The Use of Symmetric Quartic Potential Well for Noise Filtering

Abstract

In this letter, a symmetric quartic potential well is considered for use as a low-pass filter in BPAM receivers. By using the BPAM input to force a change in the shape of the well, the output can be considered as the position of a particle in the well. The potential well has been designed to pass the BPAM signal and suppress the background noise. Within the paper, DC gain and cut-off frequency are defined where the potential well is subject to a noise free single pulse. The effects of the background noise are also discussed. These initial results are applicable to other pulse modulation methods. Moreover, it is revealed that the cut-off frequency plays a significant role on the BPAM detector. Finally, a new result for the probability of error is introduced which clearly shows that the potential well filters out the background noise as much as a lowpass Butterworth filter does.