Realization of high accuracy 2-D variable IIR digital filters based on the reduced-dimensional decomposition form

This paper proposes a realization method of high accuracy 2-D variable IIR digital filters with real coefficients. The proposed method uses the reduced-dimensional decomposition form as a prototype structure of 2-D variable digital filters to suppress the degradation of tuning accuracy due to the linear approximation of variable coefficients. Furthermore, the 1-D subfilters of the prototype filter are realized as cascade connections of low sensitivity second-order variable sections to suppress the degradation of tuning accuracy due to finite coefficient wordlength. Numerical examples show that the proposed 2-D variable digital filter has high frequency tuning accuracy under finite coefficient wordlength and the linear approximation.

[1]  Anthony G. Constantinides,et al.  Spectral Transformations for Digital Filters , 1970 .

[2]  Nick Kingsbury.  Second-order recursive digital-filter element for poles near the unit circle and the real z axis , 1972 .

[3]  E. Jury,et al.  Spectral transformations for two-dimensional digital filters , 1976 .

[4]  Sanjit K. Mitra,et al.  Very low sensitivity realization of IIR digital filters using a cascade of complex all-pass structures , 1987 .

[5]  Masayuki Kawamata,et al.  Decomposition of 2-D separable-denominator systems: Existence, uniqueness, and applications , 1987 .

[6]  Sanjit K. Mitra,et al.  Design of recursive digital filters with variable characteristics , 1990, Int. J. Circuit Theory Appl..

[7]  Rolf Unbehauen,et al.  Implementation of 2-D denominator-separable digital filters using first-order all-pass sections , 1993, Multidimens. Syst. Signal Process..

[8]  Masato Ito,et al.  A synthesis of variable wave digital filters , 1994 .

[9]  Masayuki Kawamata,et al.  Variable Digital Filters , 1997 .

[10]  G. Stoyanov,et al.  Improved tuning accuracy design of parallel-allpass-structures-based variable digital filters , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[11]  Dietrich Schlichthärle.  Digital filters , 2000 .

[12]  M. Kawamata,et al.  REALIZATION OF HIGH ACCURACY SEPARABLE-DENOMINATOR 2-D VARIABLE DIGITAL FILTERS , 2001 .

[13]  M. Kawamata,et al.  Realization of 2-D variable IIR digital filter structures with a small amount of calculations for coefficient update , 2002, The 2002 45th Midwest Symposium on Circuits and Systems, 2002. MWSCAS-2002..