Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja
Comparative analysis of Hilbert Huang and discrete wavelet transform in processing of signals obtained from the cutting process: An intermittent turning example
Апстракт
Obrada nestacionarnih signala predstavlja jedan od izazova u proučavanju i upravljanju dinamičkih procesa. Najčešće korišćena kratkotrajna Furijeova transformacija i skalogram imaju značajne nedostatke u obradi signala prikupljenih iz dinamičkih sistema. Dve, relativno nove tehnike koje imaju značajno pogodnija svojstva u obradi nestacionarnih signala su Hilbert Huangova transformacija (Hilbert Huang Transform - HHT) i diskretna vejvlet transformacija (Discrete Wavelet Transform - DWT). Proces rezanja predstavlja izrazito dinamičan proces na koji utiču mnoge pojave kao što su proces formiranja strugotine i dinamički odzivi i stanje svih elemenata obradnog sistema. U ovom radu se vrši komparativna analiza HHT i DWT sa namerom da se ukazivanjem na njihova svojstva daju smernice za odluku koja od ove dve tehnike predstavlja tehniku izbora za konkretnu aplikaciju u skladu sa željenim rezultatima analize signala. Pored kratkih matematičkih osnova razmatranih transformacija, u radu se daju d...va primera: prvi je numerički, a drugi, eksperimentalni, se odnosi na detekciju prekida procesa rezanja tokom prekidnog struganja.
Nonstationary signal analysis is one of the greatest challenges in studying and control of dynamical processes. Cutting process is extremely dynamical process influenced by different phenomena such as chip formation, dynamical responses and conditions of machining system elements. The most commonly used Short Time Fourier Transform and spectrogram as its result have significant shortcomings in processing of signals acquired from dynamical systems. Two relatively new techniques that have notably better properties in the analysis of nonstationary signals are Hilbert Huang Transform (HHT) and Discrete Wavelet Transform (DWT). This paper gives comparative survey of HHT and DWT with the intention of giving the guidelines for deciding which of these techniques is the technique of choice for the analysis of signals obtained from cutting process, considering the desired outcomes of the analysis. Besides brief mathematical foundations of the transforms, the paper illustrates their utilization u...sing two examples, one is numerical, and the other is experimental dealing with detection of cutting process stop during intermittent turning.
Кључне речи:
Hilbert Huang transform / discrete wavelet transform / cutting process monitoringИзвор:
FME Transactions, 2013, 41, 4, 342-348Издавач:
- Univerzitet u Beogradu - Mašinski fakultet, Beograd
Финансирање / пројекти:
- Интелигентни роботски системи за екстремно диверзификовану производњу (RS-MESTD-Technological Development (TD or TR)-35007)
- Истраживање и развој метода моделирања и поступака израде денталних надокнада применом савремених технологија и рачунаром подржаних система (RS-MESTD-Technological Development (TD or TR)-35020)
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Jakovljević, Živana PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1775 AB - Obrada nestacionarnih signala predstavlja jedan od izazova u proučavanju i upravljanju dinamičkih procesa. Najčešće korišćena kratkotrajna Furijeova transformacija i skalogram imaju značajne nedostatke u obradi signala prikupljenih iz dinamičkih sistema. Dve, relativno nove tehnike koje imaju značajno pogodnija svojstva u obradi nestacionarnih signala su Hilbert Huangova transformacija (Hilbert Huang Transform - HHT) i diskretna vejvlet transformacija (Discrete Wavelet Transform - DWT). Proces rezanja predstavlja izrazito dinamičan proces na koji utiču mnoge pojave kao što su proces formiranja strugotine i dinamički odzivi i stanje svih elemenata obradnog sistema. U ovom radu se vrši komparativna analiza HHT i DWT sa namerom da se ukazivanjem na njihova svojstva daju smernice za odluku koja od ove dve tehnike predstavlja tehniku izbora za konkretnu aplikaciju u skladu sa željenim rezultatima analize signala. Pored kratkih matematičkih osnova razmatranih transformacija, u radu se daju dva primera: prvi je numerički, a drugi, eksperimentalni, se odnosi na detekciju prekida procesa rezanja tokom prekidnog struganja. AB - Nonstationary signal analysis is one of the greatest challenges in studying and control of dynamical processes. Cutting process is extremely dynamical process influenced by different phenomena such as chip formation, dynamical responses and conditions of machining system elements. The most commonly used Short Time Fourier Transform and spectrogram as its result have significant shortcomings in processing of signals acquired from dynamical systems. Two relatively new techniques that have notably better properties in the analysis of nonstationary signals are Hilbert Huang Transform (HHT) and Discrete Wavelet Transform (DWT). This paper gives comparative survey of HHT and DWT with the intention of giving the guidelines for deciding which of these techniques is the technique of choice for the analysis of signals obtained from cutting process, considering the desired outcomes of the analysis. Besides brief mathematical foundations of the transforms, the paper illustrates their utilization using two examples, one is numerical, and the other is experimental dealing with detection of cutting process stop during intermittent turning. PB - Univerzitet u Beogradu - Mašinski fakultet, Beograd T2 - FME Transactions T1 - Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja T1 - Comparative analysis of Hilbert Huang and discrete wavelet transform in processing of signals obtained from the cutting process: An intermittent turning example EP - 348 IS - 4 SP - 342 VL - 41 UR - https://hdl.handle.net/21.15107/rcub_machinery_1775 ER -
@article{ author = "Jakovljević, Živana", year = "2013", abstract = "Obrada nestacionarnih signala predstavlja jedan od izazova u proučavanju i upravljanju dinamičkih procesa. Najčešće korišćena kratkotrajna Furijeova transformacija i skalogram imaju značajne nedostatke u obradi signala prikupljenih iz dinamičkih sistema. Dve, relativno nove tehnike koje imaju značajno pogodnija svojstva u obradi nestacionarnih signala su Hilbert Huangova transformacija (Hilbert Huang Transform - HHT) i diskretna vejvlet transformacija (Discrete Wavelet Transform - DWT). Proces rezanja predstavlja izrazito dinamičan proces na koji utiču mnoge pojave kao što su proces formiranja strugotine i dinamički odzivi i stanje svih elemenata obradnog sistema. U ovom radu se vrši komparativna analiza HHT i DWT sa namerom da se ukazivanjem na njihova svojstva daju smernice za odluku koja od ove dve tehnike predstavlja tehniku izbora za konkretnu aplikaciju u skladu sa željenim rezultatima analize signala. Pored kratkih matematičkih osnova razmatranih transformacija, u radu se daju dva primera: prvi je numerički, a drugi, eksperimentalni, se odnosi na detekciju prekida procesa rezanja tokom prekidnog struganja., Nonstationary signal analysis is one of the greatest challenges in studying and control of dynamical processes. Cutting process is extremely dynamical process influenced by different phenomena such as chip formation, dynamical responses and conditions of machining system elements. The most commonly used Short Time Fourier Transform and spectrogram as its result have significant shortcomings in processing of signals acquired from dynamical systems. Two relatively new techniques that have notably better properties in the analysis of nonstationary signals are Hilbert Huang Transform (HHT) and Discrete Wavelet Transform (DWT). This paper gives comparative survey of HHT and DWT with the intention of giving the guidelines for deciding which of these techniques is the technique of choice for the analysis of signals obtained from cutting process, considering the desired outcomes of the analysis. Besides brief mathematical foundations of the transforms, the paper illustrates their utilization using two examples, one is numerical, and the other is experimental dealing with detection of cutting process stop during intermittent turning.", publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd", journal = "FME Transactions", title = "Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja, Comparative analysis of Hilbert Huang and discrete wavelet transform in processing of signals obtained from the cutting process: An intermittent turning example", pages = "348-342", number = "4", volume = "41", url = "https://hdl.handle.net/21.15107/rcub_machinery_1775" }
Jakovljević, Ž.. (2013). Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja. in FME Transactions Univerzitet u Beogradu - Mašinski fakultet, Beograd., 41(4), 342-348. https://hdl.handle.net/21.15107/rcub_machinery_1775
Jakovljević Ž. Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja. in FME Transactions. 2013;41(4):342-348. https://hdl.handle.net/21.15107/rcub_machinery_1775 .
Jakovljević, Živana, "Uporedna analiza Hilbert Huangove i diskretne vejvlet transformacije u analizi signala prikupljenih iz procesa rezanja - primer prekidnog struganja" in FME Transactions, 41, no. 4 (2013):342-348, https://hdl.handle.net/21.15107/rcub_machinery_1775 .