Transformation Matrices in the General Bilinear Transformation of Multivariable Polynomials

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 32, Issue 3, 1984, Pages 634-636

  Smart, Nancy M ^a   Barnett, Stephen ^a  

^a UNIVERSITY OF BRADFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIVARIABLE POLYNOMIALS; TRANSFORMATION MATRICES;

MATHEMATICAL TECHNIQUES;

EID: 0021439155     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASSP.1984.1164367     Document Type: Article

References (7)

1. N. K. Bose and E. I. Jury “Positivity and stability tests for multidimensional filters (discrete-continuous),” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-22, pp. 174–180, June 1974.
2. V. V. Bapeswara Rao and V. K. Aatre, “Transformation matrices for bilinear transformation of multivariable polynomials,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 266–267, 267, 1976.
3. B. O'Connor and T. S. Huang “An efficient algorithm for bilinear transformation of multivariable polynomials,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 380–381, Aug. 1978.
4. S. Barnett “Some applications of matrices to location of zeros of polynomials,” Int. J. Contr., vol. 17, no. 4, pp. 823–831, 1973.
5. E. I. Jury “Remarks on the mechanics of bilinear transformation,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 380–382, Aug. 1973.
6. J. H. Lodge and M. M. Fahmy “The bilinear transformation of two-dimensional state-space systems,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 500–502, June 1982.
7. N. M. Smart and S. Barnett “Bilinear transformation of multi-variable variable polynomials using the Horner method,” Int. J. Contr., vol. 37, no. 4, pp. 861–865, 1983.