Abstract
It is established that denominator-separable transfer functions which characterize an important subclass of 2-D filters can be expressed as a linear combination of first-order (1-D or 2-D separable) all-pass transfer functions with real or complex coefficients. This type of expansion is referred to as all-pass expansion of the corresponding transfer function. Based on this all-pass expansion, we derive some efficient structures for the realization of 2-D denominator-separable filters using all-pass sections.
This is a preview of subscription content, log in via an institution to check access.
References
A. Fettweis, “Pseudopassivity and Stability of Wave Digital Filters,”IEEE Trans. Circuit Theory, vol. CT-19, 1972, pp. 668–673.
A.H. Gray, Jr. and J.D. Markel, “Digital Lattice and Ladder Filter Synthesis,”IEEE Trans. Audio Electroacoust., vol. AU-21, 1973, pp. 491–500.
E. Deprettere and P. Dewilde, “Orthogonal Cascade Realizations of Real Multiport Digital Filters,”Int. J. Circuit Theory Appl., vol. 8, 1980, pp. 245–277.
R.A. Roberts and C.T. Mullis,Digital Signal Processing, New York: Addison-Wesley, 1987.
P.P. Vaidyanathan and S.K. Mitra, “Low Passband Sensitivity Digital Filters: A Generalized Viewpoint and Synthesis Procedures,”Proc. IEEE, vol. 72, 1984, pp. 404–423.
R. Saramäki, “On the Design of Digital Filters as a Sum of Two All-Pass Filters,”IEEE Trans. Circuits Syst., vol. CAS-32, 1985, pp. 1191–1193.
P.A. Regalia, S.K. Mitra, and P.P. Vaidyanathan, “The Digital All-Pass Filter: A Versatile Signal Processing Building Block,”Proc. IEEE, vol. 76, 1988, p. 1937.
P.A. Regalia, S.K. Mitra, and J. Fadavi Ardekani, “Implementation of Real Coefficient Digital Filters Using Complex Arithmetic,”IEEE Trans. Circuits Syst., vol. CAS-34, 1987, pp. 345–353.
X. Nie, D. Raghuramireddy, and R. Unbehauen, “All-Pass Expansion of Digital Transfer Function,”Electron. Lett., vol. 27, 1991, pp. 1438–1440.
R.D. Joshi, H. Singh, and S. Rai, “First-Order 2-D All-Pass Network Realizations,”IEEE Trans. Circuits Syst., vol. CAS-35, 1981, pp. 480–482.
V. Ganapthy, D. Raghuramireddy, and P.S. Reddy, “Minimal Delay Realizations of First-Order 2-D All-Pass digital Filters,”IEEE Trans. Acoust., Speech Signal Process, vol. ASSP-31, 1983, pp. 1577–1579.
M.S. Reddy, S.C. Dutta Roy, and S.N. Hazra, “Realization of First-Order 2-D All-Pass Digital Filters,”IEEE Trans. Acoust., Speech Signal Process., vol. ASSP-34, 1986, pp. 1011–1013.
K. Manivannan and C. Eswaran, “Minimal Multiplier Realizations of 2-D All-Pass Digital Filters,”IEEE Trans. Circuits Syst., vol. CAS-35, 1988, pp. 480–482.
P.S. Reddy and M.N.S. Swamy, “Comments on Minimal Multiplier Realizations of 2-D All-Pass Digital Filters,”IEEE Trans. Circuits Syst., vol. CAS-36, 1989, pp. 1147–1148.
J.V. Gisladottier, H. Lev-Ari, and T. Kailath, “Orthogonal Realization of First-Order All-Pass Filters for Two-Dimensional Signals,”Multidim. Syst. Signal Process., vol. 1, 1990, pp. 39–50.
M.Y. Dabbagh and W.E. Alexander, “Multiprocessor Implementations of 2-D Denominator-Separable Digital Filters for Real-Time Processing,”IEEE Trans. Acoustic, Speech Signal Process., vol. ASSP-37, 1989, pp. 872–881.
D. Raghuramireddy and R. Unbehauen, “A New Realization Structure for Multiprocessor Implementation of 2-D Denominator-Separable Filters,” inIEEE Proc. ISCAS-91, Singapore, 1991, pp. 472–475.
Author information
Authors and Affiliations
Additional information
On leave from S.V. University College of Engineering. Tirupati-517502, India.
Rights and permissions
About this article
Cite this article
Raghuramireddy, D., Nie, X. & Unbehauen, R. Implementation of 2-D denominator-separable digital filters using first-order all-pass sections. Multidim Syst Sign Process 4, 285–294 (1993). https://doi.org/10.1007/BF00985893
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00985893