A novel comb compensator with a good passband deviation-complexity tradeoff
This paper presents a novel simple multiplierless comb compensator which exhibits a good tradeoff between the resulting passband droop compensation and introduced complexity. The filter is composed of two second order sections, both working at the lowest rate, and with sine squared magnitude characteristics. The first section remains the same for all comb parameters. The second section depends only on the number of the cascaded comb filters. A simple formula which relates compensator parameter and the number of cascaded combs, is derived. The comparisons with some known compensators are also provided in order to demonstrate the benefit of the proposed compensator.
Design of multiplierless comb compensators with magnitude response synthesized as sinewave functions
This paper presents a research on design of multiplierless comb compensators
 with magnitude response synthesized as sinewave functions. First, it is
 elaborated the importance of comb decimation filter and why we need its
 compensator. In continuation are presented some favorable characteristics of
 comb compensator. The compensators, with magnitude characteristic
 synthesized as sinewave functions fulfill those favorable characteristics.
 Next, are described some most important results on design of compensators
 with sinewave-based magnitude responses including single and cascaded
 sinewave-based functions. In all designs are presented the overall
 corresponding magnitude responses and the zooms in the passband. The
 parameters of design generally depend only on number of cascaded combs and
 generally do not depend on decimation factor. Design parameters are
 presented in tables along with the corresponding required number of adders.
An $L_1$-Method for the Design of Linear-Phase FIR Digital Filters
This paper considers the design of linear-phase finite impulse response digital filters using an L1 optimality criterion. The motivation for using such filters as well as a mathematical framework for their design is introduced. It is shown that L1 filters possess flat passbands and stopbands while keeping the transition band comparable to that of least-squares filters. The uniqueness of L1-based filters is explored, and an alternation type theorem for the optimal frequency response is derived. An efficient algorithm for calculating the optimal filter coefficients is proposed, which may be viewed as the analogue of the celebrated Remez exchange method. A comparison with other design techniques is made, demonstrating that the L1 approach may be a good alternative in several applications.