Algorithms for the Vold-Kalman multiorder tracking filter

The paper deals with the Vold-Kalman (VK) multiorder tracking filter. The basic principle of the Vold-Kalman (VK) order tracking filter for only one sinusoidal component of a signal was published many times while an algorithm of tracking more than one harmonic component was not published yet. It is assumed that the frequency of the tracked component is known for each sample of the signal. The multiorder tracking filtration allows the decoupling of the crossing or close orders, i.e. two harmonic signals which are differing in frequency except a certain time moment when both signals can have the same frequency. The analytical calculation method can track only one or two orders, while the PCG method provides a tool for simultaneous decoupling of more than the two orders.