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Камбанният звън – акустично, математическо и технологично предизвикателство

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Камбанният звън – акустично, математическо и технологично предизвикателство. Тихомир Трифонов , Цветанка Георгиева Department of Mathematics and Informatics, University of Veliko Tarnovo “ St . St . Cyril and Methodius ”, Bulgaria.

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Камбанният звън – акустично, математическо и технологично предизвикателство

Тихомир Трифонов, Цветанка Георгиева

Department of Mathematics and Informatics,

University of Veliko Tarnovo “St. St. Cyril and Methodius”,

Bulgaria

The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Съхраняването на уникалния звън и параметрите на ценни за нашата култура църковни камбани е голямо научно предизвикателство.
  • Измерването на звук и вибрация в условията на реални обекти ― камбанарии на църкви и музейни помещения е сложна задача. Необходима е уникална апаратура и специална обработка на суровия сигнал.
  • В настоящата статия е представено приложение, прилагащо методи за цифрова обработка на сигнали за анализиране на звукове от камбани.
  • Подробна информация за използваните за целта камбани се поддържа в аудио и видео архив на уникални български камбани.
  • Приложението е реализирано на MatLab и осигурява възможност за търсене на камбани от архива според тяхното звучене.

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Методи за анализ, използвани в приложението
  • Спектрален анализ чрез дискретно преобразуване на Фурие
  • Цифрова филтрация
  • Уейвлет анализ

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Звук на камбана от Килифаревски манастир "Свето Рождество Богородично" в Килифарево, България

The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Спектър

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Спектрограма, получена чрез STFT

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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3D спектрограма

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Спектрални съставящи

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Графичния интерфейс на приложението

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Уейвлет трансформация (FLWT – fast lifting wavelet transform)

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Търсене на камбани според тяхното звучене по намерените съставящи
  • В архива се поддържа информация за предварително пресметнатите съставящи.
  • При търсенето се проверява дали разликата в честотите на съответните частични не надхвърля предварително зададена от потребителя стойност
  • За реализация на търсенето е създадена съхранена процедура, като е използван Transact-SQL с цел да се повиши производителността, тъй като при SQL се обработват набори от данни.

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Comparison between the samples of two strikes of one bell (6114_06_01) of the monastery "St. Nativity of Virgin Mary" - Kilifarevo Monastery, Kilifarevo

Partial Frequency Amplitude TailAmp Ratio fi/f1

-----------------------------------------------------------------

1 302.243 34.948 16.350 1.000

2 592.124 53.895 15.288 1.959

3 698.080 57.539 24.559 2.310

4 954.829 35.236 24.279 3.159

5 1174.523 64.233 33.793 3.886

6 1435.637 22.072 22.888 4.750

7 1648.431 33.699 24.014 5.454

8 1775.977 59.507 26.505 5.876

9 1987.498 30.218 24.462 6.576

10 2267.458 24.582 30.388 7.502

Partial Frequency Amplitude TailAmp Ratio fi/f1

-----------------------------------------------------------------

1 301.743 31.024 7.152 1.000

2 592.466 48.769 12.929 1.963

3 698.090 57.217 19.595 2.314

4 950.793 25.261 31.921 3.151

5 1174.435 60.931 28.891 3.892

6 1453.213 23.821 26.768 4.816

7 1648.266 28.519 30.374 5.462

8 1774.781 65.925 25.363 5.882

9 2001.135 32.750 36.556 6.632

10 2287.602 26.836 28.026 7.581

The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Comparison between the samples of two strikes of one bell (6114_06_01) of the monastery "St. Nativity of Virgin Mary" - Kilifarevo Monastery, Kilifarevo

The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Data acquisition of the experimental data (PULSE 12, B&K)

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Литература

1. E. Larson, R Maddox, Real-time time domain pitch tracking using wavelets, In Proceedings of the University of Illinois at Urbana Champaign Research Experience for Undergraduates Program, 2005.

2. Microsoft Corporation, MCSE Training: Microsoft SQL Server 2000 Database Design and Implementation, SoftPress Ltd., 2001.

3. M. Misiti, Y. Misiti, G. Oppenheim, J.-M. Poggi, Wavelet Toolbox, Users Guide, The Math Works, 2006.

4. R. Pintelon, J. Schouken, System Identification, A Frequency Domain Approach, IEEE Press, 2001.

5. A.B. Sergienko, Digital Signal Processing, Piter, 2007 (in Russian).

6. J. O. Smith, Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications – Second Edition, W3K Publishing, 2007, http://ccrma.stanford.edu/~jos/mdft.

7. T. Trifonov, Tsv. Georgieva, Web based approach to managing audio and video archive for unique Bulgarian bells, In Proceedings of the Tenth International Conference on System Analysis and Information Technologies, Kyiv, Ukraine, 2008, page 325.

8. The Bell Project “Research and Identification of Valuable Bells of the Historic and Culture Heritage of Bulgaria and Development of Audio and Video Archive with Advanced Technologies” Website, http://www.math.bas.bg/bells

9. The MathWorks Website, http://www.mathworks.com

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The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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Благодаря за вниманието!

The work was supported partially by the Bulgarian National Science Fund under Grant KIN-1009/2006

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