New Digital Signal Processing Methods by Raoul R. Nigmatullin & Paolo Lino & Guido Maione

Author:Raoul R. Nigmatullin & Paolo Lino & Guido Maione
Language: eng
Format: epub
ISBN: 9783030453596
Publisher: Springer International Publishing

5.3 Description of the General Detection Algorithm

This section proposes an algorithm that detects the QP process from real data and performs the corresponding fit to the general solution (5.6). The algorithm can be divided into two fundamental steps.

Step 1: Finding the value of T.

The first important step is related to finding the period T from a priori information. If this parameter can be found, then it becomes easier to reduce the general nonlinear fitting problem to the well-known procedure based on the linear least square method (LLSM) . The development of the method when this a priori information is absent warrants further analysis. To find T, it is necessary to have data repeated with a fixed period T many times. If some necessary conditions for repeating the measuring process are fulfilled, then one can link this time of recycling with T.

What if this period T is known only approximately?

In this case, one can use the statistics of the fractional moments [12, 13] and use a procedure that can separate statistically homogeneous segments of length T from the general sampling set having length equal to TL >> T. To find these statistically homogeneous segments, at least two criteria are suggested as specified below.(a)The criterion based on external correlations.

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