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Design of 1-D Stable Variable Fractional Delay IIR Filters

Hui Zhao, Hon Keung Kwan
2007 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
In this brief, a two-stage approach for the design of 1-D stable variable fractional delay infinite-impulse response (IIR) digital filters is proposed.  ...  In the first stage, a set of fixed delay stable IIR filters are designed by minimizing a quadratic objective function, which is defined by integrating error criterion with IIR filter stability constraint  ...  For the purpose of reducing the computational complexity for the design of variable digital filters, a two-stage approach, i.e., designing a set of fixed-coefficient filters, and then fitting each of the  ... 
doi:10.1109/tcsii.2006.882802 fatcat:u65dufc2wfezfclwyvgzzcv3tu

Design of 1-D stable variable fractional delay IIR filters

Hui Zhao, H.K. Kwan
2005 2005 International Symposium on Intelligent Signal Processing and Communication Systems  
In this brief, a two-stage approach for the design of 1-D stable variable fractional delay infinite-impulse response (IIR) digital filters is proposed.  ...  In the first stage, a set of fixed delay stable IIR filters are designed by minimizing a quadratic objective function, which is defined by integrating error criterion with IIR filter stability constraint  ...  For the purpose of reducing the computational complexity for the design of variable digital filters, a two-stage approach, i.e., designing a set of fixed-coefficient filters, and then fitting each of the  ... 
doi:10.1109/ispacs.2005.1595460 fatcat:hlytr7wzpvdxxk45ptrqcpm7im

Page 396 of Mathematical Reviews Vol. , Issue 81A [page]

1981 Mathematical Reviews  
Authors’ summary: “This paper deals with stability conditions for second-order recursive fixed-point digital filters with account taken of the finite lengths of all filter registers and of the possible  ...  Conditions for absolute stability of processes in recursive digital filters. Avtomat. i Telemeh. 1979, no. 8, 76—85 (Russian); translated as Automat.  ... 

Suppression of overflow limit cycles in LDI all-pass/lattice filters

L. Harnefors, J. Holmberg, S. Signell
2000 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
Asymptotic stability can be guaranteed for all second-order LDI and LDD filters.  ...  This holds for any filter order, provided that saturation overflow characteristics are used at the input of each delay and for certain restrictions for the multiplier values.  ...  Wave digital filters and Gray-Markel lattice filters have the unique property that a diagonal P exists for any filter order.  ... 
doi:10.1109/81.841864 fatcat:4h4jwtmitbgsrlfkz2pqpwfiau

Effects of quantization and overflow in recursive digital filters

T. Claasen, W. Mecklenbrauker, J. Peek
1976 IEEE Transactions on Acoustics Speech and Signal Processing  
Citation for published version (APA): Werter, M. J. (1989). Suppression of parasitic oscillations due to overflow and quantization in recursive digital filters.  ...  Therefore the energy E(n) is a Lyapunov function, which guarantees forced-response stability; There exists also a second type of direct form digital filters (see [ 278] ) .  ...  stability of direct form digital filters.  ... 
doi:10.1109/tassp.1976.1162863 fatcat:37zcakusnfd5pf7gsfjlpvdz3m

Generalized feedforward structures: a new class of adaptive filters

J.C. Principe, B. de Vries, P. Guedes de Oliveira
1992 [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing  
stability) with some of the power of autoregressive moving average (ARMA) filters (i.e. decoupling of the length of the impulse response with filter order).  ...  We have extended the Wiener-Hopf solution for this class of filters and have developed some design tools.  ...  However, for µ different from 1 gamma filters are IIR filters. The stability condition of the whole structure is guaranteed by choosing 0<µ<2.  ... 
doi:10.1109/icassp.1992.226440 dblp:conf/icassp/PrincipeVO92 fatcat:xxpbdbfkgfgurnrocuikpp2np4

Fractional Order Systems and Their Applications

António Lopes, Liping Chen
2022 Fractal and Fractional  
Fractional calculus (FC) generalizes the concepts of derivative and integral to non-integer orders [...]  ...  The manuscript "Existence, uniqueness, and E q -Ulam-type stability of fuzzy fractional differential equation" [8] concerns with the existence and uniqueness of the Cauchy problem for a system of fuzzy  ...  A new Lyapunov function is constructed on the basis of the constraints, and some sufficient conditions for the asymptotic stability of DLFS are obtained.  ... 
doi:10.3390/fractalfract6070389 fatcat:5zssdovqxrew5ju2e4ufh2uym4

On the use of Lyapunov criteria to analyze the convergence of blind deconvolution algorithms

D. Kundur, D. Hatzinakos
1998 IEEE Transactions on Signal Processing  
Her research interests include digital watermarking of multimedia, blind image restoration, and data fusion for the classification of remote sensing imagery. Ms.  ...  She is currently pursuing doctoral studies at the University of Toronto.  ...  ACKNOWLEDGMENT The authors wish to thank the associate editor P. C. Doerschuk and the reviewers of this paper for their helpful comments and suggestions.  ... 
doi:10.1109/78.726806 fatcat:nkb2lij5czdu7o3e77ukjjmozy

Estimation of an Initial Condition of Sigma–Delta Modulators via Projection Onto Convex Sets

Charlotte Yuk-Fan Ho, Bingo Wing-Kuen Ling, Joshua D. Reiss
2006 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
loop filter refers to that with at least one of its poles being strictly outside the unit circle).  ...  Moreover, it is found that an initial condition both corresponding to quantizer output bit streams and generating bounded trajectories is uniquely defined if the loop filter is unstable (Here, an unstable  ...  The first state variable has a larger variance than the others because it has larger stability margin. In the algorithm, we choose because it is small enough for most circuits and systems.  ... 
doi:10.1109/tcsi.2006.885994 fatcat:bl2ngqia7jaill4pb3bv645ghu

A New Method for Designing FIR Filters With Variable Characteristics

S.C. Chan, C.K.S. Pun, K.L. Ho
2004 IEEE Signal Processing Letters  
The impulse response of the variable digital filter (VDF) is parameterized as a linear combination of functions in the spectral or tuning parameters.  ...  This letter proposes a new method for designing finite-impulse response (FIR) filters with variable characteristics.  ...  ACKNOWLEDGMENT The authors would like to thank T. B. Deng for providing us with his papers on variable digital filter designs.  ... 
doi:10.1109/lsp.2003.821686 fatcat:r37ozhmcj5bprm5z2nykowpiwm

Gaining insight into evolutionary programming through landscape visualization: An investigation into IIR filtering [chapter]

Kumar Chellapilla, David B. Fogel, Sathyanarayan S. Rao
1997 Lecture Notes in Computer Science  
Evolutionary programming (EP) has been used for the adaptation (optimization) of IIR filters.  ...  EP is robust to the presence of local minima and while ensuring the stability of the generated solution offers provable global convergence in the limit.  ...  Evolutionary programming applied to the IIR filter problem would guarantee the stability of the evolved filter.  ... 
doi:10.1007/bfb0014829 fatcat:gmdsgwzz75gujemd3q5xau4u4e

A decomposition theorem and its implications to the design and realization of two-dimensional filters

A. Venetsanopoulos, B. Mertzios
1985 IEEE Transactions on Acoustics Speech and Signal Processing  
It is shown that an arbitrary rational 2-D transfer function can be expanded in first order terms, each one of which is a function of only one of the two variables.  ...  This method leads naturally to reconfigurable fdters with great modularity and parallelism, which can realize any rational transfer function up to a given order.  ...  Bruton, "Low-sensitivity digital ladder filters," IEEE Trans. should satisfy to guarantee stability. Different filter [25] W. L. Kelly, H. F. Benz. and B. D.  ... 
doi:10.1109/tassp.1985.1164757 fatcat:4pdsmrbir5alnjzthuo5pbbeoi

Page 688 of SMPTE Motion Imaging Journal Vol. 88, Issue 9 [page]

1979 SMPTE Motion Imaging Journal  
The price of the digital effects system is $79,500.  ...  how unique.  ... 

Page 8026 of Mathematical Reviews Vol. , Issue 2003j [page]

2003 Mathematical Reviews  
The authors consider the problem of optimal design of nonre- cursive digital filters under L? and /? norms of magnitude and phase errors.  ...  This problem arises when we design a nonre- cursive digital filter in the frequency domain.  ... 

Preservation of properties in discrete-time systems under substitutions

Guillermo Fernández-Anaya, José-Job Flores-Godoy, José Álvarez-Ramírez
2009 Asian journal of control  
For discrete-time systems, using substitutions of the variable z by M 1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded  ...  Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.  ...  variable z in the 1D digital filter transfer function by a 2D system.  ... 
doi:10.1002/asjc.114 fatcat:nybj4rdgnraanbatvpjbceqcje
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