Levin’s Transformation-based Continuous-Time Linear-Phase Selective Filters

  • Goutham MakkenaEmail author
  • M. B. Srinivas


In this paper, authors derive a family of linear-phase selective filters based on Levin’s transformation. The approach consists of developing an approximation to the Laplace transform of impulse response of the chosen linear-phase selective filter using a sum of shifted and scaled causal splines. This approximation is then rationalized using Levin’s transformation to obtain a realizable medium-order transfer function which is then balanced and truncated to the required order. The magnitude and phase features of the filter derived are presented and discussed. It is shown that the closed-form solution obtained can act as a starting point for approximation methods that use local search routines.


Linear-phase selective filters Continuous-time filters Causal splines 



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Authors and Affiliations

  1. 1.Department of Electrical EngineeringBirla Institute of Technology and Science - PilaniHyderabadIndia
  2. 2.Department of Electrical EngineeringBML Munjal UniversityGurgaon, New DelhiIndia

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