Effects of Cauchy Integral Formula Discretization on the Precision of IF Estimation: Unified Approach to Complex-Lag Distribution and its Counterpart L-Form

Effects of Cauchy integral formula discretization on the concentration of time-frequency (TF) distribution are analyzed. As a result of this discretization, new forms of distributions are produced. In order to increase the accuracy of instantaneous frequency (IF) estimation, two solutions are consid...

Full description

Saved in:
Bibliographic Details
Published in:IEEE signal processing letters 2009-04, Vol.16 (4), p.327-330
Main Authors: Stankovic, S., Orovic, I., Ioana, C.
Format: Article
Language:English
Subjects:
Accuracy
Cauchy integral formula
Complex-lag distribution
Computer Science
Discretization
Engineering Sciences
Fourier transforms
Frequency estimation
instantaneous frequency
Integral equations
Intermediate frequency
Noise
noise analysis
Phase estimation
Representations
Signal analysis
Signal and Image Processing
Signal processing
Signal representations
Time frequency analysis
time-frequency distributions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Effects of Cauchy integral formula discretization on the concentration of time-frequency (TF) distribution are analyzed. As a result of this discretization, new forms of distributions are produced. In order to increase the accuracy of instantaneous frequency (IF) estimation, two solutions are considered: increasing the number of integration points and multiple successive integrations using the same number of points (it corresponds to the L-form of the TF distribution). In practical applications, the L-form of the fourth-order complex-lag distribution produces very efficient representation. In this case, the analysis of noise influence is also provided.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2008.2011711