Abstract
In recent decades, wavelet functions have been used in radio engineering and communication systems for processing complex signals and images in parallel with the Fourier transform methods. Based on orthogonal bases, wavelets occupy an intermediate position between a sinusoid and an impulse function and, due to their unique properties, can approximate any function. Algorithms for analysis and reconstruction, as well as wavelet filtering of radio engineering signals, are presented, which use the best wavelet bases, optimal decomposition levels, effective thresholding methods and optimal threshold values selected as a result of research. Programs have been developed which implement the above algorithms, which calculate the estimating parameters of the analyzed signals, which make it possible to evaluate the effectiveness of the algorithms. Based on the research results, a computer model has been developed which performs analysis and reconstruction, as well as wavelet filtering of a one-dimensional signal, providing minimal reconstruction errors and effective noise removal.
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