Integrated Kurtosis-Based Algorithm for Z-Notch Filter (I-kazTM) Multilevel Coefficients Responses toward the Simultaneous Changes in Amplitude and Frequency of Signals

Abstract

The response of Integrated Kurtosis-Based Algorithm for Z-Notch Filter (I-kazTM) Multilevel coefficients toward the simultaneous changes in amplitude and frequency of signals was unknown. This study presents the coefficients responses toward the synthetic signals which vary in amplitude and frequency simultaneously. The I-kazTM Multilevel coefficients, 3rd order (3Z∞), 4th order (4Z∞), 5th order (5Z∞), 6th order (6Z∞), 7th order (7Z∞) and 8th order (8Z∞) were investigated by analyzing their response using three types of synthetic signals, FIAI, FIAD and FDAI. The responses of the I-kazTM Multilevel coefficients were analyzed by either increasing or decreasing the amplitude and frequency in the synthetic signals simultaneously. This study indicated that the response of all orders of I-kazTM Multilevel coefficients showed an increasing trend with respect to the increment in amplitude of FIAI and FDAI. All the coefficients however showed a decreasing trend in FIAD synthetic signal study regardless the increase in the frequency. The study also indicated that the change in amplitude has more influence than the change in frequency in the I-kazTM Multilevel coefficients responses. The influence ratio of the amplitude to frequency change was estimated to be 86.96-13.06%, respectively. Recognizing the behaviour of I-kazTM Multilevel coefficients toward the change in amplitude and frequency is important especially when analysing dynamic signals.