Design of a Variable Fractional Delay Filter Using Comprehensive Least Square Method Encompassing All Delay Values
Manjeet Kumar, Tarun Kumar Rawat · Journal of Circuits Systems and Computers · 2015
The work presented in this paper is concerned with the designing of a variable fractional delay (VFD) FIR filter using least square method encompassing all delay values p. First, the frequency response, e-jωp, of the VFD filter is approximated using power series expansion of an exponential function and then, it is represented in terms of frequency response of the differentiator. Next, the proposed least square method adopts a novel cost function which includes all the fractional delay values. Finally, design and application examples are given to illustrate that the proposed least square method have better design accuracy and significantly reduction in magnitude error with the same degree of complexity than existing least square methods.