Balanced realisations and model reduction of periodically time-varying state-space digital filters

IEE Proceedings: Vision, Image and Signal Processing

Volumn 143, Issue 6, 1996, Pages 370-376

  Yang, X ^a,b   Kawarnata, M ^a,b   Higuchi, T ^a  

^a OKI ELECTRIC INDUSTRY CO   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

Balanced realisations; Grammians; Model reduction; Periodically time varying state space digital filters

Indexed keywords

CONTROLLABILITY; DIGITAL FILTERS; ELECTRIC NETWORK SYNTHESIS; OBSERVABILITY; TIME VARYING SYSTEMS;

BALANCE REALISATION; GRAMMIANS; MODEL REDUCTION; PERIODICALLY TIME VARYING STATE SPACE DIGITAL FILTERS;

MATHEMATICAL MODELS;

EID: 0030378051     PISSN: 1350245X     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-vis:19960816     Document Type: Article

References (11)

1. ISHII, R., and KAKISHITA, M.: A design method of a periodically time-varying digital filter for spectrum scrambling, IEEE Trans., 1990, ASSP-38, pp. 1219-1222
2. CROCHIERE, R.E., and RABINER, L.R.: Multirate digital signal processing (Prentice-Hall, Englewood cliffs, NJ, 1983)
3. TANAI, H., and ISHII, R.: A modem implementation using a periodically time varying digital filter, IEICE Trans., 1991, E74, pp. 3569-3575
4. TOMLINSON, M., and WONG, K.M.: Techniques for the digital interfacing of TDM/FDM systems, IEE Proc., 1976, 123, pp. 1285-1292
5. 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, pp. 381-391
6. CRITCHLEY, J., and RAYNER, P.J.W.: Design methods for periodically time varying digital filters, IEEE Trans., 1988, ASSP-36, pp. 661-673
7. MOORE, B.C.: Principal component analysis in linear systems: controllability, observability, and model reduction", IEEE Trans., 1981, AC-26, pp. 17-32
8. KAWAMATA, M., and HIGUCHI, T.: A unified approach to the optimal synthesis of fixed-point state-space digital filters, IEEE Trans.. 1985, ASSP-33, pp. 911-920
9. YANG, X., KAWAMATA, M., and HIGUCHI, T.: Coefficient sensitivity analysis of periodically time-varying state-space digital filters, IEEE Tram. Circuits Syst., 1994, 41, pp. 526-536
10. YANG, X.: Design and applications of periodically time-varying digital filters, Doctoral dissertation, 1994
11. YANG, X., KAWAMATA, M., and HIGUCHI, T.: Synthesis of minimum roundoff noise realizations of periodically time-varying state-space digital filters, IEICE Trans., 1993, J 76-A, (3), pp. 331-338