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- W4313464551 abstract "To study the filtering of modular signals, a specially generated model signal was used, which consists of attenuating harmonics of a random initial frequency and a phase with half overlap. With the help of the window ganning provides smoothness at the end of the generated signal. Due to the use of Euclidean norms of vectors formed from wavelet coefficients of approximation and detail for all levels of decomposition of the model signal with noise and without obtaining a mathematical model, the change of noise power for filtration efficiency is taken into account. The study of the obtained mathematical model proved the existence of two different levels of decomposition distributed error from the influence of noise for the coefficients of appropriation and detail depending on the number of harmonics in the signal model. For the proposed model signal is indeterminate from the initial frequencies and attenuation coefficients of changes in the error of the error determined through the Euclidean norms of vectors for the coefficients of approximation and detail occurs when the number of harmonics of twenty families is exceeded. An important result of this analysis is that it allows to identify such levels of decomposition at which the relative error of both coefficients of both detail and approximation will be minimal. This confirms the presence of a minimum average dramatic MSE of the threshold filtering efficiency in which remains powerful at the second level of decomposition for the generated model signal when the noise changes. In addition, this error value is further reduced by selecting a discrete wavelet. The non-threshold method of discrete filter wavelet is compared with the methods of general and universal thresholds for the proposed model function in the conditions of noise power change. The unconditional advantage of the method without a threshold is the minimal use of computing resources. The above wavelet filtering technique can be used for other signal functions. The proposed model function is given as a general example." @default.
- W4313464551 created "2023-01-06" @default.
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- W4313464551 date "2022-01-01" @default.
- W4313464551 modified "2023-10-14" @default.
- W4313464551 title "INVESTIGATION OF THE INFLUENCE OF ADAPTIVE NOISE ON THE EFFICIENCY OF DISCRETE THRESHOLDFUL WAVELET FILTRATION OF MODULATED SIGNALS" @default.
- W4313464551 doi "https://doi.org/10.26661/2413-6549-2022-1-10" @default.
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