Separation and time series quasi gapping

The input signal can be expressed in terms of finite timing series. The parametric estimation methods are of primary important in estimating of its harmonic component parameters.

The parametric methods in contrast to the classic spectrum analyses methods allow estimating parameters of signals, which have a resolution value larger than reciprocal of time series length. However the difficulties related primarily to the computer information processing prevent from wide use of parametric methods.

The purpose of this paper is to substantiate a possibility of original timing series dividing (separation). After that there are independent time series consisting of harmonic components only which can-t resolute by a filter method; with problem order reducing (quasigapping).

It is shown in this paper, that the preliminary preparations of time series before using parametric spectral analysis methods can combine the classical harmonic analysis and the use of narrow-band filtering based on the Discrete Fourier Transform, signal filter dividing (separation) into disjoint groups, spectrum truncating and its Inverse Discrete Fourier Transform in each group to time series quasigapping equivalently. It allows us to get a smaller independent time series, containing only the input signal harmonic components which can-t resolute by a filter method.