Hi-Accuracy Method for Spectrum Shift Determination
Nadezhda Pavlycheva,
Ayna Niyazgulyyewa,
Airat Sakhabutdinov,
Vladimir Anfinogentov,
Oleg Morozov,
Timur Agliullin,
Bulat Valeev
Affiliations
Nadezhda Pavlycheva
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
Ayna Niyazgulyyewa
Department of Radio Communication and Radio Technology Systems, Institute of Telecommunications and Informatics of Turkmenistan, 68 Magtymguly Avenue, Ashgabat 744000, Turkmenistan
Airat Sakhabutdinov
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
Vladimir Anfinogentov
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
Oleg Morozov
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
Timur Agliullin
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
Bulat Valeev
Department of Radiophotonics and Microwave Technologies, Kazan National Research Technical University Named after A.N. Tupolev-KAI, 10 K. Marx St., 420111 Kazan, Russia
A new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is based on representing the spectrum as a continuous and everywhere differentiable function; expanding it into the Taylor series; approximating all the function derivatives by finite differences of a given order. Thereafter, the spectrum shift is determined using the least-squares method. The method description, its mathematical foundation and the simulation results are given. The advantages of the application of the proposed method are shown.
