The novel method of the estimation of the Fourier transform based on noisy measurements. (English) Zbl 1496.94012
Rutkowski, Leszek (ed.) et al., Artificial intelligence and soft computing. 16th international conference, ICAISC 2017, Zakopane, Poland, June 11–15, 2017. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 10246, 52-61 (2017).
The authors deal with the subject of analyzing the spectrum of signals associated with noise. They propose a method for estimating the frequency content of a signal derived from a nonparametric technique for function estimation. The mechanism used is based on orthogonal series expansions. Thus, the paper proposes a new integral version of nonparametric spectrum estimation using trigonometric series. Examples and numerical experiments are presented as well.
For the entire collection see [Zbl 1364.68015].
For the entire collection see [Zbl 1364.68015].
Reviewer: Liviu Goraş (Iaşi)
MSC:
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |
| 62G05 | Nonparametric estimation |
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