A Design Method of Narrow Band FIR Filters Based on Fluency Sampling Function of Quadratic Piecewise Polynomial

-In this paper, we propose a design method of the narrow band FIR filter in a Fluency signal space. As a result, we can make superior narrow band FIR filters than ordinary one. While an FIR filter has advantages that it is stable and can realize perfect linear phase, its transfer function can be of higher order according to desired accuracy. One of such difficult classes that indeed requires lots of multipliers is the narrow band filter. In proposed method, it is possible to design a narrow band FIR filter with multipliers much less than Remez method, a typical conventional method. In the first step of the proposed method, a pair of mother filters that are basic for the desired filter are defined. In the next step, scaled filters of the mother filters will be taken. Finally, we take an appropriate cascade connection of the scaled filters and make it the approximation model of the desired characteristics of narrow band FIR filter. By a numerical experiment, the proposed method is shown to be supeior to Remez method, as stated above. Key–Words: -Fluency theory, Signal space, Dual space, Sampling function, Frequency scaling, Cascade connection, Remez algorithm