On the Proof of Stabilization of Two-Dimensional Recursive Filters Via Discrete Hilbert Transform

IEEE Transactions on Circuits and Systems

Volumn 33, Issue 8, 1986, Pages 741-749

  Murthy, H S N ^a   Reddy, P S ^b  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; SPECTRUM ANALYSIS;

DISCRETE HILBERT TRANSFORM (DHT); FREQUENCY SPECTRUM; TWO-DIMENSIONAL RECURSIVE FILTERS;

ELECTRIC FILTERS, DIGITAL;

EID: 0022768368     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1986.1086005     Document Type: Article

References (23)

1. T. S. Huang, W. F. Schrieber, and O. J. Tretiak “Image processing,” Proc. IEEE, vol. 59, pp. 1586–1609, Nov. 1971.
2. J. L. Shanks, S. Treitel, and J. H. Justice “Stability and synthesis of two-dimensional recursive filters,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 115–128, June 1972.
3. H. S. N. Murthy, D. R. Reddy, and P. S. Reddy “Stabilization of multidimensional recursive digital filters,” IEEE Trans. Geosci. Remote Sensing, vol. GE-23, pp. 158–163, Mar. 1985.
4. P. Pistor “Stability criteria for recursive filters,” IBM J. Res. Develop., vol. 18, pp. 59–71, Jan. 1974.
5. M. P. Ekstrom and J. W. Woods “Two-dimensional spectral factorization with applications in recursive digital filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 115–128, Apr. 1976.
6. R. R. Read and S. Treitel “The stabilization of two-dimensional filters via the discrete Hilbert transform,” IEEE Trans. Geosci. Electron., vol. GE-11, pp. 153–160, July 1973.
7. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975, ch. 7.
8. E. I. Jury, “Counter examples in multi-dimensional system theory,” in Proc. IEEE Int. Symp. on Circuits and Systems, pp. 196–200, Apr. 1980.
9. J. W. Wood “Comments on the stabilization of two-dimensional recursive filters via the Hilbert transform,” IEEE Trans. Geosci. Electron., vol. GE-12, pp. 104–105, July 1974.
10. P. S. Reddy and H. S. N. Murthy “Stabilization of 2-D digital filters via Hilbert transform,” Electron. Lett., vol. 19, no. 2, pp. 68–69, Jan. 1983.
11. T. S. Huang “Stability of two-dimensional recursive filters,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 158–163, June 1972.
12. E. I. Jury “Stability of multidimensional scalar and matrix polynomials,” Proc. IEEE, vol. 66, pp. 1018–1047, Sept. 1978.
13. T. S. Huang (Editor), “Topics in applied physics,” in Two Dimensional Digital Signal Processing I, Berlin: Springer Verlag, 1981.
14. R. Mersereau and A. Oppenheim “Digital reconstruction of multidimensional signals from their projections,” Proc. IEEE, vol. 62, pp. 1319–1338, Oct. 1974.
15. R. W. Schafer, “Echo removal by discrete generalized linear filtering,” Res. Lab. Electronics, M.I.T. Tech. Rep. 466, 1969.
16. V. Cizek “Discrete Hilbert transform,” IEEE Trans. Audio Electroacoust., vol. AU-18, pp. 340–343, Dec. 1970.
17. C. S. Burris “Matrix formulation of discrete Hilbert transform,” IEEE Trans. Circuits Syst., vol. CAS-22, pp. 836–838, Oct. 1975.
18. S. C. Dutta Roy, “Alternative formulation of discrete Hilbert transform,” Proc. IEEE, vol. 64, p. 1436, Sept. 1976.
19. N. K. Bose and K. A. Prabhu “Two-dimensional discrete Hilbert transforms and computational complexity aspects in its implementation,” IEEE Trans., Acoust., Speech, Signal Processing, vol. ASSP-27, pp. 356–360, Aug. 1979.
20. N. K. Bose “Problems in stabilization of multidimensional filters via Hilbert transform,” IEEE Trans. GeoSci. Electron., vol. GE-12, pp. 104–105, July 1974.
21. F. Bonanzigo “A note on discrete Hilbert transform,” IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 99–100, Mar. 1972.
22. D. E. Dudgeon, “The existence of cepstrum for 2-D rational polynomials,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-23, pp. 242–243, 1975.
23. V. Cappellini, A. G. Constantinides, and P. Emiliani, Digital Filters and Their Applications. London: Academic, 1978.