Hankel-norm approximation of FIR filters: a descriptor-systems based approach

References

• Al-Husari, M., Jaimoukha, I.M., and Limebeer, D.J.N. (1993), ‘A Descriptor Approach for the Solution of the One-block Discrete Distance Problem’, in Proceedings of the IFAC World Congress, Sydney, Australia, pp. 47–50.
   Google Scholar
• Al-Husari , M , Jaimoukha , IM and Limebeer , DJN . 1997 . A Descriptor Solution to a Class of Discrete Distance Problems . IEEE Transactions on Automatic Control , 42 : 1558 – 1564 .
   Web of Science ®Google Scholar
• Aldhaheri , RW . 2000 . Design of Linear-phase IIR Digital Filters using Singular Perturbational Model Reduction . IEE Proceedings – Visual Image Signal Processing , 147 : 409 – 414 .
   Google Scholar
• Chen , BS , Peng , SC and Chiou , BW . 1992 . IIR Filter Design via Optimal Hankel-norm Approximation . IEE Proceedings G: Circuits, Devices and Systems , 139 : 586 – 590 .
   Google Scholar
• Chen , X and Parks , TW . 1987 . Design of FIR Filters in the Complex Domain . IEEE Transactions on Acoustics Speech and Signal Processing , 35 : 144 – 153 .
   Google Scholar
• Deng, N., Shao, S., and Gu, G. (2006), ‘A System Approach to the Design of Linear Phase IIR Filters via Optimal Hankel-norm Criterion’ in Proceedings of the 3rd International Conference Impulse Dynamic Systems and Applications, pp. 984–988.
   Google Scholar
• Genin, Y., Hachez, Y., Nesterov, Y., and Van Dooren, P. (2003), ‘Optimization Problems over Positive Pseudopolynomial Matrices’, SIAM Journal on Matrix Analysis and Applications, 25(1), pp. 57–79.
   Google Scholar
• Glover , K . 1984 . All Optimal Hankel-norm Approximations of Linear Multivariable Systems and Their ℒ∞ Error Bounds . International Journal of Control , 39 : 1115 – 1193 .
   Web of Science ®Google Scholar
• Gu , G . 2005 . All Optimal Hankel Norm Approximations and Their ℒ∞ Bounds in Discrete-time . International Journal of Control , 78 : 408 – 423 .
   Web of Science ®Google Scholar
• Halikias, G.D., and Jaimoukha, I.M. (2003), ‘Design of Approximately Linear-phase Infinite Impulse Response Filters via Optimal Hankel-norm Approximation’, in Proceedings of the European Control Conference, ECC03, Cambridge University, UK.
   Google Scholar
• Halikias , GD , Jaimoukha , IM and Wilson , DA . 1997 . A Numerical Solution to the Matrix ℋ∞/ℋ2 Optimal Control Problem . International Journal of Robust and Nonlinear Control , 7 : 711 – 726 .
   Web of Science ®Google Scholar
• Kale , I , Gryka , J , Cain , GD and Beliczynski , B . 1994 . FIR Filter Order Reduction: Balanced Model Truncation and Hankel-norm Optimal Approximation . IEE Proceedings – Visual Image Signal Processing , 141 : 168 – 174 .
   Google Scholar
• McClellan , JH and Parks , TW . 1973 . A Unified Approach to the Design of Optimal FIR Linear-phase Filters . IEEE Transactions on Circuit Theory , 20 : 697 – 701 .
   Google Scholar
• Oppenheim , AV and Schafer , RW . 1975 . Digital Signal Processing , Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Preuss , K . 1989 . On the Design of FIR Filters by Complex Chebychev Approximations . IEEE Transactions on Acoustics Speech and Signal Processing , 37 : 702 – 712 .
   Google Scholar
• Rabiner , LR . 1972 . Linear Program Design of Finite Impulse Response (FIR) Digital Filters . IEEE Tranactions on Audio and Electroacoustics , AU20 : 280 – 288 .
   Google Scholar
• Sreeram , V and Agathoklis , P . 1992 . Design of Linear-phase IIR Filters via Impulse-response Gramians . IEEE Transactions on Signal Processing , 40 : 389 – 394 .
   Google Scholar
• Stark , H and Tuteur , FB . 1979 . Modern Electrical Communications , Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Vandenberghe , L and Boyd , S . 1996 . Semidefinite Programming . SIAM Review , 38 : 49 – 95 .
   Web of Science ®Google Scholar
• Wu , SP , Boyd , S and Vandenberghe , L . 1997 . “ FIR Filter Design via Spectral Factorization and Convex Optimization ” . In Applied Computational Control, Signal and Communications , Edited by: Datta , B . 215 – 245 . Boston, MA : Birkhauser .
   Google Scholar