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Article Citation - WoS: 16Citation - Scopus: 16Elimination of Overflow Oscillations in Direct Form Digital Filters Using Saturation Arithmetic(Pergamon-elsevier Science Ltd, 2008) Singh, VimalA novel frequency-domain criterion for the elimination of limit cycles in a class of digital filters using saturation arithmetic is presented. An example showing the effectiveness of the present criterion is given. (C) 2008 Elsevier Ltd. All rights reserved.Article Citation - WoS: 1Citation - Scopus: 1Novel Criterion for Stability of Discrete-Time Systems in a State-Space Realization Utilizing Saturation Nonlinearities(Elsevier Science inc, 2011) Singh, VimalA new criterion for the global asymptotic stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities is presented. The form of the criterion is unconventional in that it offers the flexibility of using even an unsymmetric Lyapunov matrix P. A recently reported criterion is shown to be a special case of the present criterion. An example shows the effectiveness of the new criterion. (C) 2011 Elsevier Inc. All rights reserved.Article Citation - WoS: 25Citation - Scopus: 31Modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic(Pergamon-elsevier Science Ltd, 2010) Singh, VimalA criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.Article Citation - WoS: 5Citation - Scopus: 52-D Digital Filter Realization Without Overflow Oscillations(Pergamon-elsevier Science Ltd, 2013) Singh, VimalA novel criterion for the elimination of overflow oscillations in 2-D state-space digital filters described by the Roesser model employing two's complement overflow arithmetic is presented. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. The criterion is a generalization and improvement over an earlier criterion. An example shows the effectiveness of the new criterion. (C) 2012 Elsevier Ltd. All rights reserved.Article Citation - WoS: 33Citation - Scopus: 36Stability Analysis of a Class of Digital Filters Utilizing Single Saturation Nonlinearity(Pergamon-elsevier Science Ltd, 2008) Singh, VimalA novel criterion for the global asymptotic stability of a class of digital filters utilizing single saturation nonlinearity is presented. An example showing the effectiveness of the present criterion is given. (c) 2007 Elsevier Ltd. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 27Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Generalized Form of Liu-michel's Criterion(Pergamon-elsevier Science Ltd, 2011) Singh, VimalA novel criterion for the global asymptotic stability of discrete-time systems in a state-space realization using saturation arithmetic was previously given by Liu and Michel. In their approach, as in most (or probably all) existing approaches, the matrix P is assumed to be symmetric. In this communique, it is shown that their approach is such as to be extended to allow the use of an unsymmetric matrix P. Taking note of this, a more general form of their criterion is presented. A modified form of the criterion is also presented. Examples show the effectiveness of the generalized approach. To the best of author's knowledge, this communique is the first report of exploiting an unsymmetric P to obtain a stability condition with reduced conservatism. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 5Citation - Scopus: 7Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic(Elsevier Science inc, 2010) Singh, Vimalsystematic and computationally tractable (i.e., linear matrix inequality based) approach to the global asymptotic stability of a class of discrete-time systems, implemented with fixed-point arithmetic, utilizing a very strong nonlinearity (which is produced by employing two's complement overflow arithmetic) is presented. Application of the approach to second-order digital filter is discussed. Two third-order examples illustrating the effectiveness of the approach are given. (C) 2010 Elsevier Inc. All rights reserved.
