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# WAVELET ANALYSIS OF HEIGHT AT POINTS OF THE CHANNEL OF A SMALL RIVER FROM THE MOUTH ON SPACE IMAGES

Dr. Sc., Prof. Peter Matveevich Mazurkin, Yana Oltgovna Georgieva

ABSTRACT

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The purpose of the article is to analyze asymmetric wavelets of changing the coordinate - the local elevation of the Irovka river channel, as well as the influence of local latitude and longitude on it of 290 characteristic points along the river channel from source to mouth. After identifying the general wavelet equation, 12 terms were obtained in the form of asymmetric wavelets with variable amplitude and oscillation period. The first three members gave a correlation coefficient of 0.9993, which is slightly less than for latitude 0.9999, but more than for longitude 0.9991. As a result, all three coordinates have the strongest factorial relation with an adequacy of more than 0.999. All 12 wavelets distribute 95.52% of the points of the channel with a model error of up to 5%. The first term of the error distribution formula at 290 points of the river bed is the Laplace (Mandelbrot, Zipf-Perl, Pareto) law of exponential decline, and the second equation shows the stress excitation of the number of errors according to the biotechnical law. The comparison showed that 25 fractal terms were obtained for latitude, 18 for longitude, and 12 wavelets for altitude. As a result, height as a factor also shows high certainty in the quantization of wave equations. A zero rank in the fractal distribution of 12 wavelets receives an arithmetic mean value. The standard deviation decreases from 12.219 for the arithmetic mean to 1.489, that is, 8.2 times, for the first term. After the 12th wavelet, according to the tri-sigma rule, a spread of 0.3 m is formed, which is much less than the actual measurement error of 0.5 m for height from satellite images

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KEYWORDS

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river, satellite image, height, wavelets

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