Design Approximation Problems for Linear-Phase Nonrecursive Digital Filters

Design Problems for Nonrecursive Digital Filters Ii

While the rst part of the paper dealt with the problem of approximatinga prescribed frequency response by nonrecursive linear-phase and nonlinear-phase lters, in this part the three other central design problems for such lters in the frequency domain are studied in regard to the existence of solutions and the convergence of the approximation errors. These are the problems of approximatinga magn...

Design Problems for Nonrecursive Digital Filters

The four main design problems for nonrecursive digital lters in the frequency domain are properly formulated as approximation problems and studied in regard to the existence of solutions and the convergence of the approximation errors. These are the problems of approximating a frequency response and a magnitude response and the problems of simultaneously approximating a magnitude and phase resp...

Design Problems for Nonrecursive

The Design of Nonrecursive Digital Filters via Convex Optimization

The advantages of optimization in lter design over strongly specialized methods based upon approximation theory are well known since some years, rst of all in the area of constrained linear-phase lter design. Mainly nite linear optimization has been used which requires the discretization w.r.t. the frequency variable and, if necessary, the linearization of important nonlinear lter characteristi...

Design of Nonrecursive Digital Filters Using the Exponential Window

In this paper, nonrecursive digital filter design using the exponential window is investigated [1,2]. The exponential window proposed by the author [3] has computational cost advantage compared to the well-known Kaiser window due to having no power series expansion in its time domain representation. First, the filter design equations for the exponential window to meet the given low pass filter ...