Pre-correction of phase-frequency characteristics of digital filters

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The article is devoted to the synthesis of a digital filter computer model with zero phase-frequency characteristic. A predetermined structural implementation of the digital filter with zero phase-frequency response is based on double filtering of the signal in the forward and reverse directions, as well as on filters with a finite impulse response. This article discusses the implementation of a filter with zero phase-frequency response based on filters with infinite impulse response. The implementation of pre-correction of the phase-frequency response of the filter is achieved due to the use of the two-channel structural diagram with the input signal spectrum transfer. The complexity of using filters with an infinite impulse response is associated with its nonlinearity, which requires pre-correction in order to linearize the phase-frequency response. The article discusses both a mathematical model of signal passage through a block diagram and a computer model in the Matlab-Simulink environment in static and dynamic modes.

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M. Shakurskiy

Povolzhskiy State University of Telecommunications and Informatics

编辑信件的主要联系方式.
Email: m.shakurskiy@psuti.ru

Head of Information Security Department, Doctor of Technical Sciences

俄罗斯联邦, Samara

参考

  1. Sergienko A.B. Digital Signal Processing. Saint Petersburg: Piter, 2005, 604 p. (In Russ.)
  2. Krylosova D.A. et al. Self-oscillating systems with controlled phase of external force. Izvestiya vysshih uchebnyh zavedenij. Prikladnaya nelinejnaya dinamika, 2023, vol. 31, no. 5, pp. 549–565. doi: 10.18500/0869-6632-003057 (In Russ.)
  3. Kormylo J., Jain.V. Two-pass recursive digital filter with zero phase shift. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1974, vol. 22, no. 5, pp. 384–387. doi: 10.1109/TASSP.1974.1162602
  4. De Lima P.V.S.G. et all. Zero-phase FIR filter design algorithm for repetitive controllers. Energies, 2023, vol. 16, no. 5. URL: https://www.researchgate.net/publication/369056353_Zero-Phase_FIR_Filter_Design_Algorithm_for_Repetitive_Controllers (accessed: 25.05.2024).
  5. Chang G., Yan S., Wang Y. Application of zero-phase digital filter on non-stationary signal processing. Journal of Beijing Jiaotong University, 2011, vol. 35, no. 6, pp. 49–56.
  6. Ang W.T., Krichane M. Zero phase filtering for active compensation of periodic physiological motion. Biomedical Robotics and Biomechatronics (BioRob 2006), 2006, pp. 182–187.
  7. Ivanov V.V., Shakurskiy V.K. Generator, Phase and Frequency Converters and Modulators. Moscow: Radio i svyaz’, 2003, 184 p. (In Russ.)
  8. Digital Filter with Zero-Phase Characteristic: patent 109619. Russian Federation. No. 2011123825 / V.K. Shakurskiy (RU), M.V. Shakurskiy (RU); zayavl. 10.06.2011; opubl. 20.10.2011, byul. no. 29. (In Russ.)
  9. Shakurskiy V.K., Shakurskiy M.V. Mathematical model of digital filters based on frequency selection method. Vektor nauki Tol’yattinskogo gosudarstvennogo universiteta, 2011, no. 2 (16), pp. 98–100. (In Russ.)
  10. Digital Filter with Phase Response Pre-Correction: patent 221361. Russian Federation. No. 2023125738 / M.V. Shakurskiy (RU); zayavl. 09.10.2023; opubl. 02.11.2023, byul. no. 31. (In Russ.)

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