RT Journal Article
T1 A Variational Approach for Designing Infinite Impulse Response Filters With Time-Varying Parameters
A1 Toledo De La Garza, Karel
A1 Torres Gómez, Jorge
A1 de Lamare, Rodrigo C.
A1 Fernández-Getino García, María Julia
AB 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.
PB IEEE
SN 1549-8328
YR 2018
FD 2018-04
LK https://hdl.handle.net/10016/32665
UL https://hdl.handle.net/10016/32665
LA eng
DS e-Archivo
RD 1 sept. 2024