Design of High-Order Digital Differentiators Using L1 Error Criteria
Journal
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Journal Volume
42
Journal Issue
4
Pages
287-291
Date Issued
1995
Author(s)
Chen, C.-K.
Abstract
This paper considers the optimal design of high order digital differentiators in the L/sub 1/ sense. Conventionally, using L/sub 1/ error criterion for this design problem results in a nonlinear optimization problem since the corresponding objective function contains an absolute error function. We first reformulate the design problem as a linear programming problem in the frequency domain. To avoid the requirement of huge computation load and storage space when using linear programming based algorithms, we present a method based on a modification of Karmarkar's algorithm to solve the design problem so that an analytical weighted least-squares (WLS) solution formula can be obtained. This leads to a very efficient procedure for the considered design problem. Computer simulations show that the designed differentiators can achieve more accurate wideband differentiation than those designed by using L/sub 2/ and Chebyshev (minimax) error criteria.>
Type
journal article