Tracking accuracy of growing-memory filter using an alternating range-Doppler coupling coefficient

M.A. Murzova

doi:10.18127/j00338486-202610-14

Tracking accuracy of growing-memory filter using an alternating range-Doppler coupling coefficient

M.A. Murzova¹

research article UDC 621.396.96 Pages: 169-184 doi.org/10.18127/j00338486-202610-14

¹ PJSC “Radiofizika” (Moscow, Russia)

Keywords: Alternating range-Doppler coupling coefficient growing-memory filter lag errors tracking accuracy

Abstract

In modern radar systems, the use of a linear frequency-modulated (LFM) signal leads to the range-Doppler coupling error in the range measurements. This error depends on the frequency deviation of the transmitted LFM signal. In many cases, the frequency deviation of the transmitted LFM signal is either positive or negative, and consequently the range-Doppler coupling error is constant. Based on the assumption of the constant range-Doppler coupling coefficient, Kalman filters have been synthesized. In this paper the Kalman filter is synthesized under the assumption that the space is probed with two alternating types of LFM signals, and consequently the range-Doppler coupling coefficient takes two alternating values. Expressions are presented for calculating the accuracy performance of the growing memory filter with an alternating range-Doppler coupling coefficient. The expressions are then used to derive those for the growing-memory filter with an alternating-sign range-Doppler coupling coefficient.

Received: 16.09.2026
Approved after review: 21.09.2026
Accepted: 30.09.2026

How to cite

Мурзова М.А. Фильтр с растущей памятью и чередующимся коэффициентом скоростного смещения // Радиотехника. 2026. Т. 90. № 10. С. 169−184. DOI: https://doi.org/10.18127/j00338486-202610-14

References

Shirman Ya.D. Teoreticheskie osnovy radiolokacii. M.: Sovetskoe radio. 1970 (in Russian).
Fetisov S.E., Voloshin Yu.P. Voprosy prognozirovaniya dal'nosti dlya ustraneniya skorostnoj oshibki i rezul'taty naturnogo eksperimenta. Vestnik Koncerna VKO «Almaz – Antej». 2021. № 3. S. 25–30. DOI: 10.38013/2542-0542-2021-3-25-30 (in Russian).
Murzova M.A., Farber V.E. Ocenka dal'nostnoj sostavlyayushchej dvizheniya radiolokacionnyh ob"ektov v RLS s LChM-signalom: uchebnoe posobie. M.: MFTI. Fiztekh. 2025 (in Russian).
Murzova M.A., Farber V.E. Sravnenie sposobov kompensacii skorostnoj oshibki po dal'nosti v algoritmah ocenki dal'nosti i radial'noj skorosti. Radiotekhnika. 2019. T. 83. № 4. S. 5−16.
Murzova M.A. The Process Noise Model of Kalman Filter for Chirp Radar. IEEE 2019 VIth International Conference on Engineering and Telecommunication. 2019. P. 1–4.
Murzova M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na harakteristiki fil'trov 2-go poryadka s rastushchej pamyat'yu. Radiotekhnika. 2023. T. 87. № 9. S. 5−23. DOI: https://doi.org/10.18127/j00338486-202309-01 (in Russian).
Murzova M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na harakteristiki diffuzionnyh fil'trov 2-go poryadka. Radiotekhnika. 2024. T. 88. № 4. S. 5–23. DOI: https://doi.org/10.18127/j00338486-202404-01.
Murzova M.A., Farber. V.E. The Transient Response of αβ-Filter for Tracking with LFM Waveforms. IEEE 2018 Vth International Conference on Engineering and Telecommunication. 2018. P. 118–121.
Murzova M.A., Farber V.E. Skhodimost' α-β-fil'tra dlya razlichnyh znachenij koefficientov skorostnogo smeshcheniya. Radiotekhnika. 2018. T. 82. № 10. S. 5−17. DOI: 10.18127/j00338486-201810-01.
Murzova M.A., Farber V.E. The α-β-Filter for Tracking Maneuvering Objects with LFM Waveforms. 2017 IVth International Conference on Engineering and Telecommunication. IEEE. 2017. P. 104–107.
Murzova M.A., Farber V.E. Vybor koefficientov sglazhivaniya α-β fil'tra po kriteriyu minimuma dispersii summarnoj oshibki dlya RLS s LChM-signalom. Radiotekhnika. 2018. T. 82. № 4. S. 5−16.
Jain V., Blair W.D. Filter Design for Steady-State Tracking of Maneuvering Targets with LFM Waveforms. IEEE Transactions on Aerospace and Electronic Systems. 2009. V. 45. № 2. P. 765−773.
Wong W., Blair W.D. Steady-state tracking with LFM waveforms. IEEE Transactions on Aerospace and Electronic Systems. 2000. V. 36. № 2. P. 701−709.
Trofimenko M.A., Farber V.E. Ocenka vliyaniya nalichiya skorostnoj oshibki pri izmereniyah dal'nosti v RLS s LChM-signalom na granicy ustojchivosti algoritmov ocenki dal'nosti i radial'noj skorosti. Radiotekhnika. 2015. T. 79. № 10. S. 7−16 (in Russian).
Murzova M.A., Farber V.E. Ocenka granic ustojchivosti kvazioptimal'nyh fil'trov pervogo poryadka s uchetom skorostnoj oshibki po dal'nosti. Radiotekhnika. 2020. T. 84. № 4. S. 5−15. DOI: 10.18127/j00338486-202004(7)-01 (in Russian).
Trofimenko M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na ustojchivost' fil'trov vtorogo poryadka. Radiotekhnika. 2016. T. 80. № 4. S. 5−17 (in Russian).
Murzova M. A., Farber V. E., Golovko M. V. Ocenka granic ustojchivosti fil'tra vtorogo poryadka s effektivnoj konechnoj pamyat'yu i nepolnoj kompensaciej skorostnoj oshibki. Ekonomika. Informatika. 2023. T. 53(2). S. 400−407. https://doi.org/10.52575/2687-0932-2026-53-2-400-407 (in Russian).
Murzova M.A., Farber V.E. Nachal'nye parametry traektorii dlya raboty fil'tra Kalmana pri nalichii skorostnoj oshibki po dal'nosti. Radiotekhnika. 2024. T. 88. № 10. S. 14−32. DOI: https://doi.org/10.18127/j00338486-202410-02 (in Russian).
Fitzgerald R. J. Effects of Range-Doppler Coupling on Chirp Radar Tracking Accuracy. IEEE Transactions on Aerospace and Electronic Systems. 1974. V. AES-10. № 4. P. 528-532.
Corwell J., Blair W. D., Bar-Shalom Y. Steady-state filter design for radar tracking with up-chirp-down-chirp waveforms. 2020 IEEE International Radar Conference (RADAR). 2020. P. 884−888. DOI: 10.1109/RADAR42522.2020.9114706.
Saho K. Steady-State Performance Analysis of Tracking Filter Using LFM Waveforms and Range-Rate Measurement. Mathematical Problems in Engineering. 2018. V. 2018.

[1] Shirman Ya.D. Teoreticheskie osnovy radiolokacii. M.: Sovetskoe radio. 1970 (in Russian).

[2] Fetisov S.E., Voloshin Yu.P. Voprosy prognozirovaniya dal'nosti dlya ustraneniya skorostnoj oshibki i rezul'taty naturnogo eksperimenta. Vestnik Koncerna VKO «Almaz – Antej». 2021. № 3. S. 25–30. DOI: 10.38013/2542-0542-2021-3-25-30 (in Russian).

[3] Murzova M.A., Farber V.E. Ocenka dal'nostnoj sostavlyayushchej dvizheniya radiolokacionnyh ob"ektov v RLS s LChM-signalom: uchebnoe posobie. M.: MFTI. Fiztekh. 2025 (in Russian).

[4] Murzova M.A., Farber V.E. Sravnenie sposobov kompensacii skorostnoj oshibki po dal'nosti v algoritmah ocenki dal'nosti i radial'noj skorosti. Radiotekhnika. 2019. T. 83. № 4. S. 5−16.

[5] Murzova M.A. The Process Noise Model of Kalman Filter for Chirp Radar. IEEE 2019 VIth International Conference on Engineering and Telecommunication. 2019. P. 1–4.

[6] Murzova M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na harakteristiki fil'trov 2-go poryadka s rastushchej pamyat'yu. Radiotekhnika. 2023. T. 87. № 9. S. 5−23. DOI: https://doi.org/10.18127/j00338486-202309-01 (in Russian).

[7] Murzova M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na harakteristiki diffuzionnyh fil'trov 2-go poryadka. Radiotekhnika. 2024. T. 88. № 4. S. 5–23. DOI: https://doi.org/10.18127/j00338486-202404-01.

[8] Murzova M.A., Farber. V.E. The Transient Response of αβ-Filter for Tracking with LFM Waveforms. IEEE 2018 Vth International Conference on Engineering and Telecommunication. 2018. P. 118–121.

[9] Murzova M.A., Farber V.E. Skhodimost' α-β-fil'tra dlya razlichnyh znachenij koefficientov skorostnogo smeshcheniya. Radiotekhnika. 2018. T. 82. № 10. S. 5−17. DOI: 10.18127/j00338486-201810-01.

[10] Murzova M.A., Farber V.E. The α-β-Filter for Tracking Maneuvering Objects with LFM Waveforms. 2017 IVth International Conference on Engineering and Telecommunication. IEEE. 2017. P. 104–107.

[11] Murzova M.A., Farber V.E. Vybor koefficientov sglazhivaniya α-β fil'tra po kriteriyu minimuma dispersii summarnoj oshibki dlya RLS s LChM-signalom. Radiotekhnika. 2018. T. 82. № 4. S. 5−16.

[12] Jain V., Blair W.D. Filter Design for Steady-State Tracking of Maneuvering Targets with LFM Waveforms. IEEE Transactions on Aerospace and Electronic Systems. 2009. V. 45. № 2. P. 765−773.

[13] Wong W., Blair W.D. Steady-state tracking with LFM waveforms. IEEE Transactions on Aerospace and Electronic Systems. 2000. V. 36. № 2. P. 701−709.

[14] Trofimenko M.A., Farber V.E. Ocenka vliyaniya nalichiya skorostnoj oshibki pri izmereniyah dal'nosti v RLS s LChM-signalom na granicy ustojchivosti algoritmov ocenki dal'nosti i radial'noj skorosti. Radiotekhnika. 2015. T. 79. № 10. S. 7−16 (in Russian).

[15] Murzova M.A., Farber V.E. Ocenka granic ustojchivosti kvazioptimal'nyh fil'trov pervogo poryadka s uchetom skorostnoj oshibki po dal'nosti. Radiotekhnika. 2020. T. 84. № 4. S. 5−15. DOI: 10.18127/j00338486-202004(7)-01 (in Russian).

[16] Trofimenko M.A., Farber V.E. Ocenka vliyaniya skorostnoj oshibki na ustojchivost' fil'trov vtorogo poryadka. Radiotekhnika. 2016. T. 80. № 4. S. 5−17 (in Russian).

[17] Murzova M. A., Farber V. E., Golovko M. V. Ocenka granic ustojchivosti fil'tra vtorogo poryadka s effektivnoj konechnoj pamyat'yu i nepolnoj kompensaciej skorostnoj oshibki. Ekonomika. Informatika. 2023. T. 53(2). S. 400−407. https://doi.org/10.52575/2687-0932-2026-53-2-400-407 (in Russian).

[18] Murzova M.A., Farber V.E. Nachal'nye parametry traektorii dlya raboty fil'tra Kalmana pri nalichii skorostnoj oshibki po dal'nosti. Radiotekhnika. 2024. T. 88. № 10. S. 14−32. DOI: https://doi.org/10.18127/j00338486-202410-02 (in Russian).

[19] Fitzgerald R. J. Effects of Range-Doppler Coupling on Chirp Radar Tracking Accuracy. IEEE Transactions on Aerospace and Electronic Systems. 1974. V. AES-10. № 4. P. 528-532.

[20] Corwell J., Blair W. D., Bar-Shalom Y. Steady-state filter design for radar tracking with up-chirp-down-chirp waveforms. 2020 IEEE International Radar Conference (RADAR). 2020. P. 884−888. DOI: 10.1109/RADAR42522.2020.9114706.

[21] Saho K. Steady-State Performance Analysis of Tracking Filter Using LFM Waveforms and Range-Rate Measurement. Mathematical Problems in Engineering. 2018. V. 2018.

Abstract

How to cite

Related articles