Abstract
The 1-D FDLS shows the localized feedback property and is suitable for modular and concurrent implementation. It is known that the 1-D FDLS shows interesting properties with respect to finite word-length effects. In this paper, a new result is given for the estimation of the lower and upper bound of the variance of the roundoff noise. It is presented how the FDLS can be incorporated to implement 2-D pseudo-rotated digital filters. The 1-D roundoff noise analysis is extended to the 2-D case. It is indicated how 2-D filter banks can be derived from the FDLS.
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References
L. B. Jackson, “Roundoff-noise Analysis for Fixed-point Digital Filters Realized in Cascade or Parallel Form,”IEEE Trans. Audio Electroacoust., vol. AU-18, 1970, pp. 107–122.
A. Fettweis, “Digital Filters Related to Classical Filter Networks,”Arch. Elek. Übertragung, vol. 25, 1971, pp. 79–89.
E. Deprettere and P. Dewilde, “Orthogonal Cascade Realization of Real Multiport Digital Filters,” inDigital Signal Processing, Ed. V. Cappellini and A. G. Constantinides, 1980, Academic Press.
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.
W. Schüßler and W. Winkelnkemper, “Variable Digital Filters,”Arch. Elek. Übertragung, vol. 24, 1970, pp. 524–525.
C. T. Mullis and R. A. Roberts, “Synthesis of Minimum Roundoff Noise Fixed Point Digital Filters,”IEEE Trans. Circuits and Systems, vol. CAS-23, 1976, pp. 551–562.
G. V. Mendonca, A. Antoniou, and A. N. Venetsanopoulos, ”Design of Two-dimensional Pseudo-rotated Digital Filters Satisfying Prescribed Specifications,”IEEE Trans. Circuits and Systems, vol. CAS-34, 1987, pp. 1–10.
J. C. Costa and A. N. Venetsanopoulos, “Design of Circularly Symmetric Two-dimensional Recursive Filters,”IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-22, 1974, pp. 432–443.
D. M. Goodman, “A Design Technique for Circularly Symmetric Low-pass Filters,”IEEE Trans. Acoustic, Speech, Signal Processing, vol. ASSP-26, 1978, pp. 290–304.
D. S. K. Chan and L. R. Rabiner, “Theory of Roundoff Noise in Cascade Realizations of Finite Impulse Response Digital Filters,”Bell Syst. Tech. J., vol. 52, 1973, pp. 329–345.
Z. Doganata and P. P. Vaidyanathan, “New Minimal Structures for the Implementation of PC IIR systems,” inProc. ISCAS, 1989, pp. 1660–1663.
J. Gisladottir, H. Lev-Ari, and T. Kailath, “Orthogonal Realization of First-order All-pass Filters for Two-dimensional Signals,”Multidim. Syst. and Signal Processing, vol. MSSP-1, 1990, pp. 39–50.
G. Szegö,Orthogonal Polynomials, Rhode Island: American Math. Society, Providence, 1939.
X. Nie, D. Raghuramireddy and R. Unbehauen, “Normalized Minimum Norm Digital Filter Structure: A Basic Building Block for Processing Real and Complex Sequences,”IEEE Trans. Circuits and Systems, vol. CAS-40, 1993, pp. 449–451.
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Nie, X., Unbehauen, R. Implementation of 2-D pseudo-rotated digital filters using a forward lattice structure. Multidim Syst Sign Process 7, 65–73 (1996). https://doi.org/10.1007/BF02106107
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DOI: https://doi.org/10.1007/BF02106107