Selection of parameters in the design of real-time spectral analysis

Abstract

A new analytical method with high speed processing in the time-frequency domain is presented. In this method, sine and cosine waves with an established frequency and multiple periods are used, and we call these waves “cutting-out waves.” We all the frequency the “established frequency,” and we call the number of periods of the cutting-out wave the “number of periods.” The inner product of the cutting-out wave and the signal are calculated, and a signal element with a frequency near the established frequency is detected. We call the unit that detects the signal element an “auditory cell.” There are many auditory cells, and they have an established frequency which differs very little. The design of this method is the arrangement of the auditory cells. There are three parameters in the design, and these parameters are a sampling frequency, the number of periods, and the increasing rate of the established frequencies. In this article, we show the selection of these parameters.