Fourier Inspection of Average & RMS Tools

With in the volume of electrical physics, the features average and root mean square (RMS) of a function, for the physicality's of any, plays a very important role in determining the effectual value of it over mentioned interval. Out of these two, one can consider of RMS as the most reliable mathematical tool other than average, as in some of the cases average outcome does not compatible with the theory of concern. In electromyography (EMG) signal analysis, RMS is one of the popular feature. In this paper, these effectual mathematical tools are discuss for continuous time function with the help of Fourier transform and their properties to express it with respect to others such as convolution, cross-correlation etc in frequency domain. Intrinsically, the average spectrum tool realizes to consist of rectangular function along with delta function. (C) 2020 The Authors. Published by Elsevier B.V.