Finite wordlength effects in two-dimensional multirate periodically time-varying filters

IEE Proceedings: Circuits, Devices and Systems

Volumn 144, Issue 5, 1997, Pages 277-283

  McLernon, D C ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

2 d filters; Finite wordlength effects; Multirate filters; Periodically time varying systems

Indexed keywords

MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS; TIME VARYING NETWORKS;

FINITE WORDLENGTH EFFECTS; TIME VARYING FILTERS;

DIGITAL FILTERS;

EID: 0031249514     PISSN: 13502409     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cds:19971480     Document Type: Article

References (30)

1. RICHARDS, J.A.: 'Analysis of periodically time-varying systems' (Springer-Verlag, Berlin, 1983)
2. JURY, E.I., and MULLIN, F.J.: 'A note on the operational solution of linear difference equations', J. Franklin Inst., 1958, 266, pp. 189-205
3. JURY, E.I., and MULLIN, F.J.: The analysis of sampled-data control systems with a periodically time-varying sampling rate', IRE Trans., 1959, AC-4, pp. 15-21
4. FRIEDLAND, B.: 'Sampled-data control systems containing periodically varying members'. Proceedings of first IFAC Congress, Butterworth, Moscow, USSR, 1961, pp. 361-368
5. D'ANGELO, H.D.: 'Linear time-varying systems: analysis and synthesis' (Allyn and Bacon, 1970)
6. MEYER, R.A., and BURRUS, C.S.: 'A unified analysis of multirate and periodically time-varying digital filters', IEEE Trans., 1975, CAS-22, (3), pp. 162-168
7. VETTERLI, M.: 'A theory of multirate filter banks', IEEE Trans., 1987, ASSP-35, (3), pp. 356-371
8. VAIDYANATHAN, P.P., and MITRA, S.K.: 'Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: A unified approach based on pseudocirculants', IEEE Trans., 1988, ASSP-36, (3), pp. 381-391
9. GNANASEKARAN, R.: 'Equivalence of block and N-path implementations of digital filters', IEEE Trans., 1988, CAS-35, (10), pp. 1326-1330
10. VAIDYANATHAN, P.P.: 'Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial', Proc. IEEE, 1990, 78, (1), pp. 57-93
11. KARLSSON, G., and VETTERLI, M.: Theory of two-dimensional multirate filter banks', IEEE Trans., 1990, ASSP-38, (6), pp. 925-937
12. McLERNON, D.C., and KING, R.A.: 'A multiple-shift time-varyine, two-dimensional filter', IEEE Trans., 1990, CAS-37, (1), pp. 120-127
13. McLERNON, D.C.: 'Periodically time-varying two-dimensional systems', IEE Electron. Lett., 1990, 26, (6), pp. 412-413
14. McLERNON, D.C.: 'A new method for the elimination of two-dimensional limit cycles in first-order structures', IEE Proc.-G, 1991, 138, (5), pp. 541-550
15. McLERNON, D.C.: Time-varying two-dimensional state-space structures', IEE Proc. Circuits Devices Syst., 1995, 142, (2), pp. 120-124
16. LU, W., and ANTONIOU, A.: Two-dimensional digital filters' (Marcel Dekker, 1992)
17. CARROLL, R.L., and ZILOUCHIAN, A.: 'On the roundoff noise of separable in denominator 2-D filters', IEEE Trans., 1986, CAS-33, (4), pp. 448-150
18. LIN, T., KAWAMATA, M., and HIGUCHI, T.: 'A unified study of the roundoff noise in 2-D state-space digital filters'. IEEE international conference on Acoustics, speech and signal processing, Tokyo, 1986, Vol. 2, pp. 1045-1048
19. VAIDYANATHAN, P.P.: 'Multirate systems and filter banks' (Prentice-Hall, 1993)
20. YANG, X., KAWAMATA, M., and HIGUCHI, T.: 'Coefficient sensitivity analysis of periodically time-varying state-space digital filters', IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process., 1994, 41, (8), pp. 526-536
21. LOEFFLER, C.M., and BURRUS, C.S.: 'Optimal design of periodically time-varying and multirate digital filters', IEEE Trans., 1984, ASSP-29, pp. 991-997
22. PRATER, J.S., and LOEFFLER, CM.: 'Analysis and design of periodically time-varying IIR filters, with application to transmultiplexing', IEEE Trans., 1992, ASSP-40, (11), pp. 2715-2725
23. ISHII, R., and KAKISHITA, M.: 'A design method for a periodically time-varying digital filter for spectrum scrambling', IEEE Trans., 1990, ASSP-38, (7), pp. 1219-1222
24. AGATHOKLIS, P., JURY, E.I., and MANSOUR, M.: 'Evaluation of quantisation error in two-dimensional digital filters', IEEE Trans., 1980, ASSP-28, (3), pp. 273-279
25. MERTZIOS, B.G.: 'On the roundoff noise in 2-D state-space digital filtering', IEEE Trans., 1985, 32, (2), pp. 201-204
26. HINAMOTO, T., HAMANAKA, T., and MAEKAWA, S.: 'Minimum sensitivity structure of 2-D digital filters based on the Fornasini-Marchesini model'. Proceedings of IEEE international symposium on Circuits and systems, 1988, Vol. 1, pp. 357-360
27. YANG, X., KAWAMATA, M., and HIGUCHI, T.: 'Balanced realisations and model reduction of periodically time-varying state-space digital filters', IEE Proc. - Vis. Image Signal Process., 1996, 143, (6), pp. 370-376
28. JOO, K.S., and BOSE, T.: Two-dimensional periodically shift variant digital filters', IEEE Trans. Circuits Syst. Video Technol., 1996, 6, (1), pp. 97-107
29. TUCKER, D.G.: 'Circuits with periodically-varying parameters' (Macdonald, London, 1964)
30. OPPENHEIM, A.V., and SCHAFER, R.W.: 'Digital signal processing' (Prentice-Hall, 1975)