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Karel Toledo de la Garza, Jorge Torres Gómez, Rodrigo C. de Lamare and Maria Julia Fernández-Getino García, "A Variational Approach for Designing Infinite Impulse Response Filters With Time-Varying Parameters," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 65 (4), pp. 1303–1313, 2018.


Filter design with short transient state is a problem encountered in many fields of circuits, systems, and signal processing. In this paper, a novel low-pass filter design technique with time-varying parameters is introduced in order to minimize the rise-time parameter. Through the use of calculus of variations a method is developed to obtain the optimal closed-form expression for adjusting the parameters. In this context, two cases are addressed: the ideal case in which infinite bandwidth is required and a solution of finite bandwidth. The latter is obtained by means of a proper constraint formulation in the frequency domain. The proposed filter achieves the shortest rise time and allows better preservation of the edge shape in comparison with other existing filtering methods. The analysis, synthesis, and performance of the proposed system are discussed and illustrated with the aid of simulations.

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Karel Toledo de la Garza
Jorge Torres Gómez
Rodrigo C. de Lamare
Maria Julia Fernández-Getino García

BibTeX reference

    author = {Toledo de la Garza, Karel and Torres G{\'{o}}mez, Jorge and Lamare, Rodrigo C. de and Fern{\'{a}}ndez-Getino Garc{\'{i}}a, Maria Julia},
    doi = {10.1109/TCSI.2017.2746747},
    title = {{A Variational Approach for Designing Infinite Impulse Response Filters With Time-Varying Parameters}},
    pages = {1303--1313},
    journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},
    publisher = {IEEE},
    number = {4},
    volume = {65},
    year = {2018},

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