DOI: 10.17587/prin.10.281-288

Automatic Tools for Construction Process of Frequency Distribution Histograms on the Results of Continuous Wavelet Transform by Morlet Function

D. N. Kobzarenko^1,2, kobzarenko_dm@mail.ru, A. M. Kamilova ¹, anna702@mail.ru, B. I. Shikhsaidov ³, sbi707@yandex.ru,
¹Institute for Geothermal Research of Dagestan Scientific Center of Russian Academy of Sciences, Makhachkala, 367030, Russian Federation,
²Dagestan State University of National Economy, Makhachkala, 367008, Russian Federation,
³Dagestan State Agrarian University M. M. Dzhambulatova, Makhachkala, 367032, Russian Federation

Corresponding author: Kobzarenko Dmitry N. Head of Laboratory, Institute for Geothermal Research of Dagestan Scientific Center of Russian Academy of Sciences, Makhachkala, 367030, Russian Federation, E-mail: kobzarenko_dm@mail.ru

Visualization of the continuous wavelet transform matrix in the form of a two-dimensional picture with different color shades gives primary information about the frequency dynamics of the input signal. However, such a representation is not complete, and can be extended with the tool for constructing histograms of the frequency distribution. The process of constructing frequency distribution histograms based on wavelet transform matrices can be automated by creating additional software. The development purpose is the creation of automation tools for constructing frequency distribution histograms based on the results of the continuous wavelet transform by the Morlet function. This will provide an opportunity to quantify and to compare the results of the continuous wavelet transform from the Morlet wavelet for meteorological time series. Development tasks include:

• to provide the ability of loading large two-dimensional arrays of the continuous wavelet transform results;
• to provide the ability to set the periodicities interval range;
• to provide the ability to composite data from different sources and different time periods for the chart;
• to provide the ability to display multiple histograms within one chart;
• to provide the ability of saving the results.

The main characteristics of the development are:

• composition of the source data within one working directory;
• flexibility in the choice for histogram constructing parameters such as: type of time series, data source, year and month, day and night time;
• setting a frequency range;
• saving the results in a bitmap image.

The results can be applied in research for time-frequency characteristics of time series given at one or several measurements per day using the tool of continuous wavelet transform. The software allows to extract information about the frequency distribution, which is not visible in an explicit form when wavelet transform matrices are visual­ized. If necessary, it can be modified to solve some scientific tasks, for example, for another wavelet function or time series with a different scale.

Keywords: time-frequency analysis, software, histogram, continuous wavelet transform, Morlet wavelet function, meteorological time series

pp. 281–288.

For citation:
Kobzarenko D. N., Kamilova A. M., Shikhsaidov B. I. Automatic Tools for Construction Process of Frequency Distribution Histograms on the Results of Continuous Wavelet Transform by Morlet Function, Programmnaya Ingeneria, 2019, vol. 10, no. 6, pp. 281—288.