Use of Husimi function in time frequency signal analysis
Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala
Апстракт
Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals.
U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.
Кључне речи:
Husimi function / Wigner function / time frequency analysis / Husimijeva funkcija / Vignerova funkcija / vremensko-frekvencijska analizaИзвор:
Tehnika, 2013, 68, 5, 905-909Издавач:
- Savez inženjera i tehničara Srbije, Beograd
Финансирање / пројекти:
- Нови приступ проблемима заснивања квантне механике са аспекта примене у квантним технологијама и интерпретацијама сигнала различитог порекла (RS-MESTD-Basic Research (BR or ON)-171028)
Колекције
Институција/група
GraFarTY - JOUR AU - Davidović, Miloš D. AU - Davidović, Milena AU - Srećković, Milesa PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/500 AB - Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals. AB - U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala. PB - Savez inženjera i tehničara Srbije, Beograd T2 - Tehnika T1 - Use of Husimi function in time frequency signal analysis T1 - Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala EP - 909 IS - 5 SP - 905 VL - 68 UR - https://hdl.handle.net/21.15107/rcub_grafar_500 ER -
@article{ author = "Davidović, Miloš D. and Davidović, Milena and Srećković, Milesa", year = "2013", abstract = "Husimi function originated in phase space formulation of quantum mechanics. This function appears naturally whenever simultaneous measurement of coordinate and impulse with maximal accuracy allowed by the Heisenberg uncertainty relation is performed on a given quantum state and it represents the probability distribution for simultaneous unsharp measurement of coordinate and impulse. Husimi function may analogously be defined for any pair of conjugated variables. In analysis of time varying signals these variables are time and frequency. In this paper we consider Husimi function in time-frequency space, we derive some properties of the function and give time-frequency analysis of some characteristic signals., U ovom radu razmotrena je Husimijeva funkcija na prostoru kanonski spregnutih promenljivih vreme-frekvencija. Izvedene su neke njene nove osobine koje su ilustrovane na nekoliko analitički zadatih signala. Pokazano je da se Husimijeva funkcija može koristiti pri vremensko-frekvencijskoj analizi signala.", publisher = "Savez inženjera i tehničara Srbije, Beograd", journal = "Tehnika", title = "Use of Husimi function in time frequency signal analysis, Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala", pages = "909-905", number = "5", volume = "68", url = "https://hdl.handle.net/21.15107/rcub_grafar_500" }
Davidović, M. D., Davidović, M.,& Srećković, M.. (2013). Use of Husimi function in time frequency signal analysis. in Tehnika Savez inženjera i tehničara Srbije, Beograd., 68(5), 905-909. https://hdl.handle.net/21.15107/rcub_grafar_500
Davidović MD, Davidović M, Srećković M. Use of Husimi function in time frequency signal analysis. in Tehnika. 2013;68(5):905-909. https://hdl.handle.net/21.15107/rcub_grafar_500 .
Davidović, Miloš D., Davidović, Milena, Srećković, Milesa, "Use of Husimi function in time frequency signal analysis" in Tehnika, 68, no. 5 (2013):905-909, https://hdl.handle.net/21.15107/rcub_grafar_500 .