Effects of Cauchy integral formula discretization on the precision of IF estimation; unified approach to complex-lag distribution and its counterpart L form

Irena Orovic (1) , Srdjan Stankovic (1) , Cornel Ioana (2)

1 Groupe TFSA
2 GIPSA-SIGMAPHY - GIPSA - Signal Images Physique

An interpretation of time-frequency (TF) distribution concentration based on discretization of Cauchy's integral formula, is provided. In order to increase the accuracy of instantaneous frequency (IF) estimation, two solutions are considered: increasing the number of points for integration and multiple integrations using the same number of points (it corresponds to L form of TF distribution). In practical applications, L form of the fourth order complex-lag distribution has shown excellent results. For this case the analysis of noise influence is provided, as well.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Irena Orovic, Srdjan Stankovic, Cornel Ioana. Effects of Cauchy integral formula discretization on the precision of IF estimation; unified approach to complex-lag distribution and its counterpart L form. IEEE Signal Processing Letters, 2009, 16 (4), pp.327-330. ⟨10.1109/LSP.2008.2011711⟩. ⟨hal-00349537⟩