Methods for reconstructing amplitude sequences after structuralization while preserving information content.

Аuthors

Rodionov V. ^*, Balakirev N. E.^**, Fadeev M. ^***

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: tuukvadim@live.com
**e-mail: balakirev1949@yandex.ru
***e-mail: fadeev_mix@bk.ru

Abstract

In the processing of measurement signals in aerospace systems, structuralization methods are widely used to represent wave processes through characteristic points and temporal intervals while significantly reducing data volume.
Under constraints of limited telemetry channel bandwidth and restricted onboard computational resources, the problem of reconstructing amplitude samples without degrading information content becomes particularly relevant.
The objective of this study is to develop a method for reconstructing intermediate amplitude values after structuralization, focusing on preserving distinguishable information content rather than exact recovery of the original signal function.
A table-based scaling method for synthesizing intermediate values is proposed, relying on sinusoidal tables and a system of structural admissibility constraints defined by allowable amplitude regions.
The comparison was carried out according to the criteria of the standard deviation of the restored amplitudes and the preservation of the perceived information content.
The proposed approach is evaluated through numerical experiments using acoustic signals that model measurement data and is compared with the classical Bradis sine table method.
The results demonstrate a reduction in average normalized amplitude deviations while maintaining preserved information content, indicating the applicability of the proposed method to signal processing, transmission, and reconstruction tasks in aerospace measurement and telemetry systems.

Keywords:

audio stream; structuralization; amplitude synthesis; intermediate value reconstruction; characteristic points; approximation; table-based methods; topological structure; information content; speech perception.

References

1. Balakirev N. E., Fadeev M. M., Rodionov V. S. Kachestvennyi podkhod v raskrytii informatsionnogo soderzhaniya volnovykh dannykh [Qualitative approach to revealing the information content of wave data]. Trudy MAI, 2024, no. 136. (In Russian). 
2. Balakirev N. E., Evseeva M. V., Fadeev M. M. Reshenie zadachi formirovaniya topologicheskoi pervoosnovy na osnove matritsy otnoshenii [Solving the problem of forming a topological basis using a relation matrix]. In: Informatika: problemy, metody, tekhnologii. Voronezh, 2020, pp. 1559–1566. (In Russian). 
3. Rodionov V. S., Balakirev N. E., Zelenova M. V., Ruban A. A., Fadeev M. M. Dva metoda vosstanovleniya promezhutochnykh znachenii mezhdu kharakternymi tochkami i ikh sravnenie [Two methods for restoring intermediate values between characteristic points and their comparison]. In: Informatika: problemy, metody, tekhnologii. Voronezh, 2021, pp. 575–585. (In Russian). 
4. McAulay R. J., Quatieri T. F. Speech Analysis/Synthesis Based on a Sinusoidal Representation. IEEE Trans. Acoust. Speech Signal Process., 1986, vol. 34, no. 4, pp. 744–754. 
5. Quatieri T. F., McAulay R. J. Speech Transformations Based on a Sinusoidal Representation. IEEE Trans. Acoust. Speech Signal Process., 1986, vol. 34, no. 6, pp. 1449–1464. 
6. Fadeev M. M., Balakirev N. E. Formalizatsiya ponyatiya otnosheniya dlya kachestvennogo analiza dannykh [Formalization of the relation concept for qualitative data analysis]. In: Aktual'nye problemy prikladnoi matematiki, informatiki i mekhaniki. Voronezh, 2022, pp. 1685–1690. (In Russian). 
7. Fadeev M. M., Balakirev N. E., Nguyen H. Z., Malkov M. A. Strukturizatsiya i kachestvennoe rassmotrenie zvukovogo potoka v sisteme sinteza i analiza rechi [Structuring and qualitative analysis of audio stream in speech synthesis and analysis system]. Programmnye produkty i sistemy, 2018, vol. 31, no. 4, pp. 768–776. (In Russian). 
8. Balakirev N. E. Kolichestvennaya i kachestvennaya otsenka issleduemykh ob"ektov na primere prosteishikh otnoshenii [Quantitative and qualitative evaluation of objects using simple relations]. Vestnik Voronezhskogo gosudarstvennogo universiteta. Seriya: Sistemnyi analiz i informatsionnye tekhnologii, 2016, no. 2, pp. 65–72. (In Russian). 
9. Balakirev N. E., Fadeev M. M. Nestandartnoe reshenie zadachi naneseniya vodyanogo znaka zvukovogo potoka na osnove strukturizatsii [A non-standard solution to audio stream watermarking based on structuring]. In: Upravlenie razvitiem krupnomasshtabnykh sistem (MLSD'2024). Moscow, 2024, pp. 1075–1080. (In Russian).

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