Browsing by Author "Yu, Bo-You"

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A General Structure of Linear-Phase FIR Filters With Derivative Constraints
(2017-07-01)
Yu, Bo-You
;
Wang, Peng-Hua
;
Chen, Po-Ning
;
電機工程學系
;
電信工程研究所
In this paper, a general structure of linear-phase finite impulse response filters, whose frequency responses satisfy given derivative constraints imposed upon an arbitrary frequency, is proposed. It is comprised of a linear combination of parallelly connected subfilters, called the cardinal filters, with weighted coefficients being the successive derivatives of the desired frequency response at the constrained frequency. An advantage of such a cardinal filters design is that only the weighted coefficients are relevant to the desired frequency response but not the cardinal filters; hence, a dynamic adjustment of the filter system becomes feasible. The key to derive the coefficients of cardinal filters is the determination of the power series expansion of certain trigonometric-related functions. By showing the elaborately chosen trigonometric-related functions satisfy specific differential equations, recursive formulas for the coefficients of cardinal filters are subsequently established, which make efficient their computations. At last, a simple enhancement of the cardinal filters design by incorporating the mean square error minimization is presented through examples.
A General Structure of Type-III FIR Filters with Derivative Constraints
(2017-01-01)
Yu, Bo-You
;
Wang, Peng-Hua
;
Chen, Po-Ning
;
電信工程研究所
;
Institute of Communications Engineering
In this paper, a general structure of type-III FIR filters with derivative constraints is proposed. It consists of a linear combinations of basic sub-filters, called cardinal filters, with weighting coefficients equal to derivatives of the target frequency response at omega = 0. Closed-form expressions for these cardinal filters are derived and their filter coefficients are shown to have a simple recursive relation. Numerical experiments confirm that the proposed design is much more numerically stable than the solution obtained by solving the derivative constraints.
GENERAL EXPRESSIONS OF DERIVATIVE-CONSTRAINED LINEAR-PHASE TYPE-I FIR FILTERS
(2013-01-01)
Wang, Peng-Hua
;
Yu, Bo-You
;
Chen, Po-Ning
;
電信工程研究所
;
Institute of Communications Engineering
In this paper, we propose a novel structure of linear-phase type-I FIR filters. The structure consists of a linear combination of some basic filters, called the cardinal filters. The weighting coefficients are exactly the derivatives of the amplitude response at omega = 0. We solve a closed-form recurrence relationship between the filter coefficients. Implementation of the cardinal filters is discussed.
Type II, III, and IV Linear-Phase FIR Structures Based on Cardinal Filters
(2019-11-01)
Wang, Peng-Hua
;
Yu, Bo-You
;
Chen, Po-Ning
;
電機工程學系
;
Department of Electrical and Computer Engineering
Novel structures of type II, III, and IV linear-phase finite impulse response (FIR) systems are proposed. It is constituted of a linear combination of basic sub-filters, called , with weighting coefficients equal to the derivatives of the system amplitude response at a prescribed frequency. Since the cardinal filters can be synthesized via recursive closed-form expressions, regardless of the desired system amplitude response, the proposed structure provides a universal design for arbitrary derivative-constrained linear-phase FIR filters. Design examples of maximally flat filters show that further improvement by combining derivative constraints with the least squared error optimization technique can be obtained.