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

2019 ◽  
Vol 38 (11) ◽  
pp. 4905-4920
Author(s):  
Goutham Makkena ◽  
M. B. Srinivas
Keyword(s):  
Continuous Time ◽  
Linear Phase ◽  
Time Linear

FEASIBILITY PROOF FOR ARBITRARILY TIGHT PHASE EQUALIZATION

1991 ◽  
Vol 01 (01) ◽  
pp. 1-18 ◽  
Author(s):  
ANTON KUMMERT ◽  
ALFRED FETTWEIS
Keyword(s):  
Continuous Time ◽  
Mathematical Proof ◽  
Point Of View ◽  
Frequency Interval ◽  
Theoretical Point ◽  
Linear Phase ◽  
Finite Frequency ◽  
First Order ◽  
Time Linear ◽  
Equalization Problem

In this paper, the phase equalization problem for continuous-time us well as for discrete-time linear systems is considered from a theoretical point of view. The purpose is thus not to present an efficient algorithm for solving this problem in practice, but to offer a mathematical proof that an arbitrarily tight approximation of the linear phase behavior in any given finite frequency interval is always feasible. In a first step it is shown that the problem can be reduced to the equalization of the phase of a real first-order all-pass section. This simplified problem is investigated in Sec. 4.2 of the paper.

scholarly journals Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils

2014 ◽  
Vol 24 (3) ◽  
pp. 289-297
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Special Form ◽  
The State ◽  
New Method ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Asymptotically Stable ◽  
Numerical Example ◽  
Time Linear

Abstract A new method is proposed of design of regular positive and asymptotically stable descriptor systems by the use of state-feedbacks for descriptor continuous-time linear systems with singular pencils. The method is based on the reduction of the descriptor system by elementary row and column operations to special form. A procedure for the design of the state-feedbacks gain matrix is presented and illustrated by a numerical example

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