Statement of a problem of definition of linear signals parameters in quasinormed space
DOI:
https://doi.org/10.3103/S0735272710070046Keywords:
linear parameters, quasinormed spaces, method of minimum of duration, myriad filteringAbstract
It is proposed an approach of statement of a problem of signals linear parameters definition, which is based on a conception of a space Lp, 0 ≤ p < 1. It is shown that formulating the criteria in these spaces has its advantages in case when processed signals contain rough deviations from their models values, appearing due to missing or premeditated distortion of a part of their values, or when different signal fragments correspond to different model parameters values. It is underlined that in case of noise absence problem statements in L0 and Lp, 0 < p < 1, are equivalent, and in case of noise presence an optimal value of p must exist. There is represented generalized functional; its particular cases are functional analogs of myriad and meridian filtrations.
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