Use of Husimi function in time frequency signal analysis
Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala
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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.
Keywords:
Husimi function / Wigner function / time frequency analysis / Husimijeva funkcija / Vignerova funkcija / vremensko-frekvencijska analizaSource:
Tehnika, 2013, 68, 5, 905-909Funding / projects:
- A new approach to foundational problems of quantum mechanics related to applications in quantum technologies and interpretations of signals of various origins (RS-MESTD-Basic Research (BR or ON)-171028)
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VinčaTY - JOUR AU - Davidović, Miloš D. AU - Davidović, Milena D. AU - Srećković, Milesa PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10951 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. T2 - Tehnika T1 - Use of Husimi function in time frequency signal analysis T1 - Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala VL - 68 IS - 5 SP - 905 EP - 909 UR - https://hdl.handle.net/21.15107/rcub_vinar_10951 ER -
@article{ author = "Davidović, Miloš D. and Davidović, Milena D. 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.", journal = "Tehnika", title = "Use of Husimi function in time frequency signal analysis, Primena Husimijeve funkcije u vremensko-frekvencijskoj analizi signala", volume = "68", number = "5", pages = "905-909", url = "https://hdl.handle.net/21.15107/rcub_vinar_10951" }
Davidović, M. D., Davidović, M. D.,& Srećković, M.. (2013). Use of Husimi function in time frequency signal analysis. in Tehnika, 68(5), 905-909. https://hdl.handle.net/21.15107/rcub_vinar_10951
Davidović MD, Davidović MD, 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_vinar_10951 .
Davidović, Miloš D., Davidović, Milena D., 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_vinar_10951 .