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Article Citation - WoS: 55Elimination of Overflow Oscillations in Fixed-Point State-Space Digital Filters With Saturation Arithmetic: an Lmi Approach(Ieee-inst Electrical Electronics Engineers inc, 2004) Kar, H; Singh, VA novel, linear-matrix inequality (LMI) based, criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filter employing saturation arithmetic is presented. The criterion is based on a unique characterization (as prevailing in the filter under consideration) of the saturation nonlinearities, namely, an "effective" reduction of the sector.Article Citation - WoS: 24Citation - Scopus: 25Lmi Approach To Stability of Direct Form Digital Filters Utilizing Single Saturation Overflow Nonlinearity(Ieee-inst Electrical Electronics Engineers inc, 2007) Singh, VimalA criterion for the elimination of limit cycles in direct form digital filters utilizing single saturation overflow nonlinearity is presented. The criterion takes the form of linear matrix inequality and, hence, is computationally tractable. An example showing the effectiveness of the present criterion is given.Editorial Citation - Scopus: 58Elimination of Overflow Oscillations in Fixed-Point State-Space Digital Filters With Saturation Arithmetic: an Lmi Approach(2004) Kar,H.; Singh,V.A novel, linear-matrix inequality (LMI) based, criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filter employing saturation arithmetic is presented. The criterion is based on a unique characterization (as prevailing in the filter under consideration) of the saturation nonlinearities, namely, an “effective” reduction of the sector. © 2004, The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.Article Citation - WoS: 2Citation - Scopus: 4Improved State-Space Criteron for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters With Saturation Arithmetic(King Fahd Univ Petroleum Minerals, 2007) Singh, Vimal; Department of Mechatronics EngineeringA state-space criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation overflow arithmetic is presented. The criterion is derived by exploiting a novel structural property of the system under consideration and, hence, is quite distinct from the previous criteria. In particular, a comparison of the present criterion with an earlier criterion due to Kar and Singh is made. The comparison reveals that the present criterion is less restrictive than Kar-Singh's criterion. Two examples showing the effectiveness of the present approach are given.
