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Modification of the known family of raised cosine weighting functions with the power of n by using its convolution operation with an auxiliary rectangular window having variable duration time is considered in the paper. Such a modified functions family was derived in a general and exact form for the defined weighting function in a time and frequency domain as well. It was done with the help of the convolution windows constant – length type preparation technique. The derived weighting function was applied for radar chirp signals synthesis with nonlinear frequency modulation (NLFM). Chosen examples of the simulation research of the discussed modified weighting functions family features and radar signals of NLFM type synthesised thanks to it are presented in the paper.

Modification of raised cosine weighting functions family