The novel Arc low-pass filter

Abstract

In this paper, we propose a new form of the amplitude response for designing low-pass filters, that is defined by a modified arctangent function in the frequency domain. This is a parameterized and very smooth function which can be used for any tolerance scheme with given specifications. The filter depends on two parameters that allow us to straighten the magnitude response from the passband to stopband without increasing the computational complexity of the filter. The main properties of the low-pass filter with the proposed magnitude response, which we call the Arc low-pass filter, are considered and compared with the well known Chebyshev and Butterworth filters.