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.
Using Particle Swarm Optimization for design comb compensator with magnitude response synthetized as sine function
Comb compensator improves the passband characteristic of comb filter, i.e. decreases the comb passband droop. This paper presents one method for a comb compensator design with the magnitude response synthetized as sine function. The parameter of design is the amplitude of sine function denoted as A. The goal is to find the amplitude of sine function A for each value of comb parameter, K, K=1, …,5, where K is the number of the cascaded comb filters. First the optimum values of the amplitude of sinusoidal function A, for each value of K, K=1, …,5 are obtained using Particle Swarm Optimization (PSO). It is demonstrated that the obtained values A practically do not depend on the decimation factor M, for M>10. In next step the obtained values of the parameter A are presented as sum of powers of two (SPT) to get a multiplierless design. The method is illustrated with one example and compared with the methods from literature.
Representation of systems disturbed by wide band noise
In this paper, a method of handling and working with wide band noise is developed. We represent wide band noise as a distributed delay of white noise and use it to reduce a nonlinear system disturbed by wide band noise to a nonlinear system disturbed by white noise. An application of this reduction to a nonlinear filtering problem under a wide band noise disturbance is discussed.