
14. V. Cizek, “Discrete Hilbert transform,” IEEE Trans., vol. AV-IS, pp. 340–343, Dec. 1970.
15. V. Cizek, “Differentiating FIR Hilbert transformer,” in Proc. URSI Int. Symp. Signal and System Theory (Erlangen, Ger-many), 1989, pp. 697–700.
16. V. V. Cizek, “Kinematische Theorie der Momentanfrequenz und Einhiillenden,” Arch. Elek. Ubertragung., Band 43, no. 5, pp. 288–291, 1989.
17. N. B. Chakrabarti, “Combined AM and PM for a one-sided spectrum,” Proc. IRE, vol. 47, p. 1663, Sept. 1959.
18. Comments: A. H. Taylor, Proc. IRE, vol. 48, p. 953, May 1960
19. Goldsen et al, Proc. IRE, vol. 48, pp. 1094–1095, June 1960.
20. L. Cohen, “Time-frequency distributions — A review,” Proc. IEEE, 941–981 (213 refer.), July 1989.
21. J. P. Costas, “A mathematical analysis of the Kahn compatible single-sideband system,” Proc. IRE, vol. 46, July 1958.
22. K. Daikoku et al, “A real zero SSB transceiver for land mobile radio: A simple method of demodulating SSB signals without an envelope,” IEEE Trans. Vehic. Technol., vol. VT-35, pp. 22–29, Feb. 1986.
23. S. Darlington, “Realization of a constant phase difference,” Bell Syst. Tech. J., vol. 29, pp. 94–104, 1950.
24. R. B. Dome, “Wideband phase shift networks,” Electronics, pp. 112–115, December 19, 1946.
25. J. Dugundji, “Envelopes and pre-envelopes of real waveforms,” IEEE Trans. Inform. Theory, vol. IT-4, pp. 53–57, Mar. 1958.
26. P. Fey, “Die Hilberttransformation in der Elektrotechnik,” Nachrichtentechn. Z., vol. 6, pp. 337–340, 1956.
27. B. Gold, et al, “Theory and implementation of the discrete Hilbert transform,” in Proc. Symp. Comput. Processing Commun., 1970, pp. 235–250.
28. B. Gold et al, “Theory and implementation of the discrete Hilbert transform,” in Digital Signal Processing, L. R. Rabiner and C. M. Rader, Eds. New York: IEEE Press, 1972.
29. G. G. Gourier and G. F. Newell, “A quadrature network for generating vestigal sideband signal,” Proc. Inst. Elec. Eng., vol. 107B, pp. 253–260, 1960.
30. S. Hahn, “The instantaneous complex frequency concept and its application to the analysis of building up oscillations in oscillators,” Proc. of Vibration Problems, no. 1, pp. 29–46, 1959.
31. O. Herrman, “Quadraturfilter mit rationalen iibertragungsfaktor” (Quadrature filters with rational transmittance), Arch. Elek. Ubertragung., vol. 23, Heft 2, pp. 77–84, 1969.
32. O. Herrman, “Tranversalfilter zur Hilbert-Transformation” (Transversal filters as Hilbert transformers), Arch. Elek. Ubertragung., vol. 23, Heft 12, pp. 581–587, 1969.
33. L. B. Jackson, “On the relationship between digital Hilbert transformers and certain low-pass filters,” IEEE Trans. Acoust, Speech, Signal Process., vol. 33, pp. 381–383, Aug. 1985
34. And with the same title in vol. 24, p. 381, 1976
35. L. R. Kahn, “Compatible single-sideband,” Proc. IRE, vol. 49, Oct. 1961 (first presented: Symposium on Aeronautical Communications, New York, Oct. 1956).
36. H. A. Kramers, Phys. Z., vol. 30, p. 522, 1929.
37. R de L. Kronig, J. Opt. Soc. Amer., vol. 12, 1926, p. 547.
38. W.W. Krylov and D. M. Ponomariev, “Definition of the signal delay in linear two-ports using the Hilbert transform,” Ra-diotechnika i Elektronika, no. 5,1980, pp. 204–206 (in Russian).
39. A. Lacroix, Digitale Filter. Miinchen, Wien: R. Oldenburg Verlag, 1980.
40. D. Lipka, “A modified Hilbert transform for homodyne system analysis,” Arch. EleLUbertr., vol. 42, no. 3, 1988 pp. 190–192.
41. E. Menzel and S. Schiek, Synthese und Realisierung von extrem breitbandigen RC-Allpassschaltungen. Kleinheubacher Berichte, ISSN 0343–5725, Band 33, 1990.
42. K. Merkotter and M., Romeike, “Wave digital Hilbert transformers,” in Proc. IEEE Int. Symp. on Circuits and Systems (Montreal, Canada), 1984, pp. 258–260.
43. D. E. Norgaard, “The phase-shift method of single-sideband signal generation,” Proc. IEEE, vol. 44, pp. 1718–1743, Dec. 1956.
44. P. B. Nyirenda and I. Korn, “Autocorrelation function and power spectral density of complex phase modulated signals derived from full response CPM,” IEEE Trans. Commun., vol. 38, pp. 1649–1652, Oct. 1990.
45. H. J. Orchard, “Synthesis of wide-band two-phase networks,” Wir. Engr., vol. 27, pp. 72–81, 1950.
46. H. J. Orchard, “The synthesis of RC networks to have prescribed transfer functions,” Proc. IRE, vol. 39, pp. 428–432, Apr. 1951.
47. L. R. Rabiner and R. W. Schafer, “On the behavior of minimax FIR digital Hilbert transformers,” BellSyst. Tech. J., vol. 53, no. 2, pp. 363–390, Feb. 1974;
48. And “On the behavior of minimax relative error FIR differentiators,” pp. 333–362.
49. C. M. Rader, “A simple method for sampling in-phase and quadrature components,” IEEE Trans. Aerosp. Elec. Syst., vol. AES-20, pp. 821–822, Nov. 1984.
50. L. R. Regalia and S. K. Mitra, “Quadrature mirror Hilbert transformers,” in Digital Signal Processing, V. Capellini and A. G. Constandinides, Eds. Amsterdam, the Netherlands: North-Holland, 1987.
51. A. P. Regalia et al., “The digital all-pass filter: A versatile signal processing building block,” Proc. IEEE, vol. 76, pp. 19–37, Jan. 1988.
52. M. Rojewskiand and W. Sobczak, “On-line signal processing of speech for telecommunication needs” (in Polish), in Proc. Nat. Telecomm. Conf. (Bydgoszcz, Poland), Sept. 1991, vol. A, pp. 55–72.
53. S. Sabri and S. Steenaart, “Discrete Hilbert transform filtering,” in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Process. (Philadelphia), 1976, pp. 116–118.
54. W. Saraga, “The design of wideband two-phase networks,” Proc. Inst. Elec. Eng., vol. 38, pp. 754–770, 1950.
55. W. Schneider, “Quadraturfilter nach der Methode der angezapften Laufzeitketten,” Telefunken-Ztg., vol. 40, 107–112, 1967.
56. H. W. Schiissler and J. Weith, “On the design of recursive Hilbert transformers,” in Proc. Int. Conf. Acoustics, Speech, Signal Process. (Dallas, TX) Apr. 1987, pp. 876–879.
57. H. Stark and F. B. Tuteur, Modern Electrical Communications Englewood Cliffs, NJ: Prentice-Hall, 1979.
58. Ch. Tiefenthaler, “Digital modulation using the Hilbert transform,” Electronic Eng., pp. 71–80, Apr. 1987.
59. D. K. Weaver, “Design of RC wide-band 90-degree phase difference networks,” Proc. IRE, vol. 42, pp. 671–676, Apr. 1954.
60. O. G. Villard, Jr., “Composite amplitude and phase modulation,” Electronics, vol. 21, pp. 86–89, Nov. 1948.
61. H. Voelcker, “Toward a unified modulation theory,” pt. I, Proc. IEEE, vol. 54, Mar. 1966.
62. H. Voelcker H et al, “On the origin and characteristics of single-sided angle modulation,” IEEE Trans. Commun., vol. 13, pp. 555–556, Dec. 1965 (corr.).
63. D. K. Weaver, “Design of RC wide-band 90-degree phase difference networks,” Proc. IRE, vol. 42, pp. 671–676, Apr. 1954.
64. A. Wojtkiewicz “Digital Hilbert filters” (in Polish), in Proc. II National URSI Symp. (Gdansk), 1978.