Efficient FIR Filter Synthesis Using Sigmoidal Function
Peter Stoyanov Apostolov, Alexey Stefanov, Mariya Bagasheva · 2019
The graph of the sigmoidal function represents a transfer function of a low pass filter. Such function is the Complementary integral Gaussian error function -erfc. In this paper, FIR filter synthesis using erfc is examined. Analytical expressions of the filter parameters are proposed. A comparison of filter selectivity and computational costs with Parks & McClellan FIR filter, and analysis of the results is made. The conclusion that the proposed FIR filter has better selectivity and faster computational time has been arrived at.