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Frequency content preservation in fractional multi-frequency oscillators despite reducing the number of energy storage elements

Tavazoei, M. S ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1007/s00034-021-01944-x
  3. Publisher: Birkhauser , 2022
  4. Abstract:
  5. Recently, a class of fractional multi-frequency oscillators, constructed based on using n integrators and n half-order ones, has been introduced, whose steady-state responses contain sinusoidal components with 0.5 (3 n- 1 ) number of selectable frequencies. In this paper, the structure of the introduced multi-frequency oscillator is modified such that, notwithstanding the frequency content preservation, the number of its involved integrators is reduced. With no effect on the frequency content of the generated oscillations, this modification causes that the circuitry implementation of the considered class of multi-frequency oscillators can be done with a less number of energy storage elements. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature
  6. Keywords:
  7. Energy storage elements ; Frequency content ; Multi-frequency oscillations ; Circuit oscillations ; Oscillators (mechanical) ; Energy storage element ; Fractional oscillators ; Frequency contents ; Frequency oscillations ; Frequency oscillators ; Multi frequency ; Multi-frequency oscillation ; Sinusoidal components ; Steady-state response ; Storage elements ; Energy storage
  8. Source: Circuits, Systems, and Signal Processing ; Volume 41, Issue 6 , 2022 , Pages 3066-3080 ; 0278081X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00034-021-01944-x