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